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.
(N/A) According to the figure,the block is displaced to the right side by a distance $x$.
The right spring gets compressed by $x$,developing a restoring force $kx$ towards the left on the block.
The left spring is stretched by an amount $x$,developing a restoring force $kx$ towards the left on the block.
Hence,the total restoring force $F$ towards the left on the block is:
$F = kx + kx$
$\therefore F = 2kx$
The right spring gets compressed by $x$,developing a restoring force $kx$ towards the left on the block.
The left spring is stretched by an amount $x$,developing a restoring force $kx$ towards the left on the block.
Hence,the total restoring force $F$ towards the left on the block is:
$F = kx + kx$
$\therefore F = 2kx$
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