Question

A 13.4-kg monkey is hanging by one arm from a branch and swinging on a vertical circle. As an approximation, assume a radial distance of 97.8 cm is between the branch and the point where the monkey's mass is located. As the monkey swings through the lowest point on the circle, it has a speed of 1.17 m/s. Find (a) the magnitude of the centripetal force acting on the monkey and (b) the magnitude of the tension in the monkey's arm.

Answer 1

when the monkey is at bottom, the tension in his hand is towards his wrist(the point of holding) and the weight of the monkey is acting downward in opp direction. therefore the net force acting on the monkey is

T - mg
this provides the required centripetal force, hence




this eq can be used to get the tension in monkey hand
but before this we have to calculate centrifugal force

centrifugal force =

and using it in the above eq we can get the tension in his hand

T = 18.75 + 13.8 * 9.8

= 18.75 + 135.24

= 153.99 N

the magnitude of the tension in the monkey's arm = 153.99 N