SlideShare a Scribd company logo
1 of 2
Download to read offline
A uniform thin bar AB of length L = 6 ft is released from rest at an angle theta = theta1. As the
bar slides, the cnds.4 and B maintain contact with the surfaces on which they slide. Neglecting
friction and knowing that the cndL4 has a speed of 19 ft/s right before hitting the floor,
determine theta1.
Solution
the instant axis of rotation is the point of intersection of lines drawn from A and B
and parallel to the floor and the wall respectively.Let this point be O.
Now at theta
torque about htis point=weight*(horizontal distance of O from centre of mass of rod)
=mg*L{sin0}/2
this should be equal to (moment of inertia)*angular accleration
Now, IO=ICM+m(OC)2=mL2/12+m*L2/4=mL2/3
thus mg*L{sin0}/2=mL2/3*dw/dt [where w=angular velocity of rod]
dw/dt=3gsin0/(2L)
applying chain rule, dw/dt=dw/d0*d0/dt [0=angular displacement]
=w*dw/d0
w*dw/d0=(3g/2L)sin0
w*dw=(3g/2L)sin0d0
integrating, we get
w2/2=(-3g/2L)cos0+c
now at 0=01, w=0 which gives
c=(3g/2L)cos0
thus w=sqrt[(3g/L)(cos01-cos0)]
now at 0=pi/2
w=sqrt[(3g/L)cos01]
and velocity of A=wxr=L*sqrt[(3g/L)cos01]
thus L*sqrt[(3g/L)cos01]=19
L2*(3g/L)cos01=361
cos01=361/(3gL)=0.62
thus, 01=51.43 degrees
A uniform thin bar AB of length L - 6 ft is released from rest at an a.docx

More Related Content

Similar to A uniform thin bar AB of length L - 6 ft is released from rest at an a.docx

IIT - JEE Main 2016 Sample Paper -4
IIT - JEE Main 2016 Sample Paper -4IIT - JEE Main 2016 Sample Paper -4
IIT - JEE Main 2016 Sample Paper -4APEX INSTITUTE
 
IIT- JEE Main 2016 Sample Paper-1
IIT- JEE Main 2016 Sample Paper-1IIT- JEE Main 2016 Sample Paper-1
IIT- JEE Main 2016 Sample Paper-1APEX INSTITUTE
 
Curves and there application in Survey
Curves and there application in SurveyCurves and there application in Survey
Curves and there application in SurveyLord1911
 
10346 07 08 examination paper
10346 07 08 examination paper10346 07 08 examination paper
10346 07 08 examination paperEddy Ching
 

Similar to A uniform thin bar AB of length L - 6 ft is released from rest at an a.docx (7)

Solution manual 16
Solution manual 16Solution manual 16
Solution manual 16
 
Solution manual 17 19
Solution manual 17 19Solution manual 17 19
Solution manual 17 19
 
IIT - JEE Main 2016 Sample Paper -4
IIT - JEE Main 2016 Sample Paper -4IIT - JEE Main 2016 Sample Paper -4
IIT - JEE Main 2016 Sample Paper -4
 
IIT- JEE Main 2016 Sample Paper-1
IIT- JEE Main 2016 Sample Paper-1IIT- JEE Main 2016 Sample Paper-1
IIT- JEE Main 2016 Sample Paper-1
 
Unit 4 Curves.pptx
Unit 4 Curves.pptxUnit 4 Curves.pptx
Unit 4 Curves.pptx
 
Curves and there application in Survey
Curves and there application in SurveyCurves and there application in Survey
Curves and there application in Survey
 
10346 07 08 examination paper
10346 07 08 examination paper10346 07 08 examination paper
10346 07 08 examination paper
 

More from tjames442

A string is wrapped around a uniform disk of mass M - 1-5 kg and radiu.docx
A string is wrapped around a uniform disk of mass M - 1-5 kg and radiu.docxA string is wrapped around a uniform disk of mass M - 1-5 kg and radiu.docx
A string is wrapped around a uniform disk of mass M - 1-5 kg and radiu.docxtjames442
 
