00:01
Hello everyone, here we are given.
00:03
There are three masses each 170 grams and these are connected just like a triangle with size 40 centimeters.
00:11
This is a equilateral triangle.
00:13
This angle is 60 degree and this is the angle of rotation.
00:16
Firstly, we have to find the moment of inertia about the axis and then we have to find the kinetic energy if the triangle is rotated six evolutions per second.
00:25
So let us start with part a.
00:28
Now suppose this is the line which is passing the second.
00:31
Through the axis.
00:33
So we can say that the distance of each mass from the center will be given as 2 divided by 3 multiplied by a sign 60 degrees since sign 60 is perpendicular upon hypotenuse.
00:50
So in this right angle triangle this is perpendicular and this is the hypotenuse and we have to find the distance of each mass from the center.
01:00
Since this is a equilateral triangle, the distance from the center of each of the mass will be same.
01:06
And an equilateral triangle, we have 2 divided by 3.
01:11
The side is 40 cm, sine 60 is root 3 divided by 2 and 2 are cancelled out.
01:21
Route 3 multiplied by root 3 is 3.
01:26
Therefore, this is equal to 40 divided by root 3 centimeters or in meters it is 0 .40 divided by root 3 divided by root 3 centimeters...