Problem 5. The double-collar particle "P" has a mass of 2 kg and is driven by the arm AB along the frictionless horizontal (no gravitational effects) path function:
r = [20 sin($\theta$) +20] meters, (as shown below, where $\theta$ is in radians).
If the arm AB maintains a constant CCW angular motion of 5 rad/sec, find the following at the instant $\theta$ = $\pi$/4 radians:
1. The velocity of the particle in terms of (r,$\theta$) coordinates
2. The acceleration of the particle in terms of (r,$\theta$) coordinates
Then, using the kinetic equations of motion $\Sigma F_r = ma_r$, and $\Sigma F_\theta = ma_\theta$, find:
3. The arm force "F" and the normal track force "N" acting on the particle
NOTE: only normal forces exist as we assume no friction
Follow HW Format, state all assumptions, and show all work.
Neatness counts!
