Question

Practice Problem 9.7 Now let's use conservation of energy to calculate the kinetic energy of a rotating cylinder. Specifically, we will employ the work–energy theorem to relate the work done on the cylinder to the change in its rotational kinetic energy. A light, flexible, nonstretching cable is wrapped several times around a winch drum—a solid cylinder with mass 50 kg and diameter 0.20 m that rotates about a stationary horizontal axis turning on frictionless bearings (Figure 1). The free end of the cable is pulled with a constant force of magnitude 11 N for a distance of 2.0 m . It unwinds without slipping, turning the cylinder as it does so. If the cylinder is initially at rest, find its final angular velocity ? and the final speed v of the cable. Figure F 2.0 m 50 kg D Part A - Practice Problem: Suppose we replace the solid cylinder with a thin-walled cylinder having the same mass and radius. How does the final speed of the cable differ from our result for the solid cylinder? Express your answer to two significant figures and include appropriate units. 0.13 m/s

          Practice Problem 9.7

Now let's use conservation of energy to calculate the kinetic energy of a rotating cylinder. Specifically, we will employ the work–energy theorem to relate the work done on the cylinder to the change in its rotational kinetic energy. A light, flexible, nonstretching cable is wrapped several times around a winch drum—a solid cylinder with mass 50 kg and diameter 0.20 m that rotates about a stationary horizontal axis turning on frictionless bearings (Figure 1). The free end of the cable is pulled with a constant force of magnitude 11 N for a distance of 2.0 m . It unwinds without slipping, turning the cylinder as it does so. If the cylinder is initially at rest, find its final angular velocity ? and the final speed v of the cable.

Figure
F
2.0 m
50 kg
D

Part A - Practice Problem:
Suppose we replace the solid cylinder with a thin-walled cylinder having the same mass and radius. How does the final speed of the cable differ from our result for the solid cylinder?
Express your answer to two significant figures and include appropriate units.
0.13 m/s

Practice Problem 9.7

Now let's use conservation of energy to calculate the kinetic energy of a rotating cylinder. Specifically, we will employ the work–energy theorem to relate the work done on the cylinder to the change in its rotational kinetic energy. A light, flexible, nonstretching cable is wrapped several times around a winch drum—a solid cylinder with mass 50 kg and diameter 0.20 m that rotates about a stationary horizontal axis turning on frictionless bearings (Figure 1). The free end of the cable is pulled with a constant force of magnitude 11 N for a distance of 2.0 m . It unwinds without slipping, turning the cylinder as it does so. If the cylinder is initially at rest, find its final angular velocity ? and the final speed v of the cable.

Figure
F
2.0 m
50 kg
D

Part A - Practice Problem:
Suppose we replace the solid cylinder with a thin-walled cylinder having the same mass and radius. How does the final speed of the cable differ from our result for the solid cylinder?
Express your answer to two significant figures and include appropriate units.
0.13 m/s

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