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Chapter 4: Q14Q (page 165)

For a vertical spring-mass oscillator that is moving up and down, which of the following statements are true? (More than one statement may be true.) (a) At the lowest point in the oscillation, the momentum is zero. (b) At the lowest point in the oscillation, the rate of change of the momentum is zero. (c) At the lowest point in the oscillation, mg=kss (d) At the lowest point in the oscillation, mg>k5s (e) At the lowest point in the oscillation, mg<k5s.

Short Answer

Expert verified

A vertical spring-mass oscillator that is moving up and down is

option a)at the lowest point in the oscillation, the momentum is zero, and e) at the lowest point in the oscillation,mg<kss.

Step by step solution

01

Spring-mass system

When a mass hung on a spring is shifted, it oscillates. The quantity of mass and the stiffness of the spring determine the oscillation period. By data logging the output from a motion sensor, this experiment allows the period, displacement, velocity, and acceleration to be evaluated.

02

Vertical spring-mass oscillator that is moving down

Since the vertical spring-mass system is to perform a straight-line motion path, as a result, the velocity will reach zero at the lowest point in its path.

The momentum of the spring-mass system is given by,

P=mvV=0P=0

Where P is the momentum of spring, m is the mass of the block, and v is the velocity of the block.

Thus, the correct option is a) at the lowest point in the oscillation, the momentum becomes zero.

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Most popular questions from this chapter

An object of mass m is attached by two stretched springs (stiffnessKs and relaxed lengthL0 ) to rigid walls, as shown in figure 4.60. The springs are initially stretched by an amount (L-L0). When the object is displaced to the right and released, it oscillates horizontally. Starting from the momentum principle, find a function of the displacement xof the object and the timet describes the oscillatory motion.

(a) What is the period of the motion?

(b) If L0 were shorter (so the springs are initially stretched more), would the period be larger, smaller, or the same?

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