The engine of the helicopter is delivering 600 hp to the rotor shaft when the blade is rotating at 1200 rpm. Determine to the nearest 1/8 in the diameter of the shaft is the allowable shear stress is 10.5 ksi and the vibration limits the angle of twist of the shaft to 0.05 rad. The shaft is 2 ft long and made from steel.

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Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.