A machine of mass 75 kg is mounted on springs of stiffness 1200 kN/m
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A machine of mass 75 kg is mounted on springs of stiffness 1200 kN/m

A machine of mass 75 kg is mounted on springs of stiffness 1200 kN/m and with an assumed damping factor of 0.2. A piston within the machine of mass 2 kg has a reciprocating motion with a stroke of 80 mm and a speed of 3000 cycles/min. Assuming the motion to be simple harmonic,find :

1. the amplitude of motion of the machine,

2. its phase angle with respect to the exciting force,

3. the force transmitted to the foundation, and

4. the phase angle of transmitted force with respect to the exciting force.

Hint
Accounts & Finance"To find the amplitude from a simple harmonic motion equation, first identify the coefficient of the cosine function in the simple harmonic motion equation. Also, the simple harmonic motion is basically given by the following equation:                      x(t) = Acos (ωt)where, |A| = the amplitude of the period...

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