Determine the angular velocity of the flywheel in Problem which will produce an amplitude...

Determine the angular velocity of the flywheel in Problem which will produce an amplitude of vibration of 0.25 in.

Problem

The electric motor turns an eccentric flywheel which is equivalent to an unbalanced 0.25-lb weight located 10 in. from the axis of rotation. If the static deflection of the beam is 1 in. because of the weight of the motor, determine the angular velocity of the flywheel at which resonance will occur. The motor weighs 150 lb. Neglect the mass of the beam.