Draw the impulse-momentum diagram and line of action for e.  Solve for the following: 1. Determine the angular velocity of the slender bar (B) immediately after impact. angular velocity of A = 57.1 rad/s since there is no external torque 2. Determine the linear velocities of both the sphere (A) and the slender bar (B) immediately after impact at their centroids ANSWERS I GOT BUT ARE INCORRECT: (the unit is given) angular velocity of the slender bar (B) immediately after impact: 8.089 rad/s , 18.49 rad/s linear velocity of the sphere (A) immediately after impact at the centroid: 0.485 rad/s^2, 0.16 rad/s^2, 2.11 rad/s^2 linear velocity of the slender bar (B) immediately after impact at the centroid: 0.485 rad/s^2, 0.49 rad/s^2, 2.21 rad/s^2

Refrigeration and Air Conditioning Technology (MindTap Course List)
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ISBN:9781305578296
Author:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Publisher:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Chapter29: Troubleshooting And Typical Operating Conditions For Commercial refrigeration
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Problem 16RQ
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Draw the impulse-momentum diagram and line of action for e. 

Solve for the following:

1. Determine the angular velocity of the slender bar (B) immediately after impact.

angular velocity of A = 57.1 rad/s since there is no external torque

2. Determine the linear velocities of both the sphere (A) and the slender bar (B) immediately after impact at their centroids

ANSWERS I GOT BUT ARE INCORRECT: (the unit is given)

  • angular velocity of the slender bar (B) immediately after impact: 8.089 rad/s , 18.49 rad/s
  • linear velocity of the sphere (A) immediately after impact at the centroid: 0.485 rad/s^2, 0.16 rad/s^2, 2.11 rad/s^2
  • linear velocity of the slender bar (B) immediately after impact at the centroid: 0.485 rad/s^2, 0.49 rad/s^2, 2.21 rad/s^2
L
B
V
A
Transcribed Image Text:L B V A
A bowling ball of mass m₁ = 3.00 kg and radius r = 50.0 mm is rolling without
sliding with an angular velocity of w = 57.1 rad/s and a linear velocity of
v = 2.85 m/s. It impacts a slender bar of mass m₂ = 1.00 kg and length
L = 0.12 m, which is initially at rest. The coefficient of restitution between the
sphere and the bar is e = 0.2. Before reaching the condition of rolling without
sliding, the sphere rolls with sliding to the left with an initial linear velocity of
vo= 4.00 m/s and a linear acceleration at the centroid of a = 2.45 m/s². The
coefficient of friction between the sphere and the floor is k = 0.250, and the
frictional force is f = 7.35 N.
Objectives
The objectives of this analysis are to:
1. Determine the angular velocity of both the sphere (A) and the slender bar
(B) immediately after impact.
2. Determine the linear velocities of both the sphere (A) and the slender bar
(B) immediately after impact at their centroids.
Transcribed Image Text:A bowling ball of mass m₁ = 3.00 kg and radius r = 50.0 mm is rolling without sliding with an angular velocity of w = 57.1 rad/s and a linear velocity of v = 2.85 m/s. It impacts a slender bar of mass m₂ = 1.00 kg and length L = 0.12 m, which is initially at rest. The coefficient of restitution between the sphere and the bar is e = 0.2. Before reaching the condition of rolling without sliding, the sphere rolls with sliding to the left with an initial linear velocity of vo= 4.00 m/s and a linear acceleration at the centroid of a = 2.45 m/s². The coefficient of friction between the sphere and the floor is k = 0.250, and the frictional force is f = 7.35 N. Objectives The objectives of this analysis are to: 1. Determine the angular velocity of both the sphere (A) and the slender bar (B) immediately after impact. 2. Determine the linear velocities of both the sphere (A) and the slender bar (B) immediately after impact at their centroids.
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