Question

When a particle leaves vertical circular motion after slacking. Is it possible the body at the end of string will move to the centre and can we calculate that intial velocity in a parabolic motion as well as intial velocity in which the ball is thrown at the starting? Given centre coordinates (a, b)

Options:

A) Yes, the body can move towards the center, and initial velocities for both motions can be calculated.
B) No, the body cannot move towards the center, and the initial velocities cannot be calculated.
C) Yes, the body can move towards the center, but only the initial velocity in the parabolic motion can be calculated.
D) No, the body cannot move towards the center, but the initial velocity in the parabolic motion can be calculated.

Answer 1

The body cannot move towards the center in vertical circular motion after slacking. The initial velocities in both parabolic motion and when the ball is thrown can be calculated.

Step-by-step explanation:

The body cannot move towards the center of vertical circular motion after slacking. The tension in the string provides the centripetal force necessary to keep the particle moving in the circular path. Once the tension is released, the particle will move in a straight line tangent to the circular path.

The initial velocity in a parabolic motion and the initial velocity when the ball is thrown can be calculated using the principles of projectile motion. The initial velocity in a parabolic motion can be calculated using the range formula, while the initial velocity when the ball is thrown can be calculated using the equations of motion.