Problem 13P

13. The figure shows a rotating wheel with radius $40 \mathrm{~cm}$ and a connecting rod $A P$ with length $1.2 \mathrm{~m}$. The pin $P$ slides back and forth along the $x$ -axis as the wheel rotates counterclockwise at a rate of 360 revolutions per minute.

(a) Find the angular velocity of the connecting rod, $d \alpha / d t$, in radians per second, when $\theta=\pi / 3$.

(b) Express the distance $x=|O P|$ in terms of $\theta$.

(c) Find an expression for the velocity of the pin $P$ in terms of $\theta$.

Step-by-Step Solution