One end of an ideal spring is fixed to a wall at origin 'O' and axis of spring is parallel to x-axis. A block of mass m = kg 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+35 m (10 t) Here 't' is in second and 'x' in cm. Another block of mass M = 3kg moving towards the origin with velocity 30 cm/sec collides with the block per forming SHM at t= O and gets stick to it calculate (a) New amplitude of oscillations, (b) New equation for position of the combined body (c) Loss of energy during collision [Neglect friction]

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

1.	One end of an ideal spring is fixed to a wall at origin 'O' and axis of spring is parallel to x-axis. A block of mass m = kg 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+35 m (10 t) Here 't' is in second and 'x' in cm. Another block of mass M = 3kg moving towards the origin with velocity 30 cm/sec collides with the block per forming SHM at t= O and gets stick to it calculate (a) New amplitude of oscillations, (b) New equation for position of the combined body (c) Loss of energy during collision [Neglect friction]
Answer» Solution :(a) 3 CM ,(B) x=10 - 3 sin 5T , (c) 0.135 J