Question

4.10 Sliding Rope A uniform rope of total length L = 2 m sits on a table. A portion of the rope hangs off of the edge of the table. You can treat the edge of the table where the rope turns the corner as an ideal, massless, frictionless pulley. Also, do not concern yourself with any bending stress in the rope. The coefficient of static friction between the rope and the table is ?s = 0.5 and the coefficient of kinetic friction is ?k = 0.4. For what length of rope hanging from the table will the rope slide off of the table under gravity? HINT: this first part is not an energy question. Go back to forces. 0.66 10b How fast, in m/s, will the rope be moving when it completely falls off of the top surface of the table?

          4.10 Sliding Rope

A uniform rope of total length L = 2 m sits on a table. A portion of the rope hangs off of the edge of the table. You can treat the edge of the table where the rope turns the corner as an ideal, massless, frictionless pulley. Also, do not concern yourself with any bending stress in the rope. The coefficient of static friction between the rope and the table is ?s = 0.5 and the coefficient of kinetic friction is ?k = 0.4.

For what length of rope hanging from the table will the rope slide off of the table under gravity? HINT: this first part is not an energy question. Go back to forces.

0.66

10b How fast, in m/s, will the rope be moving when it completely falls off of the top surface of the table?

4.10 Sliding Rope

A uniform rope of total length L = 2 m sits on a table. A portion of the rope hangs off of the edge of the table. You can treat the edge of the table where the rope turns the corner as an ideal, massless, frictionless pulley. Also, do not concern yourself with any bending stress in the rope. The coefficient of static friction between the rope and the table is ?s = 0.5 and the coefficient of kinetic friction is ?k = 0.4.

For what length of rope hanging from the table will the rope slide off of the table under gravity? HINT: this first part is not an energy question. Go back to forces.

0.66

10b How fast, in m/s, will the rope be moving when it completely falls off of the top surface of the table?

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