Question
How does the normal force on a concave suspension bridge change when a vehicle is travelling on it with a constant speed ?

Answer

At the lowest point, $N-m g$ provides the centripetal force. Therefore, $N-m g=\frac{m v^2}{r}$, so that $N = m \left( g +\frac{v^2}{r}\right)$.
Therefore, $N$ increases with increasing $v$.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

State the expression for the acceleration of a circularly symmetric rigid body rolling without slipping down an inclined plane. Hence, deduce the acceleration of
(i) a ring
(ii) a solid cylinder
(iii) a hollow cylinder
(iv) a solid sphere, rolling without slipping down an inclined plane.
A flywheel of mass $4 \mathrm{~kg}$ and radius $10 \mathrm{~cm}$, rotating with a uniform angular velocity of $5 \mathrm{rad} / \mathrm{s}$, is subjected to a torque of $0.01 \mathrm{~N}$.m for 10 seconds.
If the torque increases the speed of rotation, find
(i) the final angular velocity of the flywheel
(ii) the change in its angular velocity
(iii) the change in its angular momentum
(iv) the change in its kinetic energy.
\(104 J\) of work is done on certain volume of a gas. If the gas releases \(125 kJ\) of heat, calculate the change in internal energy of the gas.
How does a waterproofing agent work ?
The magnetic moment of a magnet of dimensions \(5 cm \times 2.5 cm \times 1.25 cm\) is \(3 Am ^2\). Calculate the intensity of magnetization.
The refractive indices of diamond and water with respect to air are 2.4 and $4 / 3$ respectively. What is the refractive index of diamond with respect to water ?
The moment of inertia of the Earth about its axis of rotation is $9.83 \times 10 \mathrm{~kg} \cdot \mathrm{m}^2$ and its angular speed is $7.27 \times 10^{-5} \mathrm{rad} / \mathrm{s}$. Calculate its
(i) kinetic energy of rotation
(ii) radius of gyration. [ Mass of the Earth $=6 \times 10^{24} \mathrm{~kg}$ ]
Explain analytically how the stationary waves are formed. Hence show that the distance between node and adjacent antinode is \(\frac{\lambda}{4}\).
If the charge on a capacitor is $2 \mu C$ and the potential difference across the conductors forming the capacitor is $100 V$, what is the electrostatic energy stored in the capacitor?
What is a polarizer?