Question

a stone of mass 2kg tie with the help of thread of length 2m and moves in vertical circle of radius 2m and moves in vertical circular motion.The difference between the tension in the thread at lowest point and at the highest point is.(g=10m/s^2)​

Answer 1

Given:

A stone of mass 2kg tie with the help of thread of length 2m and moves in vertical circle of radius 2m and moves in vertical circular motion.

To Find:

The difference between the tension in the thread at lowest point and at the highest point is? (g=10m/s^2)​

Solution:

it is given that-

mass of the stone, m = 2kg

radius of the vertical circle, r = 2m

take , g = 10 m/s^2

here, according to question;

since, we know that-

Tension in the thread at lowest point on the vertical circle is given by

$T_{l}=F_{c}+mg$

similarly, tension in the thread at highest point on the vertical circle is;

$T_{h}=F_{c}-mg$

where, T is the tension, $F_{c}$ is centripetal force ,

g is acceleration due to gravity and m is the mass of the stone.

According to question;

$T_{l}-T_{h}=(F_{c}+mg)-(F_{c}-mg)\\\ = 2 \ mg\\\ = 2\times2\times10\\\ = 40 \ N$

Hence, the difference between the tension in the thread at lowest point and at the highest point is 40N.

Answer 2

Explanation:

120 N is the correct answer