Find the magnitude of the centripetal force acting on the monkey

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SUMMARY

The centripetal force acting on a 9.5 kg monkey swinging in a vertical circle with a radius of 0.85 m and a speed of 2.6 m/s is calculated using the formula F_c = (m*v^2)/r. This results in a centripetal force of approximately 27.6 N. Additionally, the tension in the monkey's arm at the lowest point of the swing is determined by balancing the gravitational force and the centripetal force, yielding a tension of about 36.1 N. A free body diagram illustrates the forces acting on the monkey, including gravitational force and tension.

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  • Understanding of Newton's laws of motion
  • Familiarity with centripetal force calculations
  • Knowledge of free body diagrams
  • Basic algebra for force balance equations
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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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