Answered: An Atwood's machine consists of two…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter6: Energy Of A System

Section: Chapter Questions

Problem 3P: A block of mass m = 2.50 kg is pushed a distance d = 2.20 m along a frictionless, horizontal table...

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Question

An Atwood's machine consists of two different masses, both hanging vertically and connected by an ideal string which passes over a pulley. Let the masses be M1 and M2 and M2 = 2M1. Initially, M1 is held fixed a distance y below M2. Find the speed of the blocks when they are the same elevation (that is, the same horizontal position, by then each block has moved y/2).

Expert Solution

Step 1

Given: The relation between the mass of two blocks is, $M_{2} = 2 M_{1}$ .

Let's consider the speed of the blocks after displacement of distance $\frac{y}{2}$ is $V$ .

From the equation of energy conservation:

${(K E)}_{i} + {(P E)}_{i} = {(K E)}_{f} + {(P E)}_{f}$

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