⚡Chapter Practice
Rotational Motion — JEE Practice
45 practice questions across 3 topics. Filter by difficulty, solve topic-wise MCQs, and review detailed solutions.
3 Topics45 Questions
Moment of Inertia(15 Qs)
easy (5)
medium (5)
hard (5)
Q1A disc of mass M has a hole of radius R/2 drilled at its edge. The moment of inertia about the axis through centre of original disc:Q2The moment of inertia of a uniform hollow sphere about its diameter is:Q3A square lamina of side a and mass M has moment of inertia about an axis through its centre perpendicular to the plane:Q4Two identical rods of mass M and length L are joined at their ends to form an L-shape. The moment of inertia about the junction point (perpendicular to plane):Q5The moment of inertia of a cone of mass M, radius R, height H about its axis is:
Torque & Angular Momentum(15 Qs)
easy (5)
medium (5)
Q1A 3 m rod (mass 6 kg) is pivoted at one end. A 2 kg mass hangs from the other end. The torque about the pivot due to these weights (g=10 m/s²) is:Q2A disc of moment of inertia 2 kg·m² has angular velocity 10 rad/s. Its angular momentum is:Q3A torque of 10 N·m acts on a wheel of I = 5 kg·m². The angular acceleration is:Q4Conservation of angular momentum applies when:Q5An ice skater spins faster when arms are pulled in because:
hard (5)
Q1A disc of mass M and radius R rotates at ω. A ring of mass m and radius R is gently placed on it. The final angular velocity is:Q2A rod of length L pivoted at one end is released from horizontal. The angular velocity when vertical is:Q3A uniform rod of mass M and length L falls freely from height h. It rotates about its COM with angular velocity ω. The velocity of one tip relative to ground combines:Q4A turntable of I = 10 kg·m² rotates at 2 rev/s. A 5 kg monkey walks from edge (R=2m) to centre. The final angular velocity is:Q5A bullet of mass m traveling at v embeds horizontally in a rod (mass M, length L) pivoted at one end, hitting the free end. The angular velocity just after is:
Rolling Motion(15 Qs)
easy (5)
medium (5)
Q1A solid sphere rolls down an incline of angle θ without slipping. Its acceleration is:Q2A solid cylinder and a hollow cylinder of same mass and radius roll down an incline. Which reaches first?Q3The total kinetic energy of a solid sphere rolling with velocity v is:Q4The minimum coefficient of friction for a solid sphere to roll without slipping on an incline of angle θ is:Q5A disc rolls without slipping with velocity v. The ratio of rotational KE to total KE is:
hard (5)
Q1A sphere of mass m and radius r rolls up an incline of angle θ with initial velocity v₀. The distance it travels before stopping is:Q2A solid sphere rolling at v₀ hits a step of height h (h < R). The minimum v₀ to climb the step (assuming angular momentum is conserved about step edge) is:Q3A uniform ball is projected on a rough surface with v₀ (translational) and no spin. It starts pure rolling after time:Q4A rolling disc hits a step of height R/4. The minimum velocity to climb the step:Q5A solid cylinder of mass M and radius R rolls without slipping inside a hollow cylinder of radius 2R. The time period of small oscillations is:
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