A spring of mass $3 k g$ is connected to an ideal spring as shown in the figure. Determine the elongation of spring when the block is in equilibrium.

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Solution

Step 1: Given
Step 2: Draw the free body diagram
The horizontal force F is balanced by the restoring force of the spring $k x$
Step 3: Determine the elongation
For equilibrium condition in the horizontal direction,
$F = k x 30 = 100 x x = 0.3 m$
Hence, the elongation of spring when the block is in equilibrium is $0.3 m$

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