Tow 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 equilibrum position by a distance x towards right, find the restoring force.

Explanation

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 left on the block. The left speing is stretched by an amout x developing a restoring force k x towards left on the block as gven in the free body diagram of the block.

Hence, total force (restoring) `=(kx+kx)` `[:'"Both forces are in same direction"]`
`2kx" towardsleft"`