A student is walking at 1-22 m-s- If they weighs 552 N- what is the ma.docx
A student is walking at 1-22 m-s- If they weighs 552 N- what is the ma.docxA student is walking at 1-22 m-s- If they weighs 552 N- what is the ma.docx
A student is walking at 1-22 m-s- If they weighs 552 N- what is the ma.docxtjames442
 
a student did not completely burn all the magnesium and some un-burned.docx
a student did not completely burn all the magnesium and some un-burned.docxa student did not completely burn all the magnesium and some un-burned.docx
a student did not completely burn all the magnesium and some un-burned.docxtjames442
 
A stretched string fixed at each end has a mass of 45-0 g and a length.docx
A stretched string fixed at each end has a mass of 45-0 g and a length.docxA stretched string fixed at each end has a mass of 45-0 g and a length.docx
A stretched string fixed at each end has a mass of 45-0 g and a length.docxtjames442
 
A stream containing 60- octane and 40- hexadecane (mole basis) at 5-0.docx
A stream containing 60- octane and 40-  hexadecane (mole basis) at 5-0.docxA stream containing 60- octane and 40-  hexadecane (mole basis) at 5-0.docx
A stream containing 60- octane and 40- hexadecane (mole basis) at 5-0.docxtjames442
 
A stock has had returns of 8 percent- 26 percent- 18 percent- 14 perce.docx
A stock has had returns of 8 percent- 26 percent- 18 percent- 14 perce.docxA stock has had returns of 8 percent- 26 percent- 18 percent- 14 perce.docx
A stock has had returns of 8 percent- 26 percent- 18 percent- 14 perce.docxtjames442
 
A stock had returns of 8-- 39-- 11-- and -24- for the past four years- (1).docx
A stock had returns of 8-- 39-- 11-- and -24- for the past four years- (1).docxA stock had returns of 8-- 39-- 11-- and -24- for the past four years- (1).docx
A stock had returns of 8-- 39-- 11-- and -24- for the past four years- (1).docxtjames442
 
A step by step would be appreciated! Assume you have a module that con.docx
A step by step would be appreciated! Assume you have a module that con.docxA step by step would be appreciated! Assume you have a module that con.docx
A step by step would be appreciated! Assume you have a module that con.docxtjames442
 
A stereo system is being installed in a room with a rectangular floor.docx
A stereo system is being installed in a room with a rectangular floor.docxA stereo system is being installed in a room with a rectangular floor.docx
A stereo system is being installed in a room with a rectangular floor.docxtjames442
 
A steady- incompressible- two-dimensional velocity field is given by.docx
A steady- incompressible- two-dimensional velocity field is  given by.docxA steady- incompressible- two-dimensional velocity field is  given by.docx
A steady- incompressible- two-dimensional velocity field is given by.docxtjames442
 
A stationary tennis ball is dropped from a height of 1 m- As a result-.docx
A stationary tennis ball is dropped from a height of 1 m- As a result-.docxA stationary tennis ball is dropped from a height of 1 m- As a result-.docx
A stationary tennis ball is dropped from a height of 1 m- As a result-.docxtjames442
 
A star is 17-2 ly (light-years) from Earth- HINT (a) At what constant.docx
A star is 17-2 ly (light-years) from Earth- HINT (a) At what constant.docxA star is 17-2 ly (light-years) from Earth- HINT (a) At what constant.docx
A star is 17-2 ly (light-years) from Earth- HINT (a) At what constant.docxtjames442
 
A star of mass 2-0 - 1028 kg that is 1-4 - 1020 m from the center of a.docx
A star of mass 2-0 - 1028 kg that is 1-4 - 1020 m from the center of a.docxA star of mass 2-0 - 1028 kg that is 1-4 - 1020 m from the center of a.docx
A star of mass 2-0 - 1028 kg that is 1-4 - 1020 m from the center of a.docxtjames442
 
A standard galvanic cell is constructed with Cu2+ - Cu and I2 - I- hal.docx
A standard galvanic cell is constructed with Cu2+ - Cu and I2 - I- hal.docxA standard galvanic cell is constructed with Cu2+ - Cu and I2 - I- hal.docx
A standard galvanic cell is constructed with Cu2+ - Cu and I2 - I- hal.docxtjames442
 
