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A pendulum, with a mass of 6 kg block A is given in Figure 1. Pendulum is swinging through vertical position in the clockwise direction. The angular velocity and the angular accel- eration of the block A is wa = 8 rad/s, and a, = 0.2 rad/s, respectively. At the given instant, a 100 gram metal ball (shown as B) with a speed of v = 250 m/s hits the block A with an angle of B = 15°. The metal ball becomes embedded in the block A. You can neglect the mass of the string that holds the pendulum A. a) What is the angular velocity wy of the pendulum immediately after the impact? b) What is the maximum angular deflection 6 of the pendulum after the impact? c) Assume another case for the system at the same time instant given in Figure 1. This time the metal ball hits the block A with the same speed (v = 250 m/s), but with an angle of ß = 0°. However, this time, the coefficient of restitution is e = 0.6 (so they do not become embedded). Determine the velocities of the metal ball and the block just after the collision, and calculate the loss of energy during the collision.

A pendulum, with a mass of 6 kg block A is given in Figure 1. Pendulum is swinging through vertical position in the clockwise direction. The angular velocity and the angular accel- eration of the block A is wa = 8 rad/s, and a, = 0.2 rad/s, respectively. At the given instant, a 100 gram metal ball (shown as B) with a speed of v = 250 m/s hits the block A with an angle of B = 15°. The metal ball becomes embedded in the block A. You can neglect the mass of the string that holds the pendulum A. a) What is the angular velocity wy of the pendulum immediately after the impact? b) What is the maximum angular deflection 6 of the pendulum after the impact? c) Assume another case for the system at the same time instant given in Figure 1. This time the metal ball hits the block A with the same speed (v = 250 m/s), but with an angle of ß = 0°. However, this time, the coefficient of restitution is e = 0.6 (so they do not become embedded). Determine the velocities of the metal ball and the block just after the collision, and calculate the loss of energy during the collision.

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A pendulum, with a mass of 6 kg block A is given in Figure 1. Pendulum is swinging through vertical position in the clockwise direction. The angular velocity and the angular accel- eration of the block A is wa = 8 rad/s, and aq = 0.2 rad/s, respectively. At the given instant, 250 m/s hits the block A with an a 100 gram metal ball (shown as B) with a speed of v = angle of B = 15°. The metal ball becomes embedded in the block A. You can neglect the mass of the string that holds the pendulum A. a) What is the angular velocity w2 of the pendulum immediately after the impact? b) What is the maximum angular deflection 6 of the pendulum after the impact? c) Assume another case for the system at the same time instant given in Figure 1. This time the metal ball hits the block A with the same speed (v = 250 m/s), but with an angle of ß = 0°. However, this time, the coefficient of restitution is e = Determine the velocities of the metal ball and the block just after the collision, and calculate the 0.6 (so they do not become embedded). loss of energy during the collision.
Transcribed Image Text:A pendulum, with a mass of 6 kg block A is given in Figure 1. Pendulum is swinging through vertical position in the clockwise direction. The angular velocity and the angular accel- eration of the block A is wa = 8 rad/s, and aq = 0.2 rad/s, respectively. At the given instant, 250 m/s hits the block A with an a 100 gram metal ball (shown as B) with a speed of v = angle of B = 15°. The metal ball becomes embedded in the block A. You can neglect the mass of the string that holds the pendulum A. a) What is the angular velocity w2 of the pendulum immediately after the impact? b) What is the maximum angular deflection 6 of the pendulum after the impact? c) Assume another case for the system at the same time instant given in Figure 1. This time the metal ball hits the block A with the same speed (v = 250 m/s), but with an angle of ß = 0°. However, this time, the coefficient of restitution is e = Determine the velocities of the metal ball and the block just after the collision, and calculate the 0.6 (so they do not become embedded). loss of energy during the collision.
y B B A Figure 1: Pendulum 0.75 m
Transcribed Image Text:y B B A Figure 1: Pendulum 0.75 m
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