A cable is attached to a 2.20 kg block A, is looped over a fixed peg at C, and is attached to plate B.(Figure 1) The coefficient of static friction between the plate and the block is μ = 0.180, the coefficient of static friction between the plate and the inclined plane is μ = 0.380, and the coefficient of static friction between the cable and the peg is μ = 0.450. If the plane's angle is 30.0 degrees, what is the maximum mass that plate B can have such that it does not slide down the plane?
A cable is attached to a 2.20 kg block A, is looped over a fixed peg at C, and is attached to plate B.(Figure 1) The coefficient of static friction between the plate and the block is μ = 0.180, the coefficient of static friction between the plate and the inclined plane is μ = 0.380, and the coefficient of static friction between the cable and the peg is μ = 0.450. If the plane's angle is 30.0 degrees, what is the maximum mass that plate B can have such that it does not slide down the plane?
Chapter2: Loads On Structures
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Problem 1P
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A cable is attached to a 2.20 kg block A, is looped over a fixed peg at C, and is attached to plate B.(Figure 1) The coefficient of static friction between the plate and the block is μA= 0.180, the coefficient of static friction between the plate and the inclined plane is μB = 0.380, and the coefficient of static friction between the cable and the peg is μC= 0.450. If the plane's angle is 30.0 degrees, what is the maximum mass that plate B can have such that it does not slide down the plane?
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Learning Goal:
To be able to analyze the equilibrium of systems subjected to
frictional forces at belts and surfaces.
0
When engineers design belt drives and band brakes, they
engineer them to withstand the frictional forces that develop
between the belts or bands and their contacting surfaces.
These frictional forces lead to tensions on each side of the
contacting surfaces that are unequal; the segment aligning with
the motion of the belt or band has a greater tension.
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A cable is attached to a 2.20 kg block A, is looped over a fixed peg at C, and is attached to plate B.(Figure 1) The coefficient of static friction between the
plate and the block is μ = 0.180, the coefficient of static friction between the plate and the inclined plane is μ = 0.380, and the coefficient of static
friction between the cable and the peg is uc = 0.450. If the plane's angle is 30.0 degrees, what is the maximum mass that plate B can have such that it
does not slide down the plane?
Express your answer numerically in kilograms to three significant figures.
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