Two masses m1 3.2 kg and m2 1.6 kg hang from a pulley as shown in the figure. The moment of inertia through the axis of rotation passing through the center of the pulley is I = 2 kg m2. The ropes holding the masses are attached to opposite sides of the pulley at a radius R = 0.5 m from the center of the pulley. R ai T1 |T2 m2 Find the magnitude of the angular acceleration a of the pulley system. Pick the correct answer 4.9 rad/s? 7.4 rad/s? 2.5 rad/s? -7.4 rad/s? 9.8 rad/s?

Two masses m1 3.2 kg and m2 1.6 kg hang from a pulley as shown in the figure. The moment of inertia through the axis of rotation passing through the center of the pulley is I = 2 kg m2. The ropes holding the masses are attached to opposite sides of the pulley at a radius R = 0.5 m from the center of the pulley. R ai T1 |T2 m2 Find the magnitude of the angular acceleration a of the pulley system. Pick the correct answer 4.9 rad/s? 7.4 rad/s? 2.5 rad/s? -7.4 rad/s? 9.8 rad/s?

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter8: Rotational Motion

Section: Chapter Questions

Problem 5STP

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Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

Two masses m1
3.2 kg and m2
1.6 kg hang from a pulley as shown in the
figure. The moment of inertia through the axis of rotation passing through the
center of the pulley is I = 2 kg m². The ropes holding the masses are attached to
opposite sides of the pulley at a radius R = 0.5 m from the center of the pulley.
R
T1
T2
mị
m2
Find the magnitude of the angular acceleration a of the pulley system.
Pick the correct answer
4.9 rad/s?
,2
7.4 rad/s?
2.5 rad/s?
-7.4 rad/s?
9.8 rad/s?
15

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