Question

A 2.99-kg metal ball on a horizontal frictionless surface is attached to an ideal massless spring whose spring constant is 203 N/m. The ball is pulled from its equilibrium position at x = 0.00 m to a displacement x = 0.064 m and is released from rest. The ball then executes simple harmonic motion along the horizontal x-axis. When the displacement is 0.2 cm, what is the frequency of the oscillation (in unit of Hz)?

Answer 1

The frequency of the oscillation is

1.3Hz

Step-by-step explanation:

This problem bothers simple harmonic motion of a spring with an attached weight.

Given data

Mass of attached ball m= 2.99kg

Spring constant k = 203N/m

We know that the expression for the period T of the motion is

T= 2π√m/k

T= 2*3.142√2.99/203

T= 6.284√0.0147

T= 6.284*0.1212

T= 0.76s

Also the expression for frequency of oscillation is

f= 1/T

f= 1/0.76

f=1.3Hz