Question

A motor cycle is going on an overbridge of radius R. The driver maintains a constant speed. As the motor cycle is ascending on the overbridge, the normal force on it(a) increases(b) decreases(c) remains the same(d) fluctuates erratically

Answer 1

(a) increases

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Answer 2

Answer:

a) Increases

Explanation:

Radius of motorcycle = r (Given)

Speed = s  = constant (Given)

Normal Reaction of the Motor cycle will be described as -  mgcosθ - N =  mv²/r

N = mgcosθ - mv²/r

where m, v and r will be constant, which means they have the same value throughout the motion.

The angle on which the line joins the motorcyclist makes with the vertical keeps on deceasing, as result the cosine value is increasing, since it increases from 90° to 0°. As a result, the normal reaction is increasing continuously.