   Chapter 13, Problem 24P

Chapter
Section
Textbook Problem

The period of motion of an object-spring system is T = 0.528 s when an object of mass m = 238 g is attached to the spring. Find (a) the frequency of motion in hertz and (b) the force constant of the spring. (c) If the total energy of the oscillating motion is 0.234 J, find the amplitude of the oscillations.

a)

To determine
The frequency of the object-spring system.

Explanation

Given info: The period of motion T=0.528s . Mass of the object m=238g .

Explanation:

The oscillation frequency f is the number of complete cycles or vibrations per unit time.

It is the reciprocal of the period.

f=1T

Here,

f is the oscillation frequency

T is the period of oscillation

Substituting T=0

b)

To determine
The force constant of the spring.

c)

To determine
The amplitude of the oscillation.

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