Explanation Given information: The mass of each rod AB and BC is m. Velocity of the carriage is v o . Calculation: Draw the free body diagram and kinematics of the L-shaped rigid body. K i n e m a t i c s : The velocity of the rod BC: v ¯ B C = [ v 0 → ] + [ L 2 ω ← ] v ¯ B C = [ v 0 − L 2 ω ] Velocity of the corner B: v B = [ v 0 → ] + [ L ω ← ] v B = [ v 0 − L ω ] The horizontal and vertical components of velocity of the rod AB: ( v ¯ A B ) x = v B = [ v 0 − L ω ] → ( v ¯ A B ) y = ( v B ) y + L 2 ω ↑ = 0 + L 2 ω = L 2 ω M o m e n t s o f i n e r t i a o f e a c h r o d . I ¯ = 1 12 m L 2 Now applying the principle of impulse and momentum: To determine (b) The velocity of the corner B.

Vector Mechanics for Engineers: Dynamics

11th Edition

ISBN: 9780077687342

Author: Ferdinand P. Beer, E. Russell Johnston Jr., Phillip J. Cornwell, Brian Self

Publisher: McGraw-Hill Education

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Chapter 17.3, Problem 17.103P

To determine

(a)

The angular velocity of the body immediately after the impact.

To determine

(b)

The velocity of the corner B.

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Chapter 17.3, Problem 17.102P

Chapter 17.3, Problem 17.104P

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(a) The angular velocity of the body immediately after the impact.

Solution Summary: The author explains the angular velocity of the body immediately after the impact. The mass of each rod AB and BC is m.