00:01
Hi students, in this question, a tether ball is being given which is attached to a rock and it is executing circular motion.
00:09
And here we are asked to find out the value of tension force t which is acting on the rock when this ball is at a point a.
00:16
Now looking at the side view of this particular image, we can see that the tension force t can be resolved into two components based on the angle theta and they are taken to be t -cos theta as well as t -sine -teta respectively.
00:31
Moreover, it should be noted that this t -sign theta will be equal to the centripetal force of the ball which is taken as f -c.
00:39
On the other hand, t -cose -theta will be equal to the weight of the ball which is taken as w.
00:45
Where it should be noted that the centripetal force f -c is usually represented as the product of mass of the ball into velocity of that particular ball square divided by radius of that particular circular low.
00:57
On the other hand, weight w will be taken as the product of mass of the ball, of the ball into acceleration due to gravity g.
01:05
Now from this figure we can write that the value of t -cose -theta will be equal to w.
01:12
On the other hand t -syn theta will be equal to the value of f c.
01:17
Now by equating we get t -syn theta will be equal to m v square divided by r where the mass of this board is given to be a value of 0 .7 kilogram...