In the figure below, two 8.00 kg blocks are connected by a massless string over a pulley of radius 2.90 cm and rotational inertia 8.00 x 10-4 kg • m2. The string does not slip on the pulley; it is not known whetherthere is friction between the table and the sliding block; the pulley's axis is frictionless. When this system is released from rest, the pulley turns through 0.150 rad in 60.0 ms, and the acceleration of the blocks isconstant.T(a) What is the magnitude of the pulley's angular acceleration?rad/s2(b) What is the magnitude of either block's acceleration?m/s2(c) What is the string tension T1?N

Givenm1=m2=m=8 kgr=2.9 cmI=8×10-4 kg m2θ=0.150 radt=60 ms=

Answered: a) What is the magnitude of the…

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a) What is the magnitude of the pulley's angular acc |rad/s²

College Physics

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ISBN:9781305952300

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Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

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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

In the figure below, two 8.00 kg blocks are connected by a massless string over a pulley of radius 2.90 cm and rotational inertia 8.00 x 10-4 kg • m2. The string does not slip on the pulley; it is not known whether
there is friction between the table and the sliding block; the pulley's axis is frictionless. When this system is released from rest, the pulley turns through 0.150 rad in 60.0 ms, and the acceleration of the blocks is
constant.
T
(a) What is the magnitude of the pulley's angular acceleration?
rad/s2
(b) What is the magnitude of either block's acceleration?
m/s2
(c) What is the string tension T1?
N

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