Answered: Consider the Atwood machine, where two…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

Consider the Atwood machine, where two masses m1 = 12.6 kg and m2 = 4.2 kg are connected by an ideal wire that passes through a pulley of mass M = E of radius R = 0.15 m. The pulley is attached, but can rotate freely around its axis of symmetry. As shown in the Figure below, at the initial instant the mass m1 is at a height h= 3.29 m in relation to m2. Knowing that the system starts from rest, and that the magnitude of the linear velocity of m1 when the masses pass through the same vertical position is v=3.31 m/s, what is the mass M of the pulley? Here, assume the acceleration due to gravity as g=10 m/s², the pulley moment of inertia as I=MR2 and, finally, that the wire does not slide on the pulley.

Choose one:

a. 4,2 kg

b. 14,7 kg

c. 10,5 kg

d. 6,3 kg

e. 12,6 kg

f. 16,8 kg

g. 8,4 kg

h. None of the other alternatives.