Question $5$

A mass starts at rest when $=0$ and slides down a smooth bar which forms a circular guide

of radius $R.$ If a spring with a spring constant $k$ is coiled around the bar, as shown, develop an

expression to determine the angle at which the mass stops moving.

What is the kinetic energy at position $1?[$KE$1]$ J

Question $6$

Assuming the $0$ reference for $y$ is at the center of the circle, what is the potential energy

at position $1?[$PE$1]$ J

Question $7$

What is the kinetic energy at position $2,$ at the maximum deflection $?[$KE$2]$ J

Question $8$

Solve when $m=2kg,R=0\mathrm{.}3m,$ and $k=200\frac{N}{m}.$

At what angle, in radians, does the mass stop moving? $[$theta$]$