A staff assistant at Whitmere Corporation recently determined that the.docx
A staff assistant at Whitmere Corporation recently determined that the.docxA staff assistant at Whitmere Corporation recently determined that the.docx
A staff assistant at Whitmere Corporation recently determined that the.docxtjames442
 
A square matrix A is called skew-symmetric if AT - -A- Prove- If A an.docx
A square matrix A is called skew-symmetric if AT - -A- Prove-  If A an.docxA square matrix A is called skew-symmetric if AT - -A- Prove-  If A an.docx
A square matrix A is called skew-symmetric if AT - -A- Prove- If A an.docxtjames442
 
A spherical mirror forms an image of an arrow atx x2956 om- The mirror.docx
A spherical mirror forms an image of an arrow atx x2956 om- The mirror.docxA spherical mirror forms an image of an arrow atx x2956 om- The mirror.docx
A spherical mirror forms an image of an arrow atx x2956 om- The mirror.docxtjames442
 
A sporting goods store has ordered x tents that cost $100 each- The.docx
A sporting goods store has ordered  x  tents that cost $100 each- The.docxA sporting goods store has ordered  x  tents that cost $100 each- The.docx
A sporting goods store has ordered x tents that cost $100 each- The.docxtjames442
 
a speed of 0-5c relative to Earth An astronaut aboard a soacecraft enr.docx
a speed of 0-5c relative to Earth An astronaut aboard a soacecraft enr.docxa speed of 0-5c relative to Earth An astronaut aboard a soacecraft enr.docx
a speed of 0-5c relative to Earth An astronaut aboard a soacecraft enr.docxtjames442
 
A source which can be represented by a voltage source of 5Vrms in seri.docx
A source which can be represented by a voltage source of 5Vrms in seri.docxA source which can be represented by a voltage source of 5Vrms in seri.docx
A source which can be represented by a voltage source of 5Vrms in seri.docxtjames442
 

More from tjames442 (20)

A string is wrapped around a uniform disk of mass M - 1-5 kg and radiu.docx
A string is wrapped around a uniform disk of mass M - 1-5 kg and radiu.docxA string is wrapped around a uniform disk of mass M - 1-5 kg and radiu.docx
A string is wrapped around a uniform disk of mass M - 1-5 kg and radiu.docx
 
A student is walking at 1-22 m-s- If they weighs 552 N- what is the ma.docx
A student is walking at 1-22 m-s- If they weighs 552 N- what is the ma.docxA student is walking at 1-22 m-s- If they weighs 552 N- what is the ma.docx
A student is walking at 1-22 m-s- If they weighs 552 N- what is the ma.docx
 
a student did not completely burn all the magnesium and some un-burned.docx
a student did not completely burn all the magnesium and some un-burned.docxa student did not completely burn all the magnesium and some un-burned.docx
a student did not completely burn all the magnesium and some un-burned.docx
 
A stretched string fixed at each end has a mass of 45-0 g and a length.docx
A stretched string fixed at each end has a mass of 45-0 g and a length.docxA stretched string fixed at each end has a mass of 45-0 g and a length.docx
A stretched string fixed at each end has a mass of 45-0 g and a length.docx
 
A stream containing 60- octane and 40- hexadecane (mole basis) at 5-0.docx
A stream containing 60- octane and 40-  hexadecane (mole basis) at 5-0.docxA stream containing 60- octane and 40-  hexadecane (mole basis) at 5-0.docx
A stream containing 60- octane and 40- hexadecane (mole basis) at 5-0.docx
 
A stock has had returns of 8 percent- 26 percent- 18 percent- 14 perce.docx
A stock has had returns of 8 percent- 26 percent- 18 percent- 14 perce.docxA stock has had returns of 8 percent- 26 percent- 18 percent- 14 perce.docx
A stock has had returns of 8 percent- 26 percent- 18 percent- 14 perce.docx
 
