# Spring and SHM - 1

A block of mass $$m$$ is gently attached to the spring and released at time $$t=0$$, when the spring has its free length. During subsequent motion of the block, the displacement of the block $$x$$ with respect to time $$t$$ is considered. Find $\displaystyle\int_0^3 x ~\mathrm{d}t$

Details and Assumptions

• Neglect air resistance.
• $$k$$ is the spring constant.
• $$m = 10\text{ kg},k = 34 \text{ Nm}^{-1}, g = 9.8 \text{ ms}^{-2}$$

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