A frictionless oscillator is composed of a 350 N/m spring and a block of mass m....

A frictionless oscillator is composed of a 350 N/m spring and a block of mass m. It is set into motion such that at time t = 0, the block is at equilibrium (x 0 = 0) and is moving in the positive x-direction at 16 cm/s. It oscillates at angular frequency ω = 4.4 s − 1.

a) Determine the mass of the block.

b) Determine the energy of the oscillation.

c)Determine the amplitude of the oscillation.

d) Determine the phase constant. You may use either the sine or cosine form; indicate your choice clearly.

e) Determine the speed of the block when it is 1.2 cm from equilibrium.

Solutions

Expert Solution

using angular Frequency, mass is calculated.

Energy is calculated using 1/2(m×v×v)

Using energy conservation, amplitude is calculated.

Phase is calculated using sine function, since at t=0,x=0, as it is the property of sine Function.

Speed at given x is calculated using v=w×sqrt(A2 - x^2)

genius_generous answered 1 year ago

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