A stock had returns of 8-- 39-- 11-- and -24- for the past four years- (1).docx
A stock had returns of 8-- 39-- 11-- and -24- for the past four years- (1).docxA stock had returns of 8-- 39-- 11-- and -24- for the past four years- (1).docx
A stock had returns of 8-- 39-- 11-- and -24- for the past four years- (1).docx
 
A step by step would be appreciated! Assume you have a module that con.docx
A step by step would be appreciated! Assume you have a module that con.docxA step by step would be appreciated! Assume you have a module that con.docx
A step by step would be appreciated! Assume you have a module that con.docx
 
A stereo system is being installed in a room with a rectangular floor.docx
A stereo system is being installed in a room with a rectangular floor.docxA stereo system is being installed in a room with a rectangular floor.docx
A stereo system is being installed in a room with a rectangular floor.docx
 
A steady- incompressible- two-dimensional velocity field is given by.docx
A steady- incompressible- two-dimensional velocity field is  given by.docxA steady- incompressible- two-dimensional velocity field is  given by.docx
A steady- incompressible- two-dimensional velocity field is given by.docx
 
A stationary tennis ball is dropped from a height of 1 m- As a result-.docx
A stationary tennis ball is dropped from a height of 1 m- As a result-.docxA stationary tennis ball is dropped from a height of 1 m- As a result-.docx
A stationary tennis ball is dropped from a height of 1 m- As a result-.docx
 
A star is 17-2 ly (light-years) from Earth- HINT (a) At what constant.docx
A star is 17-2 ly (light-years) from Earth- HINT (a) At what constant.docxA star is 17-2 ly (light-years) from Earth- HINT (a) At what constant.docx
A star is 17-2 ly (light-years) from Earth- HINT (a) At what constant.docx
 
A star of mass 2-0 - 1028 kg that is 1-4 - 1020 m from the center of a.docx
A star of mass 2-0 - 1028 kg that is 1-4 - 1020 m from the center of a.docxA star of mass 2-0 - 1028 kg that is 1-4 - 1020 m from the center of a.docx
A star of mass 2-0 - 1028 kg that is 1-4 - 1020 m from the center of a.docx
 
A standard galvanic cell is constructed with Cu2+ - Cu and I2 - I- hal.docx
A standard galvanic cell is constructed with Cu2+ - Cu and I2 - I- hal.docxA standard galvanic cell is constructed with Cu2+ - Cu and I2 - I- hal.docx
A standard galvanic cell is constructed with Cu2+ - Cu and I2 - I- hal.docx
 
A staff assistant at Whitmere Corporation recently determined that the.docx
A staff assistant at Whitmere Corporation recently determined that the.docxA staff assistant at Whitmere Corporation recently determined that the.docx
A staff assistant at Whitmere Corporation recently determined that the.docx
 
A square matrix A is called skew-symmetric if AT - -A- Prove- If A an.docx
A square matrix A is called skew-symmetric if AT - -A- Prove-  If A an.docxA square matrix A is called skew-symmetric if AT - -A- Prove-  If A an.docx
A square matrix A is called skew-symmetric if AT - -A- Prove- If A an.docx
 
A spherical mirror forms an image of an arrow atx x2956 om- The mirror.docx
A spherical mirror forms an image of an arrow atx x2956 om- The mirror.docxA spherical mirror forms an image of an arrow atx x2956 om- The mirror.docx
A spherical mirror forms an image of an arrow atx x2956 om- The mirror.docx
 
A sporting goods store has ordered x tents that cost $100 each- The.docx
A sporting goods store has ordered  x  tents that cost $100 each- The.docxA sporting goods store has ordered  x  tents that cost $100 each- The.docx
A sporting goods store has ordered x tents that cost $100 each- The.docx
 
a speed of 0-5c relative to Earth An astronaut aboard a soacecraft enr.docx
a speed of 0-5c relative to Earth An astronaut aboard a soacecraft enr.docxa speed of 0-5c relative to Earth An astronaut aboard a soacecraft enr.docx
a speed of 0-5c relative to Earth An astronaut aboard a soacecraft enr.docx
 
A source which can be represented by a voltage source of 5Vrms in seri.docx
A source which can be represented by a voltage source of 5Vrms in seri.docxA source which can be represented by a voltage source of 5Vrms in seri.docx
A source which can be represented by a voltage source of 5Vrms in seri.docx
 

