2) A bucket of water is suspended at the end of a rope wrapped around a pulley. The pulley is pivoted on a frictionless axle passing through its center. The axle is attached to the ceiling. The bucket is released from rest and falls a distance of H. The inertia of the pulley is I = ½ MR?. M a. On the diagram above, show all the forces applied on the bucket and R pulley. b. Determine the linear acceleration of the bucket. c. Determine the angular acceleration, a of the pulley. m d. Determine the tension force in the rope. e. Determine the speed of the bucket at the end of distance H. f. Determine the force exerted on the pulley by the axle.

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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d, e , f equations 

2) A bucket of water is suspended at the end of a rope wrapped around a pulley. The pulley is
pivoted on a frictionless axle passing through its center. The axle is attached to the ceiling. The
bucket is released from rest and falls a distance of H. The inertia of the pulley is I = ½ MR?.
M
a. On the diagram above, show all the forces applied on the bucket and
'R
pulley.
b. Determine the linear acceleration of the bucket.
c. Determine the angular acceleration, a of the pulley.
d. Determine the tension force in the rope.
m
e. Determine the speed of the bucket at the end of distance H.
f. Determine the force exerted on the pulley by the axle.
Transcribed Image Text:2) A bucket of water is suspended at the end of a rope wrapped around a pulley. The pulley is pivoted on a frictionless axle passing through its center. The axle is attached to the ceiling. The bucket is released from rest and falls a distance of H. The inertia of the pulley is I = ½ MR?. M a. On the diagram above, show all the forces applied on the bucket and 'R pulley. b. Determine the linear acceleration of the bucket. c. Determine the angular acceleration, a of the pulley. d. Determine the tension force in the rope. m e. Determine the speed of the bucket at the end of distance H. f. Determine the force exerted on the pulley by the axle.
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