Body U with mass 5m is stacked on the top body W with mass m, and released. The bodies are in contact along the frictionless interface at 45 to the vertical. The body U is in contact with the frictionless vertical wall. Body W lies on the floor with coefficient of friction u. Relevant dimensions are shown in the figure. Express the results in terms of given quantities: m, g, h and u (except when u is given numerically). h U: 5m C You need not evaluate sin 45° = cos 45° = 2/2. 45 Draw the free body diagrams for the two bodies. D W: m 2). Find the critical coefficient of friction . (i.e., 3h the minimal coefficient friction to prevent sliding). Let u< Me. The system moves. Write the condition that the velocities of U and W must satisfy for the two bodies to remain in contact.

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter7: Dry Friction
Section: Chapter Questions
Problem 7.49P
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Body U with mass 5m is stacked on the top body W with
mass m, and released. The bodies are in contact along the
frictionless interface at 45 to the vertical. The body U is
in contact with the frictionless vertical wall. Body W lies
on the floor with coefficient of friction u. Relevant
h
dimensions are shown in the figure. Express the results in
U: 5m
terms of given quantities: m, g, h and µ (except when u is
given numerically).
You need not evaluate sin 45° = cos 45° = 2/2.
45
1 Draw the free body diagrams for the two bodies.
W: m
Find the critical coefficient of friction µ. (i.e.,
the minimal coefficient friction to prevent sliding).
3h
31 Let u<He. The system moves. Write the
condition that the velocities of U and W must satisfy for the two bodies to remain in contact.
Transcribed Image Text:Body U with mass 5m is stacked on the top body W with mass m, and released. The bodies are in contact along the frictionless interface at 45 to the vertical. The body U is in contact with the frictionless vertical wall. Body W lies on the floor with coefficient of friction u. Relevant h dimensions are shown in the figure. Express the results in U: 5m terms of given quantities: m, g, h and µ (except when u is given numerically). You need not evaluate sin 45° = cos 45° = 2/2. 45 1 Draw the free body diagrams for the two bodies. W: m Find the critical coefficient of friction µ. (i.e., the minimal coefficient friction to prevent sliding). 3h 31 Let u<He. The system moves. Write the condition that the velocities of U and W must satisfy for the two bodies to remain in contact.
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