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 µ (except when u is given numerically). You need not evaluate sin 45° = cos 45° = 2/2. %3D h U: 5m 45 D W: m 3h

International Edition---engineering Mechanics: Statics, 4th Edition
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Chapter7: Dry Friction
Section: Chapter Questions
Problem 7.72P
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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
dimensions are shown in the figure. Express the results in
terms of given quantities: m, g, h and µ (except when µ is
given numerically).
You need not evaluate sin 45° = cos 45° = 2/2.
h
U: 5m
C
45
D
W: m
3h
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 dimensions are shown in the figure. Express the results in terms of given quantities: m, g, h and µ (except when µ is given numerically). You need not evaluate sin 45° = cos 45° = 2/2. h U: 5m C 45 D W: m 3h
11 Let u= 1/5. In initial configuration (shown), the velocities are zero. Find the
frictional force with the ground during the motion while the two bodies are in contact.
Let u= 1/5. In initial configuration (shown), the velocities are zero. Find the
velocities (direction and magnitude) of U and W at the instant when they separate (i.e., when
the point C of U coincides with point D of W). Use work-energy principle.
Transcribed Image Text:11 Let u= 1/5. In initial configuration (shown), the velocities are zero. Find the frictional force with the ground during the motion while the two bodies are in contact. Let u= 1/5. In initial configuration (shown), the velocities are zero. Find the velocities (direction and magnitude) of U and W at the instant when they separate (i.e., when the point C of U coincides with point D of W). Use work-energy principle.
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