College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Transcribed Image Text:**Figure Description:**
In this problem, two blocks, each with a mass of 9.20 kg, are connected by a massless string that is placed over a pulley. The pulley has a radius of 1.20 cm and a rotational inertia of \(7.40 \times 10^{-4} \, \text{kg}\cdot\text{m}^2\).
Key aspects to consider:
- **Pulley Properties:** The string does not slip on the pulley, and the axis of the pulley is frictionless. It is not specified whether there is friction between the table and the sliding block.
- **Initial Conditions:** From rest, the pulley turns through 0.600 rad in 147 ms, indicating that the blocks' acceleration is constant throughout this period.
**Objectives:**
Calculate the following:
(a) The magnitude of the pulley's angular acceleration.
(b) The magnitude of either block's acceleration.
(c) The tension in the string on the side connecting to the block overhanging the pulley (\(T_1\)).
(d) The tension in the string on the side of the block on the table (\(T_2\)).
**Assumption:** The free-fall acceleration is assumed to be \(9.81 \, \text{m/s}^2\).
**Diagram Details:**
The diagram shows:
- A block on a table connected by a string over a pulley to a block hanging off the edge of the table.
- The tension in the string on the side of the block on the table is labeled \(T_1\).
- The tension in the string on the side of the hanging block is labeled \(T_2\).
This setup is used to illustrate problems involving rotational dynamics, tension in strings, and kinematics.
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