A cantilever shaft having 50 mm diameter and length of 300 mm has a disc of mass 100 kg at its free end. The Young’s modulus for the shaft material is 200 GN/m2. Calculate the natural longitudinal frequency in Hz.

Longitudinal and Transverse Vibrations topics include: Vibratory motion and its types, damped vibrations, damping factor or ratio, dynamic magnifier, free longitudinal and transverse vibrations. The difference between longitudinal and transverse vibrations is the direction in which the waves shake.  In a longitudinal wave, the particles move parallel to the wave direction. In a transverse wave, the particles move perpendicular to the wave direction.  Longitudinal waves are also known as compression waves.  Examples of transverse waves include: Vibrations on a string Ripples on the... Show more

Longitudinal and Transverse Vibrations topics include: Vibratory motion and its types, damped vibrations, damping factor or ratio, dynamic magnifier, free longitudinal and transverse vibrations.

The difference between longitudinal and transverse vibrations is the direction in which the waves shake. 

In a longitudinal wave, the particles move parallel to the wave direction. In a transverse wave, the particles move perpendicular to the wave direction. 
Longitudinal waves are also known as compression waves. 

Examples of transverse waves include:
Vibrations on a string
Ripples on the surface of water 

In a wave, the material on which the wave is traveling is moving. However, the material itself does not move along with the wave. 

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