Hi, I'm Tim for Quebec, Canada and I'm having a hard time grasping the whole problem and how to solve it. I'd appreciate it a lot if you could help me with this one. Thank you very much and best regards.
P.S. I translated the problem from French to English the best I could and I couldn't find a proper way to translate part b) so I'm sorry for the hard time I'm causing you. I hope you understand what I wrote.
The metal bar of length l on the figure has an extremity fixed on point P on a circle of the radius a. The other extremity of the bar, point Q, moves in a rectilinear horizontal trajectory.
a) By finding x, the distance between O and Q, determine x in function of angle θ.
b) Supposing that the lengths are expressed in centimeters and that the variation of the angle is 2 radians per seconds in anti-clockwise, find the speed at which the point Q is moving when θ = π/2
c) What do we need to calculate if we want to find for which angle θ point P is moving the fastest.