A hollow cylinder of outer radius R = 11 cm and mass M = 68 g with moment of inertia about the center of mass I com = MR2 starts from rest and moves down an incline tilted at an angle 0 = 27° from the horizontal. The center of mass of the cylinder has dropped a vertical distance h = 152 cm when it reaches the bottom of the incline. The coefficient of static friction between the cylinder and the surface is u s. The cylinder rolls without slipping down the incline. What is the magnitude of the velocity of the center of mass of the cylinder when it reaches the bottom of the incline? (Your answer must be in units of m /s and include 2 digit after the decimal point. Maximum of 5% of error is accepted in your answer. Take g=9.80 m /s2.) h

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
Chapter10: Rotational Motion
Section: Chapter Questions
Problem 71P: The reel shown in Figure P10.71 has radius R and moment of inertia I. One end of the block of mass m...
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A hollow cylinder of outer radius R = 11 cm and mass M = 68 g with moment of inertia about the center of mass I
com = MR2 starts from rest and moves down an incline tilted at an angle 0 = 27° from the horizontal. The center
of mass of the cylinder has dropped a vertical distance h = 152 cm when it reaches the bottom of the incline. The
coefficient of static friction between the cylinder and the surface is u s. The cylinder rolls without slipping down
the incline. What is the magnitude of the velocity of the center of mass of the cylinder when it reaches the
bottom of the incline? (Your answer must be in units of m /s and include 2 digit after the decimal point.
Maximum of 5% of error is accepted in your answer. Take g=9.80 m /s2.)
h
Transcribed Image Text:A hollow cylinder of outer radius R = 11 cm and mass M = 68 g with moment of inertia about the center of mass I com = MR2 starts from rest and moves down an incline tilted at an angle 0 = 27° from the horizontal. The center of mass of the cylinder has dropped a vertical distance h = 152 cm when it reaches the bottom of the incline. The coefficient of static friction between the cylinder and the surface is u s. The cylinder rolls without slipping down the incline. What is the magnitude of the velocity of the center of mass of the cylinder when it reaches the bottom of the incline? (Your answer must be in units of m /s and include 2 digit after the decimal point. Maximum of 5% of error is accepted in your answer. Take g=9.80 m /s2.) h
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