TEST_Rot. Dyn. & Osc.

Three uniform rods each of mass 'M' and length 'L' are placed along the three axes of a cartesian co-ordinate system with one end of each rod at the origin. The moment of inertia of the system about the Z - axis is __________

• 50 m

• 100 m

• 150 m

• 200 m

The expression for the maximum safety speed of a vehicle on a banked curved road is ________________

A mass 'm' attached to a spring oscillates every 2 seconds. If the mass is increased by 2 kg then the time period increases by 1 second. The initial mass is _________

• 1.6 kg

• 2.4 kg

• 3.2 kg

• 1.4 kg

The formula for the moment of inertia of a solid sphere about an axis passing through its centre is____________________

The restoring force acting on a particle executing linear SHM is _________

• maximum at the mean position

• maximum at the extreme position

• constant throughout the motion of the particle

• zero midway between the mean and the extreme position

• 16 m/s

  1.571 s

• 14 m/s

  1.794 s

• 6 m/s

  1.954 s

• 4 m/s

  2 s

Define linear SHM

A particle performing linear SHM with period 6 second is at the positive extreme position at t = 0. The particle is found to be a t a distance of 3 cm from this position at t = 7 s, before reaching the mean position. The amplitude of SHM is _________