Ncert Exercises & Solutions

Two identical springs of spring constant k are attached to a block of mass m and to fixed supports as shown in figure. When the mass is displaced from equilibrium positions by a distance x towards right, find the restoring force.

Hint: The two springs are in parallel combination.

Step 1: Find the net force on the block.

Consider the diagram in which the block is displaced right through x.

The right spring gets compressed by x developing a restoring force k x towards the left on the block. The left spring is stretched by an amount x developing a restoring force k x towards left on the block a given in the free body diagram of the block.

Hence, total force (restoring)=(k x + k x) [

∵

Both forces are in same direction]

= 2k x towards left

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