One end of an ideal spring is fixed to a wall at origin O and the axis of spring is…

Physics · JEE Advanced · NTA ExamsOscillations and Waves


One end of an ideal spring is fixed to a wall at origin O and the axis of spring is parallel to x-axis. A block of mass m = 1kg is attached to free end of the spring and it is performing SHM. Equation of position of the block in co-ordinate system shown in figure is x = 10 + 3sin (10t), where t is in second and x in cm.
Another block of mass M = 3 kg, moving towards the origin with velocity 30 cm/s collides with the block performing SHM at t = 0 and gets stuck to it.                  
  
New equation for position of the combined body is
  1. (10 + 3 sin 5t) cm
  2. (10 – 3 sin 5t) cm
  3. (10 + 3 cos 10 t) cm
  4. (10 – 3 cos 10t) cm

Answer

(B) (10 – 3 sin 5t) cm

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