An unknown mass m1, hangs from a string of negligible mass and descends with acceleration g/2. The other end of the rope is tied to a mass m2 which slides without friction on a horizontal surface. The rope passes through a uniform cylinder of mass m2/2 and radius R. See Figure The cylinder rotates about its horizontal axis without friction and the rope does not slip on the cylinder. Express your answers to b), c), and d) in terms of g, m2, and R. I = MR? a) Draw the free-body diagrams of the cylinder and the 2 masses. b) What is the tension in the horizontal part of the string? c) What is the tension in the vertical part of the string? d) What is the value of the unknown mass m1 m2 a=g/2

An unknown mass m1, hangs from a string of negligible mass and descends with acceleration g/2. The other end of the rope is tied to a mass m2 which slides without friction on a horizontal surface. The rope passes through a uniform cylinder of mass m2/2 and radius R. See Figure The cylinder rotates about its horizontal axis without friction and the rope does not slip on the cylinder. Express your answers to b), c), and d) in terms of g, m2, and R. I = MR? a) Draw the free-body diagrams of the cylinder and the 2 masses. b) What is the tension in the horizontal part of the string? c) What is the tension in the vertical part of the string? d) What is the value of the unknown mass m1 m2 a=g/2

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter12: Rotation I: Kinematics And Dynamics

Section: Chapter Questions

Problem 77PQ

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Concept explainers

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.

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An unknown mass m1, hangs from a string of negligible mass and descends
with acceleration g/2. The other end of the rope is tied to a mass m2 which
slides without friction on a horizontal surface. The rope passes through a
uniform cylinder of mass m2/2 and radius R. See Figure The cylinder rotates
about its horizontal axis without friction and the rope does not slip on the
cylinder. Express your answers to b), c), and d) in terms of g, m2, and
R. I = MR?
a) Draw the free-body diagrams of the cylinder and the 2 masses.
b) What is the tension in the horizontal part of the string?
c) What is the tension in the vertical part of the string?
d) What is the value of the unknown mass m1
m2
a=g/2

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