Question

A mass on a spring has an angular frequency of 2.5rad/s. The spring constant is 27.21N/m
and the system's kinetic energy is 2.92J when t=1.56s. What is the amplitude of oscillation?
Assume phase(∅ =0 and that the system reaches its maximum displacement at t=0

Answer 1

Answer:

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Explanation:

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Answer 2

Answer:

The required amplitude  = 0.46 m

Explanation:

In simple harmonic motion

It is given that spring constant, k = 27.21 N/m

and system's kinetic energy or Etotal = 2.92 J

according to the formula :

Etotal = 1/2 x k x $A^{2}$

or, 2.92 = 1/2 x 27.21 x $A^{2}$

or, A = 0.46 m

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