Recently uploaded

AUDIENCE THEORY -- FANDOM -- JENKINS.pptx
AUDIENCE THEORY -- FANDOM -- JENKINS.pptxAUDIENCE THEORY -- FANDOM -- JENKINS.pptx
AUDIENCE THEORY -- FANDOM -- JENKINS.pptxiammrhaywood
 
How to Add a many2many Relational Field in Odoo 17
How to Add a many2many Relational Field in Odoo 17How to Add a many2many Relational Field in Odoo 17
How to Add a many2many Relational Field in Odoo 17Celine George
 
What is the Future of QuickBooks DeskTop?
What is the Future of QuickBooks DeskTop?What is the Future of QuickBooks DeskTop?
What is the Future of QuickBooks DeskTop?TechSoup
 
Clinical Pharmacy Introduction to Clinical Pharmacy, Concept of clinical pptx
Clinical Pharmacy  Introduction to Clinical Pharmacy, Concept of clinical pptxClinical Pharmacy  Introduction to Clinical Pharmacy, Concept of clinical pptx
Clinical Pharmacy Introduction to Clinical Pharmacy, Concept of clinical pptxraviapr7
 
Prescribed medication order and communication skills.pptx
Prescribed medication order and communication skills.pptxPrescribed medication order and communication skills.pptx
Prescribed medication order and communication skills.pptxraviapr7
 
Practical Research 1: Lesson 8 Writing the Thesis Statement.pptx
Practical Research 1: Lesson 8 Writing the Thesis Statement.pptxPractical Research 1: Lesson 8 Writing the Thesis Statement.pptx
Practical Research 1: Lesson 8 Writing the Thesis Statement.pptxKatherine Villaluna
 
CHUYÊN ĐỀ DẠY THÊM TIẾNG ANH LỚP 11 - GLOBAL SUCCESS - NĂM HỌC 2023-2024 - HK...
CHUYÊN ĐỀ DẠY THÊM TIẾNG ANH LỚP 11 - GLOBAL SUCCESS - NĂM HỌC 2023-2024 - HK...CHUYÊN ĐỀ DẠY THÊM TIẾNG ANH LỚP 11 - GLOBAL SUCCESS - NĂM HỌC 2023-2024 - HK...
CHUYÊN ĐỀ DẠY THÊM TIẾNG ANH LỚP 11 - GLOBAL SUCCESS - NĂM HỌC 2023-2024 - HK...Nguyen Thanh Tu Collection
 
Easter in the USA presentation by Chloe.
Easter in the USA presentation by Chloe.Easter in the USA presentation by Chloe.
Easter in the USA presentation by Chloe.EnglishCEIPdeSigeiro
 
CapTechU Doctoral Presentation -March 2024 slides.pptx
CapTechU Doctoral Presentation -March 2024 slides.pptxCapTechU Doctoral Presentation -March 2024 slides.pptx
CapTechU Doctoral Presentation -March 2024 slides.pptxCapitolTechU
 
How to Add Existing Field in One2Many Tree View in Odoo 17
How to Add Existing Field in One2Many Tree View in Odoo 17How to Add Existing Field in One2Many Tree View in Odoo 17
How to Add Existing Field in One2Many Tree View in Odoo 17Celine George
 
The Stolen Bacillus by Herbert George Wells
The Stolen Bacillus by Herbert George WellsThe Stolen Bacillus by Herbert George Wells
The Stolen Bacillus by Herbert George WellsEugene Lysak
 
UKCGE Parental Leave Discussion March 2024
UKCGE Parental Leave Discussion March 2024UKCGE Parental Leave Discussion March 2024
UKCGE Parental Leave Discussion March 2024UKCGE
 
Drug Information Services- DIC and Sources.
Drug Information Services- DIC and Sources.Drug Information Services- DIC and Sources.
Drug Information Services- DIC and Sources.raviapr7
 
How to Solve Singleton Error in the Odoo 17
How to Solve Singleton Error in the  Odoo 17How to Solve Singleton Error in the  Odoo 17
How to Solve Singleton Error in the Odoo 17Celine George
 
