# Oscillation on inline

A block of mass M = 1 kg is placed of a fixed rough incline of inclination $$\theta = \sin^{-1} \frac{7}{10}$$ and coefficient of friction $$\mu = \frac{1}{ \sqrt{51}}$$ connected to a spring of spring constant 100 N/m.

Initially the spring is in relaxed state with length = 10 cm. If the block is left to move, then, find the increment in the length (in cms) in spring when block is completely at rest.

Take $$g= 10 \text{ m/s}^2$$.

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