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

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

Answers (1)

From the figure, If we displace the mass ‘m’ from its equilibrium position towards the right by distance ‘x’, spring B(left side spring) will be compressed by distance x,  & let  kx be the force applied on the mass ‘m’ towards the left. If we apply the force kx on the mass 'm', A(right side spring) will be extended by distance x towards the left; and apply force kx towards the left. Thus, restoring force will act on the block as a net force towards the left.

\\F=kx+kx \\ F=2kx

Thus, restoring force towards the left is 2kx

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