Free physics question bank

Angular Momentum & Its Conservation questions with solutions

Practice Rotational Motion for JEE Main, JEE Advanced, NEET, and Classes 11–12. Attempt each question, then open it for the full solution.

Showing 1–10 of 62 questions

  • MCQmediumRotational Motion

    A uniform disk turns at 2.4 rev/s around a frictionless axis. A nonrotating rod, of the same mass as the disk and length equal to the disk's diameter is dropped onto the freely spinning disk figure. They then both turn around the axis with their centres superposed. What as the angular frequency in rev/s of the combination.

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    JEE MainsNEET

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  • Multi-correctmediumRotational Motion

    A small ball of mass m suspended from the celling at a point O by a thread of length l moves along a horizontal circle with a constant angular velocity ω.

    img7106-1791129922048.webp

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  • ParagraphmediumRotational Motion

    A spring of natural length ℓ₀ lies on a smooth table with one end fixed and the other attached to a particle of mass m. The particle is given speed v₀ perpendicular to the spring. The maximum extension is Δℓ = ℓ₀/10. Given m = 0.1 kg, ℓ₀ = 1 m and v₀ = 11 m/s.

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    Sub-question 1

    In the course of motion, which of the quantities relating to spring block system are conserved?

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    Sub-question 2

    Which of the following is correct about initial situation and situation at maximum elongation?

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    Sub-question 3

    Student A: At maximum extension, mv′(ℓ₀ + Δℓ) = mv₀ℓ₀. Student B: At maximum extension, kΔℓ = mv′²/(ℓ₀ + Δℓ). Student C: ½mv₀² = ½mv′² + ½k(Δℓ)². Where v′ is the speed at maximum extension, which statement is correct?

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  • MCQmediumRotational Motion

    A man spinning in free space changes the shape of his body, eg. by spreading his arms or curling up. By doing this, he can not change his

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  • MCQmediumRotational Motion

    A particle of mass 2 kg located at the position (î + ĵ) m has a velocity 2 (+î -ĵ + k̂) m/s. Its angular momentum about z-axis in kg·m²/s is:

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  • MCQeasyRotational Motion

    Two rigid bodies have moments of inertia I and 2I about their axes and equal rotational kinetic energy. The ratio of their angular momenta is:

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  • MCQmediumRotational Motion

    A child is standing on the edge of a merry-go-round that has the shape of a disk, as shown in the figure above. The mass of the child is 40 kilograms. The merry-go-round has a mass of 200 kilograms and a radius of 2.5 meters, and it is rotating with an angular velocity of ω = 2.0 radians per second. The child then walks slowly toward the center of the merry-go-round. What will be the final angular velocity of the merry-go-round when the child reaches the center ? (The size of the child can be neglected)

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  • NumericmediumRotational Motion

    A rigid horizontal smooth rod AB of mass 0.75 kg and length 40 cm can rotate freely about a fixed vertical axis through its mid-point O. Two rings each of mass 1 kg are initially at rest at a distance of 10 cm from O on either side of the rod. The rod is set in rotation with an angular velocity of 30 radians per second. Find the velocity of each ring along the length of the rod in m/s when they reach the ends of the rod.

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  • MCQmediumRotational Motion

    When the position vector. r⃗\vec{r} = xî + yĵ + zk̂ changes sign as -r⃗\vec{r}, which one of the following vector will not flip under sign change ?

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    JEE Mains 202628 January Evening Shift

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  • NumericmediumRotational Motion

    A body of mass 'm' is projected with a speed ‘u’ making an angle of 45° with the ground. The angular momentum of the body about the point of projection, at the highest point is expressed as √2 μ\mu³/(Xg). The value of 'X' is_______.

    JEE Mains 2024 31 Jan Evening Shift

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