One end of an ideal spring is fixed to a wall at origin O and the axis of spring is parallel to the x-axis. A block of mass kg is attached to free end of the spring and it is performing SHM. Equation of position of the block in coordinate system shown in figure is 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 and gets stuck to it. (Taking rightward as positive direction).

Angular frequency of oscillation after collision is :

Options

A. (10 + 3 sin 5 t )cm
B. (10-3 sin 5 t)cm
C. (10+3 cos 10 t)cm
D. (10-3cos10t)cm

Answer

B

Explanation

Equation for position x of combined body is given by
`x=I_(0)+a'sin(omega't+pi)` or `x=(10+3sin(5t+pi))cm` or `x=10-3sin(5t)cm`