QUESTION

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12.61 The static as well as the dynamic coefficient of friction between the $1.6-\mathrm{kg}$ block and the horizontal surface is $\mu=0.2$. The spring attached to the block has a stiffness of $30 \mathrm{~N} / \mathrm{m}$, and it is undeformed when $x=0$. At time $t=0$, the block is at $x=0$ and moving to the right with the velocity $v=6 \mathrm{~m} / \mathrm{s}$. (a) Derive an expression for the acceleration of the block that is valid for both positive and negative values of $v$. (b) Use numerical integration to determine when the block comes to rest during the time period $t=0$ to $1.2 \mathrm{~s}$. (c) Plot the velocity against the position for the time period specified in Part (b). Fig. $P_{12} .61$

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BAIEFV The First Answerer