ump$-$start Problem $24$ Name:

Phys $213$ Fall $2024$

An object of mass m $=0\mathrm{.}600$ kg is attached to a horizontal spring. The spring is stretched to a

displacement of A $=85\mathrm{.}0$ mm from its equilibrium position and then released, undergoing simple

harmonic motion on a frictionless horizontal surface. The period of oscillation is T $=3\mathrm{.}00$ s$.$

a$)$ What is the angular frequency of the simple harmonic motion?

$=$

b$)$ What is the spring constant of the spring?

k $=$

c$)$ Write down expressions for the position, velocity, and acceleration of the object as functions

of time.

x $=$

v $=$

a $=$