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 figure. When the mass is displaced from equilibrium position by a distance $x$ towards right, find the restoring force.
According to below figure block is displaced to right side at distance $x$.
The right spring gets compressed by $x$ developing a restoring force $k x$ towards left on the block. The left spring is stretched by an amount $x$ developing a restoring force $k x$ left on the block $F.\;B.\;D.$ for this is as below.
Hence, total restoring force towards left on the block,
$\mathrm{F} =k x+k x$
$\therefore \mathrm{F} =2 k x$
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