Leaning pole
A pole of negligible mass leans against a wall, at angle $θ$ with the horizontal. Gravity is directed down.
(a) Find the constraint relating the vertical acceleration of one end to the horizontal acceleration of the other.
(b) Now suppose that each end carries a pivoted mass $M.$ Find the initial vertical and horizontal components of acceleration as the pole just begins to slide on the friction less wall and floor. Assume that at the beginning of the motion the forces exerted by the rod are along the line of the rod. (As the motion progresses, the system rotates and the rod exerts side wise forces.)
Figure:
Solution:
Question 1(Q1) How does $F_p$ genrated?
Question 2(Q2) From the figure, $M\frac{d^2x}{dt^2}=F_p\cos\theta$ instead of $M\frac{d^2x}{dt^2}=F_p\sin\theta$. Right?