Question #e5ff1

1 Answer
Apr 7, 2016

At the bottom

Explanation:

For the body to continue with circular motion, a centripetal force is required. If we assume the body moves at the same speed, then the centripetal force will be constant F_c=mv^2/r

If we define T as the tension and mg as the object's weight

At the bottom:
T_b-mg = F_c .
Tension always acts towards the centre. The tension net of the weight has to provide the centripetal force. This can rearranged as:

T_b= F_c+mg

At the top:
T_t+mg= F_c. The tension and the weight provide centripetal force, which is the same as:

T_t=F_c-mg

And at middle:
T_m=F_c (weight acts perpendicular to tension and centripetal force, so affects neither)

Hence if F_c is constant, then the tension is greatest at the bottom.