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Hello students in this question, a car is given which is moving with a constant velocity from a path in which a hill and a valley is present.
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This convex part is known as the hill and this concave part is the valley.
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We are given with three points, point a, b and c, and we have to tell where will the largest normal force will act on the car.
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I have drawn the three free body diagram of different cases.
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Is when the car moves on a path and i'll write the naming as a, b and c.
00:37
As we know, the weight of the body always acts downward and the normal reaction balances the weight of the car.
00:45
I can write as the mg, that is the weight will be acting downward and normal reaction will be acting upward.
00:55
Similarly, in the case b, i can write the weight will be acting downward and normal reaction must be balancing the weight.
01:04
Also, in the third case, i can write weight will be acting downward and the normal reaction will be balancing the weight.
01:12
Now, since the car is moving with a constant velocity, it is a uniform circular motion.
01:18
In the first case, the center of curvature lies downward.
01:23
So, the net centripetal force will be acting downward and i can write the net centripetal force in this case will be in the downward direction.
01:32
Also in the next case, as we can see there is no curved path so the normal will be balancing the weight and there will be the no centripetal force.
01:42
In the third case, that is the case of the valley, the centripetal force will again be directed towards the center of curvature.
01:51
So in the free body diagram i can show the direction of the centripetal force.
01:57
Force that is in the upward direction...