5 charts on South Africa as a source country for international student recrui...
5 charts on South Africa as a source country for international student recrui...5 charts on South Africa as a source country for international student recrui...
5 charts on South Africa as a source country for international student recrui...CaraSkikne1
 
In - Vivo and In - Vitro Correlation.pptx
In - Vivo and In - Vitro Correlation.pptxIn - Vivo and In - Vitro Correlation.pptx
In - Vivo and In - Vitro Correlation.pptxAditiChauhan701637
 
Maximizing Impact_ Nonprofit Website Planning, Budgeting, and Design.pdf
Maximizing Impact_ Nonprofit Website Planning, Budgeting, and Design.pdfMaximizing Impact_ Nonprofit Website Planning, Budgeting, and Design.pdf
Maximizing Impact_ Nonprofit Website Planning, Budgeting, and Design.pdfTechSoup
 
How to Make a Field read-only in Odoo 17
How to Make a Field read-only in Odoo 17How to Make a Field read-only in Odoo 17
How to Make a Field read-only in Odoo 17Celine George
 
How to Use api.constrains ( ) in Odoo 17
How to Use api.constrains ( ) in Odoo 17How to Use api.constrains ( ) in Odoo 17
How to Use api.constrains ( ) in Odoo 17Celine George
 

Recently uploaded (20)

AUDIENCE THEORY -- FANDOM -- JENKINS.pptx
AUDIENCE THEORY -- FANDOM -- JENKINS.pptxAUDIENCE THEORY -- FANDOM -- JENKINS.pptx
AUDIENCE THEORY -- FANDOM -- JENKINS.pptx
 
How to Add a many2many Relational Field in Odoo 17
How to Add a many2many Relational Field in Odoo 17How to Add a many2many Relational Field in Odoo 17
How to Add a many2many Relational Field in Odoo 17
 
What is the Future of QuickBooks DeskTop?
What is the Future of QuickBooks DeskTop?What is the Future of QuickBooks DeskTop?
What is the Future of QuickBooks DeskTop?
 
Clinical Pharmacy Introduction to Clinical Pharmacy, Concept of clinical pptx
Clinical Pharmacy  Introduction to Clinical Pharmacy, Concept of clinical pptxClinical Pharmacy  Introduction to Clinical Pharmacy, Concept of clinical pptx
Clinical Pharmacy Introduction to Clinical Pharmacy, Concept of clinical pptx
 
Prescribed medication order and communication skills.pptx
Prescribed medication order and communication skills.pptxPrescribed medication order and communication skills.pptx
Prescribed medication order and communication skills.pptx
 
Practical Research 1: Lesson 8 Writing the Thesis Statement.pptx
Practical Research 1: Lesson 8 Writing the Thesis Statement.pptxPractical Research 1: Lesson 8 Writing the Thesis Statement.pptx
Practical Research 1: Lesson 8 Writing the Thesis Statement.pptx
 
CHUYÊN ĐỀ DẠY THÊM TIẾNG ANH LỚP 11 - GLOBAL SUCCESS - NĂM HỌC 2023-2024 - HK...
CHUYÊN ĐỀ DẠY THÊM TIẾNG ANH LỚP 11 - GLOBAL SUCCESS - NĂM HỌC 2023-2024 - HK...CHUYÊN ĐỀ DẠY THÊM TIẾNG ANH LỚP 11 - GLOBAL SUCCESS - NĂM HỌC 2023-2024 - HK...
CHUYÊN ĐỀ DẠY THÊM TIẾNG ANH LỚP 11 - GLOBAL SUCCESS - NĂM HỌC 2023-2024 - HK...
 
Easter in the USA presentation by Chloe.
Easter in the USA presentation by Chloe.Easter in the USA presentation by Chloe.
Easter in the USA presentation by Chloe.
 
