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Vigyan Ashram, Pabal
Quick Revision
Weight (N) = mass (kg) x
gravity (m/s2
)
pivot
1 m2 m
? kg 60 kg
•Big distance
•Small force
•Small distance
•Big force
30 kg
Moment (Nm) = Force (N) x
distance from pivot (m)
Pulleys
Where are pulleys used?
Transport over difficult terrain
How do pulleys work?
Problem:
We want to lift a 20 kg bucket of water.
Bucket Lift
Too Heavy!
Weight (N) = mass (kg) x gravity (m/s2
)
Bucket weight = 20kg x 10m/s2
= 200 N
Weight
= 200N
Force to
lift bucket
= 200N
How do pulleys work?
Simple Pulley:
200N
200N
Force In –
person pulls
rope
Force Out –
force to lift
bucket
upwards
Force In Rope –
force is
constant along
length
Force In = Force Out
Pulley video 1
How do pulleys work?
Simple Pulley:
200N
100N
Force In –
person pulls
rope
Force Out –
force to lift
bucket
upwards
Force In Rope –
force is
constant along
length at 100N
Force Out is more
than Force In! •Pulley video 2
Total force to
lift bucket
upwards
200N
Weight
of bucket
Force in each
end of rope
needed to lift
bucket
100N 100N
100N
Mechanical Advantage
= ÷
200N
200N
Force In –
person pulls
rope
Force Out –
force to lift
bucket
upwards
Force InMechanical Advantage Force Out
= ÷ 200 N1 200 N
Mechanical Advantage
= ÷
200N
100N
Force In –
person pulls
rope
Force Out –
force to lift
bucket
upwards
Force InMechanical Advantage Force Out
= ÷ 100 N2 200 N
Shortcut!
= x Number of movable
pulleys
Mechanical Advantage 2
200N
50N
Force In –
force in rope
Weight
Static
Pulleys
Movable
Pulleys
= x 24 2
Mechanical Advantage
= ÷
200N
50N
Force In –
force in rope
Force Out –
force to lift
bucket
upwards
Force InMechanical Advantage Force Out
= ÷ 50 N4 200 N
•4 ropes
•Force In Rope =
200 ÷ 4
Weight
Total Force to
lift bucket
upwards
50N50N50N50N
200N
= x
= x
Shortcut!
Force InForce Out Mechanical Advantage
200N
50N
Force In – pull
on rope
Force Out –
force to lift
bucket
Static
Pulleys
2 Movable
Pulleys
50N200N 4
एक खेळ खेळूया!
मी एका कार कंपनीचा मालक आहे
मला चोरापासून संरक्षण होण्यासाठी एक मोठ गेट बनवावं
लागणार आहे
गेट १०००KG चे आहे त्यामुळे ते बाहेरून उघडता येणार
नाही.
मला माझे कामगार ते आतून उघडू शकतील असं काहीतरी
करायचं आहे
मी हे काम स्वस्तात करू इच्छितोच्छितो
Extra points for creativity and good presentation!
लक्षात ठेवा तुम्हीही एक स्पधकर्धक आहात!
Business Game!
Mechanical Advantage = Force Out (N) ÷ Force In (N)
Cost per item Mass per item
Pulley 1000 rupees 10 kg
Multi-
Pulley
2000 rupees 20 kg
Cost per metre
Rope 50 rupees
Cost of electric winch Pulling force of winch
Winch 6000 rupees 2000 N
Mass of Door
Door 1000 kg
वजन (N) = वसतुमान (kg) x गुरतवाकषर
Mechanical Advantage = 2 x number of movable pulleys
Business Game!
काही कल्पना!
िनयम
4 व्यक्तींचा एक संघ
team leader ठरवा
10 mins कल्पनेविवषयी चचार करा
20 mins loadच गिणित करा
30 mins design work – दरवाज्याची रचना, पुलीची रचना, तुमच्या
रचनेवत जागेवचा नीट वापर होतोय?
20 mins working on business pitch –मी तुमची रचना का
िनवडू? तेव नीट काम करेवल का(गिणित पडताळून पहा), तुमची रचना
चांगली का आहेव, व्यवसाय कसा .कराल?
लोडच्या गिणितास गुणि असतील पणि तेव योग्य असावीत, नािवन्य, कल्पक
व्यावसाियकतेवचा िवचार, उत्तम मांडणिी.
िजकणिाऱ्या संघाला आकषरक बक्षीस!!!
Prompts
कमीत िकमत ठेववा – more pulleys or more winches?
Force शोधा
Mechanical Advantage शोधा
Pulleys िकती लागतील?
िकमत अजून कमी कशी करता येवईल? Ideas!!!
दरवाजा आिणि तयाची संरचना कशी असायला हवी आिणि
तयाचा वापर कसा करता येवईल?
