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
- increases
- decreases
- remains the same
- fluctuates erratically
The Correct Option is A
Solution and Explanation
From figure, reaction of normal force on the motorcyclist is
$mg \cos \theta - R = \frac{mv^2}{r}$
$\therefore \:\:\:\: R = mg \cos \theta - \frac{mv^2}{r}$
As motorcycle ascend on the overbridge, angle of inclination of motorcycle with vertical $\theta$ decreases and becomes zero at the highest point. So cosq goes on increasing and becomes 1 at highest point. So value of $R$ is continuously increasing while ascending.
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Concepts Used:
Laws of Motion
The laws of motion, which are the keystone of classical mechanics, are three statements that defined the relationships between the forces acting on a body and its motion. They were first disclosed by English physicist and mathematician Isaac Newton.
Newton’s First Law of Motion
Newton’s 1st law states that a body at rest or uniform motion will continue to be at rest or uniform motion until and unless a net external force acts on it.
Newton’s Second Law of Motion
Newton's 2nd law of motion deals with the relation between force and acceleration. According to the second law of motion, the acceleration of an object as built by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.
Newton’s Third Law of Motion
Newton's 3rd law of motion states when a body applies a force on another body that there is an equal and opposite reaction for every action.