Find the magnitude of the centripetal force acting on the monkey

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To find the magnitude of the centripetal force acting on the 9.5 kg monkey swinging in a vertical circle with a radius of 0.85 m and a speed of 2.6 m/s, the formula F_c = m*v^2/r is applied, resulting in a centripetal force of approximately 27.4 N. At the lowest point of the swing, the forces acting on the monkey include the gravitational force (weight) and the tension in its arm. A free body diagram reveals that the tension must counteract both the weight of the monkey and provide the necessary centripetal force. By balancing these forces, the tension in the monkey's arm can be calculated as approximately 36.9 N. This analysis highlights the dynamics of circular motion and the forces involved at the lowest point of the swing.
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A 9.5 kg monkey is hanging by one arm from a branch and is swinging on a vertical circle. As an approximation, assume a radial distance of 85 cm 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 2.6 m/s.


(a) Find the magnitude of the centripetal force acting on the monkey

(b) Find the magnitude of the tension in the monkey's arm.
 
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Draw a free body diagram of the monkey when it is at the lowest point in the circle. For simplification, assume a circle of 85 cms. and a string and a bob of mass 9.5kg withe string having one end at the center and the other moving along the periphery of the circle and attached to the bob.

After drawing the f.b.d, balance the forces and see what you get...
 
What forces are acting on the monkey as he hangs from the branch at the lowest point?
 

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