question_answer

A block of mass m is connected to another block of mass M by a spring (massless) of spring constant k. The blocks are kept on a smooth horizontal plane. Initially the blocks are at rest and' the spring is upstretched.Then, a constant force F starts acting on the block of mass M to pull it; Find the force on the block of mass m. [AIEEE 2007]

A) \[c=x\hat{i}+(x-2)\hat{j}-\hat{k}\]

B) \[x\]

C) \[R=(3,3\sqrt{3})\]

D) \[\angle PQR\]

Correct Answer: C

Solution :

[c] Acceleration of system, \[\frac{\sqrt{3}}{2}x+y=0\]

So, force acting on mass\[x+\sqrt{3}y=0\]