Classical Mechanics Answers

Calculate the time period of an object having mass moment of inertia = 100 Kg-m^2, mass of 10 Kg and the centre of gravity lies at a point 20 cm below the point of suspension.
1 : 14.1 s
2 : 15.2 s
3 : 13.3 s
4 : 12.9 s

A grandfather clock is designed so that one swing of the pendulum in either direction takes 1.00 s. What is the length of the pendulum?
1 : 0.993 m
2 : 0.248 m
3 : 0.062 m
4 : 0.100 m
5 : None of the above

If a simple pendulum oscillates with amplitude of 50mm and time period of 2s, then its maximum velocity is..
1 : 0.10 m/s
2 : 0.16 m/s
3 : 0.24 m/s
4 : 0.32 m/s

A child swinging on a swing stands up. Then the time period of the swing will..?
1 : Increase
2 : Decrease
3 : Remain the same
4 : Increase, if the child is tall and decreases if the child is short

A simple harmonic oscillator has an amplitude of 3.50 cm and a maximum speed of 26.0 cm/s. What is its speed when the displacement is 1.75 cm?
1 : 12.0 cm/s
2 : 22.5 cm/s
3 : 14.2 cm/s
4 : 15.0 cm/s
5 : 17.0 cm/s

A mass M is attached to an ideal massless spring. When this system is set in motion with amplitude A, it has a period T. What is the period if the amplitude of the motion is increased to 2A
1 : 2T
2 : T/2
3 : T
4 : 4T

Which way does the restoring force of a spring oscillator point when mass is at the equilibrium position?
1 : There is no restoring force when the object is at equilibrium
2 : In the direction of the object's motion
3 : Opposite the direction of the object's motion
4 : In the direction of the object's momentum

For a particle executing simple harmonic motion, which of the following statements is not correct?
1 : Total energy is always directed toward a fixed point
2 : Restoring force is always directed towards a fixed point
3 : Restoring force is maximum at the extreme positions
4 : Acceleration of the particle is maximum at the equilibrium position

A mass tied to the end of a 1.0-m-long string is swinging back and forth. During each swing, it moves 4 cm from its lowest point to the right, then 4 cm to the left. One complete swing takes about 2 s. If the amplitude of motion is doubled, so the mass swings 8 cm to one side and then the other, the period of the motion will be
1 : 2 s
2 : 4 s
3 : 6 s
4 : 8 s

In simple harmonic motion, the speed is greatest at that point in the cycle when
1 : the magnitude of the acceleration is a maximum.
2 : the displacement is a maximum.
3 : the magnitude of the acceleration is a minimum
4 : the potential energy is a maximum.
5 : the kinetic energy is a minimum