Q. A uniform thin disk of mass 1 kg and radius 0.1 m is kept on a surface as shown in the figure. A spring of stiffness π1 = 400 N/m is connected to the disk center A and another spring of stiffness π2 = 100 N/m is connected at point B just above point A on the circumference of the disk. Initially, both the springs are unstretched. Assume pure rolling of the disk. For small disturbance from theΒ Β equilibrium, the naturalΒ Β frequency of vibration of theΒ Β system isΒ Β Β rad/s (round off to one decimal place).
Sol:
As per given date
Disc mass,
m = 1 kg
Radius, r = 0.1 m
torque equation about point ‘o’
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