Q. A particle of mass $m$ attracted with a string of length $l$ is just revolving on the vertical circle without slacking of the string. If $v_{A},v_{B}$ and $v_{D}$ are speed at position $A,B$ and $D$ then

A) $v_{B} > v_{D} > v_{A}$
B) Tension in string at $D = 3\ mg$
C) $v_{D} = \sqrt{3gl}$
D) All of the above
Explanation

(d) At $A,\ v_{A} = \sqrt{gl}$
At $B,\ v_{B} = \sqrt{5gl}$
and at $D,\ v_{D} = \sqrt{3gl}$
Thus, $v_{B} > v_{D} > v_{A}$
Also, $T = 3\ mg(1 + \cos\theta)$
So, $D,$ $\theta = 90{^\circ}$
$\therefore\ T = 3\ mg(1 + \theta) = 3\ mg$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.