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Viscous Force

Two identical...

Question

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

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Solution

When the spring are in natural length net force on the block is zero.

$\sum {\to F}_{n e t} = 0$

When the mass is slightly displaced $x$ from mean position towards right, force equation will be

$F_{s} = - k x - k x = - 2 k x$

This is the net restoring force acting towards left.

Final Answer: $2 k x$ towards left

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