Block,spring and an inclined plane.

In figure, a block weighing 14.0 N 14.0 N , which can slide without friction on an incline at angle θ = 40.0 ° \theta = 40.0° , is connected to the top of the incline by a massless spring of un stretched length 0.450 m 0.450 m and spring constant 120 N / m 120 N/m . How far from the top of the incline is the block's equilibrium point?


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The answer is 0.525.

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2 solutions

Satvik Pandey
Jul 11, 2014

Component of force parallel to the incline=14sin40. In order to reach equilibrium net force on block = 0 Let the block reach equilibrium when spring get displaced by x from its mean position. So 120k=14sin40. To find the distance from the top of the incline to the block's equilibrium point simply add x to 0.45

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