2025 Exam Questions
Q. State the formula for angle of banking.
Q. State and prove the law of conservation of angular momentum.
Q. The power rating of a ceiling fan rotating with a constant torque of 2 Nm with an angular speed of 2 \pi \mathrm{rad} / \mathrm{s} will be \qquad .
(A) \pi \mathrm{W}
(B) 2 \pi \mathrm{~W}
(C) 3 \pi \mathrm{~W}
(D) 4 \pi \mathrm{~W}
Q. A flywheel of a motor has mass 100 kg and radius 1.5 m . The motor develops a constant torque of 2000 Nm . The flywheel starts rotating from rest. Calculate the work done during the first 4 revolutions.
2024 Exam Questions
Q. The moment of inertia (MI) of a disc of radius R and mass M about its central axis is _____.
(a) \frac{MR^2}4
(b) \frac{MR^2}2
(c) MR^2
(d) \frac{3MR^2}2
Q. Define centripetal force.
Q. Derive an expression for maximum speed of a vehicle moving along a horizontal circular track.
Q. The radius of a circular track is 200 m. Find the angle of banking of the track, if the maximum speed at which a car can be driven safely along it is 25 m/sec.
2023 Exam Questions
Q. If friction is madezero for a road, can a vehicle move safely on this road?
Q. Derive expressions for linear velocity at lowest position, mid-way position and the top-most position for a particle revolving in a vertical circle, if it has to just complete circular motion without string slackening at top.
Q. State and prove principle of conservation of angular momentum.
2022 Exam Questions
Q. When the bob performs a vertical circular motion and the string rotates in a vertical plane, the difference in the tension in the string at horizontal position and uppermost position is ____.
(A) mg
(B) 2mg
(C) 3mg
(D) 6mg
Q. Define moment of inertia of a rotating rigid body. State its SI unit and dimensions.
Q. Derive an expression for kinetic energy of a rotating body.
Q. Derive an expression for the kinetic energy of a body rotating with a uniform angular speed.
Q. State the law of conservation of angular momentum.
Q. Calculate the moment of inertia of a uniform disc of mass 10 kg and radius 60 cm about an axis perpendicular to its length and passing through its centre.
Q. The surface density of a uniform disc of radius 10 cm is 2 kg/m2. Find its MI about an axis passing through its centre and perpendicular to its plane.
Q. An automobile engine develops 62.84 kW while rotating at a speed of 1200 rpm. What torque does it deliver?
