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

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Chapter1: Units, Trigonometry. And Vectors
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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.
Transcribed Image Text: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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