A ball is fastened by a light inextensible cord 5m long to a point 3m above the level of a smooth horizontal table, and is than caused to rotate in a horizontal circle. Determine the following: (a) The angular velocity of the ball in rpm so as to just keep clear of the surface of the table. (b) If the mass of the ball is 6kg determine the tension in the string when it rotates at 17.3 rpm.

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A: Determine the tangential force ( N ) created at the rim of the wheel.

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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.