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
Download Presentation The PPT/PDF document "Torque Calculations with Pulleys" is the property of its rightful owner. Permission is granted to download and print the materials on this web site for personal, non-commercial use only, and to display it on your personal computer provided you do not modify the materials and that you retain all copyright notices contained in the materials. By downloading content from our website, you accept the terms of this agreement.
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