A rigid uniform bar AB of length ? is slipping from its vertical position on a frictionless floor (as shown in the figure). At some instant of time, the angle made by the bar with the vertical is `theta.` Which of the following statements about its motion is/are correct?

Options

A. The trajectory of the point A is a parabola
B. Instantaneous torque about the point in contact with the floor is proportional to sin 0
C. The midpoint of the bar will fall vertically downward
D. When the bar makes ah lallffibj |o. mlnj vertical, the displacement of its midpoint from the initial position is proportional to (1 ~ cosO)