A wooden plank of length L and mass M is placed against a wall and connected to a rope at an angle 0 that holds it in place. This is depicted in the figure below. The rope can handle a maximum tension of T before it breaks. A sign with mass m is attached to the plank at x, which is 2/3 L distance from the wall. L= 2.00 m M= 0.500 kg 0 = 30.0° T= 1.50 × 102 N a) Draw all the forces on a diagram. b) What is the maximum mass that can be supported? c) What is the coefficient of static friction between the wall and the plank?

Physics for Scientists and Engineers with Modern Physics
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Author:Raymond A. Serway, John W. Jewett
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Chapter12: Static Equilibrium And Elasticity
Section: Chapter Questions
Problem 14P: A 10.0-kg monkey climbs a uniform ladder with weight 1.20 102 N and length L = 3.00 m as shown in...
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A wooden plank of length L and mass M is placed against a wall and connected to a rope at an angle 0 that
holds it in place. This is depicted in the figure below.
The
rope
can handle a maximum tension of T before it breaks.
A sign with mass m is attached to the plank at x, which is 2/3 L distance from the wall.
L= 2.00 m
М-D0.500 kg
0 = 30.0°
T= 1.50 × 102 N
a) Draw all the forces on a diagram.
b) What is the maximum mass that can be supported?
c) What is the coefficient of static friction between the wall and the plank?
Transcribed Image Text:A wooden plank of length L and mass M is placed against a wall and connected to a rope at an angle 0 that holds it in place. This is depicted in the figure below. The rope can handle a maximum tension of T before it breaks. A sign with mass m is attached to the plank at x, which is 2/3 L distance from the wall. L= 2.00 m М-D0.500 kg 0 = 30.0° T= 1.50 × 102 N a) Draw all the forces on a diagram. b) What is the maximum mass that can be supported? c) What is the coefficient of static friction between the wall and the plank?
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