Question

A beam of mass M = 5.0 kg and length L = 0.35 m has one end against a wall and is held stationary in a horizontal position by two ropes attached to the other end, as shown. Each rope makes an angle ? = 30° with the beam. The coefficient of static friction between the wall and the beam is ?s = 0.45. ? ? L a) Draw a free-body diagram for the beam. b) If the tension in the lower rope is T2 = 11 N, find the normal force. c) What is the minimum tension in the lower rope that would hold the beam in place.

          A beam of mass M = 5.0 kg and length L = 0.35 m has one end against a wall and is held stationary in a horizontal position by two ropes attached to the other end, as shown. Each rope makes an angle ? = 30° with the beam. The coefficient of static friction between the wall and the beam is ?s = 0.45.
?
?
L
a) Draw a free-body diagram for the beam.
b) If the tension in the lower rope is T2 = 11 N, find the normal force.
c) What is the minimum tension in the lower rope that would hold the beam in place.

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A beam of mass M = 5.0 kg and length L = 0.35 m has one end against a wall and is held stationary in a horizontal position by two ropes attached to the other end, as shown. Each rope makes an angle ? = 30° with the beam. The coefficient of static friction between the wall and the beam is ?s = 0.45.
?
?
L
a) Draw a free-body diagram for the beam.
b) If the tension in the lower rope is T2 = 11 N, find the normal force.
c) What is the minimum tension in the lower rope that would hold the beam in place.

Added by Heather D.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Timothy James

08/05/2023

Step 1

Since the beam is stationary, the net force and net torque acting on it must be zero. First, let's consider the net force in the vertical direction: $$N - T_1\sin(30^\circ) - T_2\sin(30^\circ) - Mg = 0$$ Now, let's consider the net force in the horizontal Show more…

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A beam of mass M = 5.0 kg and length L = 0.35 m has one end against a wall and is held stationary in a horizontal position by two ropes attached to the other end, as shown. Each rope makes an angle θ = 30° with the beam. The coefficient of static friction between the wall and the beam is μs = 0.45. a) Draw a free-body diagram for the beam. b) If the tension in the lower rope is T2 = 11 N, find the normal force. c) What is the minimum tension in the lower rope that would hold the beam in place.

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