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Rotational Motion — JEE Main & Advanced NSEP PYQs

32 previous year questions from Rotational Motion with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

32 questionsNSEPSolutions on every page
1

A sphere of radius R made up of Styrofoam (light polystyrene material) has a cavity of radius R / 2 . The centre of the cavity is situated at a distance of R / 2 from the centre of

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A ball A of mass 1 kg moving at a speed of 5 ~m / s strikes tangentially another ball B initially at rest. The ball A then moves at right angles to its initial direction at a speed

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Consider two point masses m₁ and m₂ connected by a light rigid rod of length r₀ . The moment of inertia of the system about an axis passing through their centre of mass and perpend

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Two point masses m₁ and m₂ are connected at the ends of a light rigid rod of length l . The moment of inertia of the system about an axis through their centre of mass and perpendic

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A particle at rest explodes into two fragments of masses m₁ and m₂ (m₁>m₂ ) which move apart with nonzero velocities. If ₁ and ₂ are their de Broglie wavelengths respectively, then

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A ball of mass m hits directly another ball of mass M at rest and is brought to rest by the impact. One third of the kinetic energy of the ball is lost due to the collision. The co

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Two particles A and B of equal masses have velocities v_A =2 + and v_B =- +2 . The particles move with accelerations a_A =-4 - and a_B =-2 +3 respectively. The centre of mass of th

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Rocket fuel is capable of giving an exhaust velocity of V_ rel =2.4 ~km / s in the absence of any external forces. The fuel required per kg of the payload to provide an exhaust vel

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Two bodies of equal masses moving with equal speeds make a perfectly inelastic collision. If the speed after the collision is reduced to half, the angle between their velocities of

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A uniform solid drum of radius R and mass M rolls without slipping down a plane inclined at an angle . Its acceleration along the plane is

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Two balls A and B moving in the same direction collide. The mass of B is p times that of A. Before the collision the velocity of A was q times that of B . After the collision A com

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A uniform circular disc rotating at a fixed angular velocity about an axis normal to its plane and passing through its centre has kinetic energy E . If the same disc rotates with a

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A string of length l , tied to the top of a pole, carries a ball at its other end as shown. On giving the ball a single hand blow perpendicular to the string, it acquires an initia

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A large horizontal uniform disc can rotate freely about a rigid vertical axis passing through its centre O . A man stands at rest at the edge of the disc at a point A . The mass of

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A star undergoes a supernova explosion. Just after the explosion, the material left behind forms a uniform sphere of radius 8000 km with a rotation period of 15 hours. This remaini

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A ball of mass m₁ travels horizontally along the x -axis in the positive direction with an initial speed of v ₀ . It collides with another ball of mass m ₂ that is originally at re

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A solid hemisphere is cemented on the flat surface of a solid cylinder of same radius R and same material. The composite body is rotating about the axis of the cylinder of length w

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A body of mass 10 kg at rest explodes into two fragments of masses 3 kg and 7 kg . If the total kinetic energy of two pieces after explosion is 1680 J , the magnitude of their rela

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Two masses move on a collision path as shown. Before the collision the object with mass 2M moves with a speed v making an angle = ⁻¹ 3 5 to the x -axis while the object with mass M

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A thin uniform metallic rod of length L and radius R rotates with an angular velocity in a horizontal plane about a vertical axis passing through one of its ends. The density and t

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A ball A (mass m ₁ ) moving with velocity v experiences an elastic collision with another stationary ball B ( mass m ₂ ). Each ball flies apart symmetrically relative to the initia

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A solid cylinder of mass m is rolling without slipping on a rough horizontal surface, under the action of a horizontal force F such that the line of action of F passes through cent

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A circular disc of radius R =10 ~cm is uniformly rolling on a horizontal surface with a velocity v =4 ~ms ⁻¹ of centre of mass without slipping, the time taken by the disc to have

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In a certain machine two steel plates are separated by a hardened steel cylindrical roller (see fig). In operation, the plates move back and forth horizontally, perpendicular to th

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A thin uniform rod of mass M is bent in to four adjacent semicircles of radius of curvature R lying in same plane. Moment of inertia of the bent rod about an axis through one end A

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A number n of identical balls, each of mass m and radius r , are stringed like beads at random and at rest along a smooth, rigid horizontal rod of length L mounted between immovabl

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A small block A of mass 2 kg is attached to a spring of force constant 1200 Nm ⁻¹ , and rests on a smooth horizontal surface at x=0 as shown in figure. A second block B of mass 1 k

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A long uniform rod of length L and mass M is pivoted vertically on a horizontal, friction less pivot at its lower end. The rod is released from rest in its vertical position OA (se

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A can is a hollow cylinder of radius R and height h . Its ends are sealed with circular sheets of the same material. The can is made of thin sheet metal of areal mass density ( kg

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A lawn roller is a solid cylinder of mass M and radius R . As shown in the figure, it is pulled at its center by a horizontal force F and rolls without slipping on a horizontal sur

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A block B of mass 0.5 kg moving, on a horizontal frictionless table at 2.0 ~ms ⁻¹ , collides with a massless pan P (at origin O ) and sticks to it. The pan is connected at the end

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A deuteron of mass M moving at speed v collides elastically with an - particle of mass 2 M , initially at rest. The deuteron is scattered through 90^ from initial direction of its

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