Chapter 15, Problem 80AP

(a)

To determine

To show: The maximum extension of the spring from its unstressed position is very nearly given by $\frac{{\mu }_{\text{s}}mg}{k}$.

(b)

To determine

To show: The block oscillates around an equilibrium position at which the spring stretched by $\frac{{\mu }_{\text{k}}mg}{k}$.

(c)

To determine

To draw: The graph of block's position versus time.

(d)

To determine

To show: The amplitude of the motion of the block is given by $\frac{\left({\mu }_{\text{s}}-{\mu }_{\text{k}}\right)mg}{k}$

(e)

To determine

To show: The period of the motion of the block is given by $\frac{2\left({\mu }_{\text{s}}-{\mu }_{\text{k}}\right)mg}{vk}+\text{π}\sqrt{\frac{m}{k}}$