Explanation Consider the rod AB . The rod AB rotates initially with angular velocity of ω 1 . Therefore some initial momentum is acting on the rod AB . Sketch the free body diagram of the rod AB as shown in Figure (1). Here, m A B is the mass of the rod, v ¯ A B is the initial velocity of rod AB , and I ¯ is the mass moment of inertia. Refer Figure (1). List the momentum and couple of moment acting on the slender rod AB . m ( v ¯ A B ) 1 is the initial momentum acting on the midpoint of the rod AB . I ¯ ω 1 is the initial couple produced on the rod AB . Sketch the impulses acting on the rod AB as shown in Figure (2). Here, Δ t is the time interval. List the magnitude of impulses acting on the slender rod AB . A Δ t is the impulsive reaction acting at point A in upward direction. F Δ t is the impulsive reaction at point B in upward direction. Sketch the free body diagram of the rod AB with final momentum as shown in Figure (3). Here, ( v ¯ A B ) 2 is the final velocity of rod AB , L is the length of the rod, and ( ω A B ) 2 is the final angular velocity of the rod AB . List the couple and momentum acting on the rod AB . m ( v ¯ A B ) 2 is the final momentum due to velocity acting midpoint of the rod AB downward. I ¯ ( ω A B ) 2 is the final couple at center of rod AB . Consider the conservation of momentum principle. Syst Momenta 1 + Syst Ext Imp 1y2 = Syst Momenta 2 Sketch the combined impulse and momentum of rod AB as shown in Figure (4)

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Author: BEER

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Chapter 17.3, Problem 17.6IMD

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Sketch the impulse-momentum diagrams that are needed to determine the angular velocity of each rod immediately after the impact.

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Chapter 17.3, Problem 17.5IMD

Chapter 17.3, Problem 17.96P

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Chapter 17 Solutions

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Sketch the impulse-momentum diagrams that are needed to determine the angular velocity of each rod immediately after the impact .

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Sketch the impulse-momentum diagrams that are needed to determine the angular velocity of each rod immediately after the impact.

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