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GATE Prev Year : Vibrations Test-8
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Question 1
In a spring, if mass is energy stored, then:
Question 2
The rotor shaft of a large electric motor supported between short bearings at both the ends shows a deflection of 1.8 mm in the middle of the rotor. Assuming the rotor to be perfectly balanced and supported at knife edges at both the ends, the likely critical speed (in rpm) of the shaft is
Question 3
The figure below shows a planar mechanism with single degree of freedom. The instantaneous centre 24 for the given configuration is located at a position 
Question 4
A mass M, of 20 kg is attached to the free end of a steel cantilever beam of length 1000 mm having a cross-section of 25 ×25 mm. Assume the mass of the cantilever to be negligible and E steel = 200GPa . If the lateral vibration of this system is critically damped using a viscous damper, the damping constant of the damper is
Question 5
A uniform rigid rod of mass m = 1 kg and length L = 1 m is hinged at its centre and laterally supported at one end by a spring of spring constant k = 300 N/m. The natural frequency ωn in rad/s is
Question 6
A rod of mass 4Kg oscillates 24 times in a minute when suspended. What will be the moment of inertia at centre of gravity located about 15 cm from support point?
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