तुमच्याच व्यवसायाचा आराखडा मी का िनवडावा?

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Pulleys and gears.marathi

  • 2. Quick Revision Weight (N) = mass (kg) x gravity (m/s2 ) pivot 1 m2 m ? kg 60 kg •Big distance •Small force •Small distance •Big force 30 kg Moment (Nm) = Force (N) x distance from pivot (m)
  • 3. Pulleys Where are pulleys used? Transport over difficult terrain
  • 4. How do pulleys work? Problem: We want to lift a 20 kg bucket of water. Bucket Lift Too Heavy! Weight (N) = mass (kg) x gravity (m/s2 ) Bucket weight = 20kg x 10m/s2 = 200 N Weight = 200N Force to lift bucket = 200N
  • 5. How do pulleys work? Simple Pulley: 200N 200N Force In – person pulls rope Force Out – force to lift bucket upwards Force In Rope – force is constant along length Force In = Force Out Pulley video 1
  • 6. How do pulleys work? Simple Pulley: 200N 100N Force In – person pulls rope Force Out – force to lift bucket upwards Force In Rope – force is constant along length at 100N Force Out is more than Force In! •Pulley video 2 Total force to lift bucket upwards 200N Weight of bucket Force in each end of rope needed to lift bucket 100N 100N 100N
  • 7. Mechanical Advantage = ÷ 200N 200N Force In – person pulls rope Force Out – force to lift bucket upwards Force InMechanical Advantage Force Out = ÷ 200 N1 200 N
  • 8. Mechanical Advantage = ÷ 200N 100N Force In – person pulls rope Force Out – force to lift bucket upwards Force InMechanical Advantage Force Out = ÷ 100 N2 200 N
  • 9. Shortcut! = x Number of movable pulleys Mechanical Advantage 2 200N 50N Force In – force in rope Weight Static Pulleys Movable Pulleys = x 24 2
  • 10. Mechanical Advantage = ÷ 200N 50N Force In – force in rope Force Out – force to lift bucket upwards Force InMechanical Advantage Force Out = ÷ 50 N4 200 N •4 ropes •Force In Rope = 200 ÷ 4 Weight Total Force to lift bucket upwards 50N50N50N50N 200N
  • 11. = x = x Shortcut! Force InForce Out Mechanical Advantage 200N 50N Force In – pull on rope Force Out – force to lift bucket Static Pulleys 2 Movable Pulleys 50N200N 4
  • 12. एक खेळ खेळूया! मी एका कार कंपनीचा मालक आहे मला चोरापासून संरक्षण होण्यासाठी एक मोठ गेट बनवावं लागणार आहे गेट १०००KG चे आहे त्यामुळे ते बाहेरून उघडता येणार नाही. मला माझे कामगार ते आतून उघडू शकतील असं काहीतरी करायचं आहे मी हे काम स्वस्तात करू इच्छितोच्छितो Extra points for creativity and good presentation! लक्षात ठेवा तुम्हीही एक स्पधकर्धक आहात!
  • 13. Business Game! Mechanical Advantage = Force Out (N) ÷ Force In (N) Cost per item Mass per item Pulley 1000 rupees 10 kg Multi- Pulley 2000 rupees 20 kg Cost per metre Rope 50 rupees Cost of electric winch Pulling force of winch Winch 6000 rupees 2000 N Mass of Door Door 1000 kg वजन (N) = वसतुमान (kg) x गुरतवाकषर Mechanical Advantage = 2 x number of movable pulleys
  • 15. िनयम 4 व्यक्तींचा एक संघ team leader ठरवा 10 mins कल्पनेविवषयी चचार करा 20 mins loadच गिणित करा 30 mins design work – दरवाज्याची रचना, पुलीची रचना, तुमच्या रचनेवत जागेवचा नीट वापर होतोय? 20 mins working on business pitch –मी तुमची रचना का िनवडू? तेव नीट काम करेवल का(गिणित पडताळून पहा), तुमची रचना चांगली का आहेव, व्यवसाय कसा .कराल? लोडच्या गिणितास गुणि असतील पणि तेव योग्य असावीत, नािवन्य, कल्पक व्यावसाियकतेवचा िवचार, उत्तम मांडणिी. िजकणिाऱ्या संघाला आकषरक बक्षीस!!!
  • 16. Prompts कमीत िकमत ठेववा – more pulleys or more winches? Force शोधा Mechanical Advantage शोधा Pulleys िकती लागतील? िकमत अजून कमी कशी करता येवईल? Ideas!!! दरवाजा आिणि तयाची संरचना कशी असायला हवी आिणि तयाचा वापर कसा करता येवईल? तुमच्याच व्यवसायाचा आराखडा मी का िनवडावा?