Problem: A 2.00-kg textbook rests on a frictionless, horizontal surface. A cord attached to the book passes over a pulley whose diameter is 0.150 m, to a hanging book with mass 3.00 kg. The system is released from rest, and the books are observed to move 1.20 m in 0.800 s. (a) What is the tension in each part of the cord? (b) What is the moment of inertia of the pulley about its rotation axis?

FREE Expert Solution

In this problem, we are dealing with acceleration. We have the acceleration of the blocks and the rotational acceleration. We'll also use the relationship between torque and angular acceleration.

Uniform accelerated motion (UAM) equations, a.k.a. "kinematics equations":

 vf = v0 +atx= (vf+v02)tx= v0t+12at2 vf2= v02 +2ax

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Problem Details

A 2.00-kg textbook rests on a frictionless, horizontal surface. A cord attached to the book passes over a pulley whose diameter is 0.150 m, to a hanging book with mass 3.00 kg. The system is released from rest, and the books are observed to move 1.20 m in 0.800 s. 

(a) What is the tension in each part of the cord? 

(b) What is the moment of inertia of the pulley about its rotation axis?

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Torque & Acceleration concept. If you need more Torque & Acceleration practice, you can also practice Torque & Acceleration practice problems.