00:01
In this question we have been given a circular track.
00:07
This is the top view of the track.
00:10
The track is given to be of radius 150 meters.
00:13
Now we will draw the side view of the track.
00:16
Since it is inclined and as given in the question 40 degrees and the radius is 150 meters.
00:26
We have to find the maximum speed that a car traveling on the inclined plane can move in the circle.
00:36
These are the tires of the car and the coefficient of static friction is given to be 0 .7.
00:53
The car is going with velocity v max and we have to find vmax equal to question 1.
01:00
The key concept that will be used in this question is for maximum velocity static friction equals to coefficient of static friction times normal force.
01:21
To find the maximum velocity first we will be drawing the free body diagram of the car.
01:26
So let's start drawing the free body diagram.
01:33
This is the car.
01:38
Static friction will be acting down the slope.
01:43
If the velocity is maximum, the slope at an angle, 40 degree from the horizontal...