The 20-kg cylinder A and 50-kg cylinder B are connected

Chapter 8, Problem 8-87

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QUESTION:

The 20-kg cylinder A and 50-kg cylinder B are connected together using a rope that passes around a rough peg two and a half turns. If the cylinders are on the verge of moving, determine the coefficient of static friction between the rope and the peg.

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QUESTION:

The 20-kg cylinder A and 50-kg cylinder B are connected together using a rope that passes around a rough peg two and a half turns. If the cylinders are on the verge of moving, determine the coefficient of static friction between the rope and the peg.

ANSWER:


The coefficient of static friction between the rope and the peg can be determined using the following equation:

? = (Fmax / (mA + mB)) - (g/(2?r)),

where Fmax is the maximum force that can be applied to the peg

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