Find the magnitude of the centripetal force acting on the monkey

In summary, a 9.5 kg monkey swinging on a vertical circle with a radial distance of 85 cm from the branch has a speed of 2.6 m/s at the lowest point. To find the magnitude of the centripetal force acting on the monkey, a free body diagram is drawn with a circle of 85 cm and a string with one end at the center and the other attached to the monkey. The forces acting on the monkey include the tension in the string and the gravitational force.
  • #1
cocotown22
3
0
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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  • #2
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...
 
  • #3
What forces are acting on the monkey as he hangs from the branch at the lowest point?
 

1. What is centripetal force?

Centripetal force is a force that acts towards the center of a circular motion, keeping an object moving in a curved path.

2. How is the centripetal force calculated?

The magnitude of centripetal force can be calculated using the formula Fc = mv²/r, where Fc is the centripetal force, m is the mass of the object, v is the velocity, and r is the radius of the circular path.

3. How does the centripetal force affect the motion of the monkey?

The centripetal force acting on the monkey causes it to continuously change direction, keeping it moving in a circular path around the center of rotation.

4. What factors affect the magnitude of the centripetal force?

The magnitude of the centripetal force depends on the mass of the object, its velocity, and the radius of the circular path. The greater the mass and velocity, or the smaller the radius, the greater the centripetal force required to maintain the circular motion.

5. How can the centripetal force be increased or decreased?

The centripetal force can be increased by increasing the mass or velocity of the object, or by decreasing the radius of the circular path. It can be decreased by decreasing the mass or velocity, or by increasing the radius of the circular path.

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