A uniform beam of length ? and mass ? is inclined at an angle ? to the horizontal. Itsupper end is connected to a wall by a rope, and its lower end rests on a rough, horizontal surface. Assume the angle is such that the static friction force between the beam and the surface is at itsmaximum value. Determine what statement is true. There may be more than one answer.C.0a.The static frictional force relative to the pivot point does not exert a torque on the beam.b. The torque produced by the gravitational force relative to the pivot point is equal toTG = -mgL sin 0 /2.Le.The torque produced by the tension force relative to the pivot point is equal toTT = TL sin0 where T is the magnitude of the tension force.d. If the angle were reduced from its present value, the magnitude of the tension force mustdecrease in order to restore static equilibrium.T/mg, where T is the magnitude of theThe coefficient of state friction must equal μstension force.

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uniform beam of length ? and mass ? is inclined at an angle ? to the horizontal. Its

Physics for Scientists and Engineers: Foundations and Connections

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ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter13: Rotation Ii: A Conservation Approach

Section: Chapter Questions

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Concept explainers

Rotational Equilibrium And Rotational Dynamics

In physics, the state of balance between the forces and the dynamics of motion is called the equilibrium state. The balance between various forces acting on a system in a rotational motion is called rotational equilibrium or rotational dynamics.

Equilibrium of Forces

The tension created on one body during push or pull is known as force.

Question

A uniform beam of length ? and mass ? is inclined at an angle ? to the horizontal. Its
upper end is connected to a wall by a rope, and its lower end rests on a rough, horizontal surface.

Assume the angle is such that the static friction force between the beam and the surface is at its
maximum value. Determine what statement is true. There may be more than one answer.
C.
0
a.
The static frictional force relative to the pivot point does not exert a torque on the beam.
b. The torque produced by the gravitational force relative to the pivot point is equal to
TG = -mgL sin 0 /2.
L
e.
The torque produced by the tension force relative to the pivot point is equal to
TT = TL sin0 where T is the magnitude of the tension force.
d. If the angle were reduced from its present value, the magnitude of the tension force must
decrease in order to restore static equilibrium.
T/mg, where T is the magnitude of the
The coefficient of state friction must equal μs
tension force.

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