Question

A car is moving up with uniform speed along a flyover bridge which is part of a vertical circle. Mark the true statement from the following.

• A. Normal reaction on the car gradually decreases and becomes minimum at the highest position of the bridge.
• B. Normal reaction on the car gradually increases and becomes maximum at the highest position.
• C. Normal reaction on car does not change.
• D. Normal reaction on the car gradually decreases and becomes zero at the highest position.

Answer 1

The correct option is A Normal reaction on the car gradually decreases and becomes minimum at the highest position of the bridge.

$N_{bottom}=mg+m\frac{v^2}{r}$ at the bottom of the vertical circle
$N_{top}=mg-m\frac{v^{\prime 2}}{r}$ at the top of the of the vertical circle
Hence, N decrease while the particle moves from the bottom of the vertical circle to the top of the vertical circle.