Q20 of 40 Page 102

Two identical springs of spring constant K are attached to a block of mass m and to fixed supports as shown in Fig. 14.8. When the mass is displaced from equilibrium position by a distance x towards right, find the restoring force


Consider the direction towards k to be negative and towards K to be positive.


Now let the box be displaced by x towards spring k and thus the displacement =


Now the force due to spring k is and is directed towards right side due to compression of the spring


and the force due to spring k is and is directed towards right side due to extension of the spring


∴ total restoring force


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