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Torque Calculations with Pulleys Torque Calculations with Pulleys

Torque Calculations with Pulleys - PowerPoint Presentation

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Uploaded On 2018-09-22

Torque Calculations with Pulleys - PPT Presentation

Review Newtons Second Law Pulley on horizontal surface Given a mass of 14 kg on a horizontal table It is attached by a rope over a pulley to a mass of 26 kg which hangs vertically μ 01 ID: 676004

pulley mass hanging acceleration mass pulley acceleration hanging rope hangs equation torque net incline eliminate disk wrapped vertically write

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Presentation Transcript

Slide1

Torque Calculations with PulleysSlide2

Review Newton’s Second Law. Pulley on horizontal surface

Given a mass of 14 kg on a horizontal table. It is attached by a rope over a pulley to a mass of 26 kg which hangs vertically.

μ

= 0.1

 . What is the acceleration?

A = 6 m/s

2

F

T

= 98 NSlide3

Atwood machine review

Given mass 1 is 90 kg and mass 2 is 50 kg, what is the acceleration?

A = 2.8 m/s

2

F

T

= 630 NSlide4

Incline Plane with pulley

Given

θ = 25 ̊

an incline has a mass of 20 kg placed upon it. It is attached by a rope over a pulley to a mass of 30 kg which hangs vertically. The coefficient of friction is 0.2. The acceleration will be…

A = 3.5 m/s

2

F

T

= 189 NSlide5

Example

Consider a hanging mass wrapped around a

MASSIVE pulley. The hanging mass has

weight,

mg

, the mass of the pulley is mp, the

radius is R, and the moment of inertia about itscenter of mass Icm

= 1/2m

p

R

2

. (assuming the

pulley is a uniform disk). Determine the

acceleration of the hanging mass.

Pulleys with massSlide6

HOW TO: STEPS TO GUIDE THINKING

1. Draw free body diagrams for the masses and the pulley.

2. Write an equation for Net force for each mass’s acceleration.

3. Write an equation for Net Torque for the pulley.

4. In the torque equation, eliminate α

and sub a/r.

5. Combine the equations to eliminate T(tension) and be left with unknown a. 6. Solve for a. Slide7

Ex. 1

A 1.53 kg mass hangs on a rope wrapped around a disk-shaped pulley of mass 7.07 kg and radius 66 cm. What is the linear acceleration of the hanging mass?

A = 2.96 m/s

2Slide8

Ex. 2

A = 2.9 m/s

2Slide9

Ex. 3

A = 7.35 m/s

2