   Chapter 13, Problem 20P

Chapter
Section
Textbook Problem

A student stretches a spring, attaches a 1.00-kg mass to it, and releases the mass from rest on a frictionless surface. The resulting oscillation has a period of 0.500 s and an amplitude of 25.0 cm. Determine (a) the oscillation frequency, (b) the spring constant, and (c) the speed of the mass when it is half-way to the equilibrium position.

a)

To determine
The oscillation frequency of the oscillation.

Explanation

Given info: The spring is attached to a mass of 1.00kg . The period of the oscillation is 0.500s . The amplitude is 25cm .

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 0

b)

To determine
The spring constant of the spring.

c)

To determine
The speed of the mass when it is half way to the equilibrium position.

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