Chapter 5, Problem 12RE

(a)

To determine

The equation of motion if the mass weighing $12\text{pounds}$ stretches a spring $2\text{feet}$ and the mass is initially released from a point $1\text{foot}$ below the equilibrium position with a upward velocity of $4\text{ft}/\text{s}$.

(b)

To determine

The amplitude, period and frequency of the simple harmonic motion that is determined by the equation $x\left(t\right)=\sqrt{2}\sin \left(4t+\frac{3\pi }{4}\right)$.

(c)

To determine

The time at which the mass return to the point $1\text{foot}$ below the equilibrium position.

(d)

To determine

The time at which mass passes through the equilibrium position moves upward and downward.

(e)

To determine

The velocity of the mass at $t=\frac{3\pi }{16}s$.

(f)

To determine

The time when the velocity of the mass is zero.