A mass of 50 g is attached to a spring and undergoes simple harmonic motion. ts maximum acceleration is 15 m/s^2 and its maximum speed is 3.5 m/s. Determine:

Question

A mass of 50 g is attached to a spring and undergoes simple harmonic motion. ts maximum acceleration is

15 m/s^2 and its maximum speed is 3.5 m/s. Determine:

a) Angular frequency

b)Spring constant

c) Amplitude

Answer 1

Hi there!

Hope this helps!

a) anguler frequency = a_max/v_max = 15/3.5 = 4.29

b) spring constant = (angular_frequency)^2 * m = 4.29^2 * .05kg = 0.92

c) amplitude = v_max/(angular_frequency) = 0.82

Make sure to figure out the units!

Cheers!

Jeff