Explanation Given: Given that a person on a swing moves so that the support rods are horizontal at the turning points (as shown in below figure) Formula used: According to the law of conservation of momentum, when the two objects collide in an isolated system, the total momentum before and after the collision is same. According to the law of conservation of energy, the total energy of an isolated system remains same. In other words, it means that energy can neither be created nor be destroyed. Calculation: Initial potential energy is given as P E = m g L Where L = Length of the rod m = mass of the rod Also, final kinetic energy at the bottom of the swing is calculated as K E = 1 2 m v 2 According to energy conservation, we have K E = P E 1 2 m v 2 = m g L v 2

8th Edition

ISBN: 9781305959422

Author: Ostdiek, Vern J.

Publisher: Cengage Learning,

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Chapter 3, Problem 4C

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That the centripetal acceleration of the person at the low point of the arc is 2g regardless of the length of the rod. This means that the force on the rods at the low point is equal to three times the person’s weight.

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That the centripetal acceleration of the person at the low point of the arc is 2 g regardless of the length of the rod. This means that the force on the rods at the low point is equal to three times the person’s weight.

Solution Summary: The author explains that the centripetal acceleration of a person at the low point of the arc is 2g regardless of its length, and the force on the rods is equal to three times the person’s

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To show:

That the centripetal acceleration of the person at the low point of the arc is 2g regardless of the length of the rod. This means that the force on the rods at the low point is equal to three times the person’s weight.

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Chapter 3 Solutions

That the centripetal acceleration of the person at the low point of the arc is 2 g regardless of the length of the rod. This means that the force on the rods at the low point is equal to three times the person’s weight.

Solution Summary: The author explains that the centripetal acceleration of a person at the low point of the arc is 2g regardless of its length, and the force on the rods is equal to three times the person’s

Concept explainers

Videos

To show: That the centripetal acceleration of the person at the low point of the arc is 2g regardless of the length of the rod. This means that the force on the rods at the low point is equal to three times the person’s weight.

Want to see the full answer?

Chapter 3 Solutions

To show:

That the centripetal acceleration of the person at the low point of the arc is 2g regardless of the length of the rod. This means that the force on the rods at the low point is equal to three times the person’s weight.