Consider the wheel-piston device in Figure 4. The wheel has radius 1 foot and rotates counterclockwise at

Question:

Consider the wheel-piston device in Figure 4. The wheel has radius 1 foot and rotates counterclockwise at 2 radians per seconds. The connecting rod is 5 feet long. The point P is at (1, 0) at time t = 0.
(a) Find the coordinates of P at time t.
(b) Find the y-coordinates of Q at time t (the x-coordinate is always zero).
(c) Find the velocity of Q at time t. You will need the fact that Du(ˆšu) = 1/(2ˆšu).