CapTechU Doctoral Presentation -March 2024 slides.pptx
CapTechU Doctoral Presentation -March 2024 slides.pptxCapTechU Doctoral Presentation -March 2024 slides.pptx
CapTechU Doctoral Presentation -March 2024 slides.pptx
 
How to Add Existing Field in One2Many Tree View in Odoo 17
How to Add Existing Field in One2Many Tree View in Odoo 17How to Add Existing Field in One2Many Tree View in Odoo 17
How to Add Existing Field in One2Many Tree View in Odoo 17
 
The Stolen Bacillus by Herbert George Wells
The Stolen Bacillus by Herbert George WellsThe Stolen Bacillus by Herbert George Wells
The Stolen Bacillus by Herbert George Wells
 
UKCGE Parental Leave Discussion March 2024
UKCGE Parental Leave Discussion March 2024UKCGE Parental Leave Discussion March 2024
UKCGE Parental Leave Discussion March 2024
 
Drug Information Services- DIC and Sources.
Drug Information Services- DIC and Sources.Drug Information Services- DIC and Sources.
Drug Information Services- DIC and Sources.
 
How to Solve Singleton Error in the Odoo 17
How to Solve Singleton Error in the  Odoo 17How to Solve Singleton Error in the  Odoo 17
How to Solve Singleton Error in the Odoo 17
 
Prelims of Kant get Marx 2.0: a general politics quiz
Prelims of Kant get Marx 2.0: a general politics quizPrelims of Kant get Marx 2.0: a general politics quiz
Prelims of Kant get Marx 2.0: a general politics quiz
 
5 charts on South Africa as a source country for international student recrui...
5 charts on South Africa as a source country for international student recrui...5 charts on South Africa as a source country for international student recrui...
5 charts on South Africa as a source country for international student recrui...
 
In - Vivo and In - Vitro Correlation.pptx
In - Vivo and In - Vitro Correlation.pptxIn - Vivo and In - Vitro Correlation.pptx
In - Vivo and In - Vitro Correlation.pptx
 
Maximizing Impact_ Nonprofit Website Planning, Budgeting, and Design.pdf
Maximizing Impact_ Nonprofit Website Planning, Budgeting, and Design.pdfMaximizing Impact_ Nonprofit Website Planning, Budgeting, and Design.pdf
Maximizing Impact_ Nonprofit Website Planning, Budgeting, and Design.pdf
 
How to Make a Field read-only in Odoo 17
How to Make a Field read-only in Odoo 17How to Make a Field read-only in Odoo 17
How to Make a Field read-only in Odoo 17
 
How to Use api.constrains ( ) in Odoo 17
How to Use api.constrains ( ) in Odoo 17How to Use api.constrains ( ) in Odoo 17
How to Use api.constrains ( ) in Odoo 17
 

A uniform thin bar AB of length L - 6 ft is released from rest at an a.docx

  • 1. A uniform thin bar AB of length L = 6 ft is released from rest at an angle theta = theta1. As the bar slides, the cnds.4 and B maintain contact with the surfaces on which they slide. Neglecting friction and knowing that the cndL4 has a speed of 19 ft/s right before hitting the floor, determine theta1. Solution the instant axis of rotation is the point of intersection of lines drawn from A and B and parallel to the floor and the wall respectively.Let this point be O. Now at theta torque about htis point=weight*(horizontal distance of O from centre of mass of rod) =mg*L{sin0}/2 this should be equal to (moment of inertia)*angular accleration Now, IO=ICM+m(OC)2=mL2/12+m*L2/4=mL2/3 thus mg*L{sin0}/2=mL2/3*dw/dt [where w=angular velocity of rod] dw/dt=3gsin0/(2L) applying chain rule, dw/dt=dw/d0*d0/dt [0=angular displacement] =w*dw/d0 w*dw/d0=(3g/2L)sin0 w*dw=(3g/2L)sin0d0 integrating, we get w2/2=(-3g/2L)cos0+c now at 0=01, w=0 which gives c=(3g/2L)cos0 thus w=sqrt[(3g/L)(cos01-cos0)] now at 0=pi/2 w=sqrt[(3g/L)cos01] and velocity of A=wxr=L*sqrt[(3g/L)cos01] thus L*sqrt[(3g/L)cos01]=19 L2*(3g/L)cos01=361 cos01=361/(3gL)=0.62 thus, 01=51.43 degrees