Question

See Conceptual Example 6 to review the concepts involved in this problem. A 12.0-kg monkey is hanging by one arm from a branch and swinging on a vertical circle. As an approximation, assume a radial distance of 86.4 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 1.33 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

Answer:

(a)  24.56 N

(b) 142.28 N

Explanation:

(a)

The designation assigned to something like the net force pointed toward the middle including its circular route seems to be the centripetal force. The net stress only at lowest point constitutes of the strain throughout the arm projecting upward towards the middle as well as the weight pointed downwards either backwards from the center.

The centripetal function is generated from either scenario by Equation:

⇒  $Fc = \frac{mv^2}{r}$

On putting the values, we get

⇒       $=\frac{12\times 1.33^2}{0.864}$

⇒       $=24.56 \ N$

(b)

Use T to denote whatever arm stress we can get at the bottom including its circle:

⇒  $Fc = T - mg =\frac{ mv^2}{r}$

⇒  $T = mg + Fc$

⇒      $=12\times 9.81+24.56$

⇒      $=142.28 \ N$