(a) Explanation Given information: The distance ( d ) is 9 inch. The velocity of the sphere A ( v A ) is (3.5 ft/s) j . The distance ( a ) is 16 inch. The velocity of the sphere C ( v C ) is (6.0 ft/s) i . Calculation: Draw the free body diagram of the system as shown in Figure (1). Express the linear momentum before break. L 0 = m v 0 + m v 0 + m v 0 = ( 3 m ) v 0 Here, linear momentum before break is L 0 , mass of each sphere is m , and velocity of the ring is v 0 . Substitute ( 1.3 ft / s ) i for v 0 . L 0 = ( 3 m ) ( 1.3 ft / s ) i = m ( 3.9 ft / s ) i (1) Express the linear momentum after break. L = ( m v A ) j − ( m v B ) j + ( m v C ) i Here, linear momentum after break is L , mass of each sphere is m , velocity of sphere A is v A , velocity of sphere B is v B , and velocity of sphere C is v C . After the ring breaks, A and B travel in the y direction and C in the x direction. Sphere A travels in the positive y axis direction and sphere B in the negative y axis (c) To determine The rate of rotation about G . (b) To determine The length of the strings.

11th Edition

ISBN: 9781259633133

Author: BEER

Publisher: MCG

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Chapter 14.2, Problem 14.56P

(a)

To determine

The initial velocity of the ring.

(c)

To determine

The rate of rotation about G.

(b)

To determine

The length of the strings.

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Chapter 14.2, Problem 14.55P

Chapter 14.3, Problem 14.57P

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