Question

The device shown in the figure below consists of a thin rod of length ? = 23.1 cm and mass m = 1.20 kg with a solid sphere of diameter d = 10.0 cm and mass M = 2.00 kg attached to its top. The device is free to pivot about a frictionless axle through the bottom of the rod. The device is initially vertical and at rest when it starts to rotate clockwise. A thin rod of length ? and mass m is upright with a sphere of diameter d and mass M attached to the rod at the bottom of the sphere. A pivot is at the bottom of the rod and the rod-sphere system rotates in a clockwise direction. (a) After the combination rotates through 90 degrees, what is its rotational kinetic energy (in J)? (b) What is the angular speed (in rad/s) of the rod and sphere? (c) What is the linear speed (in m/s) of the center of mass of the sphere? (d) How does it compare with the speed had the sphere fallen freely through the same distance of 28.1 cm? (Express your answer as a percentage.) v_swing is v_fall by %.

          The device shown in the figure below consists of a thin rod of length ? = 23.1 cm and mass m = 1.20 kg with a solid sphere of diameter d = 10.0 cm and mass M = 2.00 kg attached to its top. The device is free to pivot about a frictionless axle through the bottom of the rod. The device is initially vertical and at rest when it starts to rotate clockwise.

A thin rod of length ? and mass m is upright with a sphere of diameter d and mass M attached to the rod at the bottom of the sphere. A pivot is at the bottom of the rod and the rod-sphere system rotates in a clockwise direction.

(a) After the combination rotates through 90 degrees, what is its rotational kinetic energy (in J)?

(b) What is the angular speed (in rad/s) of the rod and sphere?

(c) What is the linear speed (in m/s) of the center of mass of the sphere?

(d) How does it compare with the speed had the sphere fallen freely through the same distance of 28.1 cm? (Express your answer as a percentage.)

v_swing is v_fall by %.

The device shown in the figure below consists of a thin rod of length ? = 23.1 cm and mass m = 1.20 kg with a solid sphere of diameter d = 10.0 cm and mass M = 2.00 kg attached to its top. The device is free to pivot about a frictionless axle through the bottom of the rod. The device is initially vertical and at rest when it starts to rotate clockwise.

A thin rod of length ? and mass m is upright with a sphere of diameter d and mass M attached to the rod at the bottom of the sphere. A pivot is at the bottom of the rod and the rod-sphere system rotates in a clockwise direction.

(a) After the combination rotates through 90 degrees, what is its rotational kinetic energy (in J)?

(b) What is the angular speed (in rad/s) of the rod and sphere?

(c) What is the linear speed (in m/s) of the center of mass of the sphere?

(d) How does it compare with the speed had the sphere fallen freely through the same distance of 28.1 cm? (Express your answer as a percentage.)

vswing is vfall by %.

Added by Oscar L.

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