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Acceleration of a body rolling down an incline

This type of question, asked 5 times: 2 May 2023 S2, 11 May 2023 S1, 14 May 2024 S2, 20 Apr 2025 S1, 18 Apr 2026 S1. All 5 questions below, oldest first.

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  1. Question 1

    2 May 2023 S2

    15
    An inclined plane makes an angle of 30∘30^\circ with the horizontal. A solid sphere rolling down this inclined plane from rest without slipping has a linear acceleration (g=g = acceleration due to gravity, sin⁡30∘=0.5\sin 30^\circ = 0.5)

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  2. Question 2

    11 May 2023 S1

    14
    An inclined plane makes an angle 30∘30^\circ with horizontal. A solid sphere rolls down from the top of the inclined plane from rest without slipping has a linear acceleration along the plane equal to (where g is acceleration due to gravity) (given sin⁡30∘=0.5\sin 30^\circ = 0.5)

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  3. Question 3

    14 May 2024 S2

    33
    A solid cylinder and a solid sphere having same mass and same radius roll down on the same inclined plane. The ratio of the acceleration of the cylinder aca_c to that of sphere asa_s is

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  4. Question 4

    20 Apr 2025 S1

    37
    An inclined plane makes an angle 30∘30^{\circ} with the horizontal. A solid sphere rolling down an inclined plane from rest without slipping has linear acceleration ( g=g = acceleration due gravity) ( sin⁡30∘=0.5\sin30^{\circ}= 0.5 )

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  5. Question 5

    18 Apr 2026 S1

    106
    A solid cylinder and a solid sphere having the same mass and radius roll down on the same smooth inclined plane. The ratio of the acceleration of the cylinder (ac)(a_c) to that of the sphere (as)(a_s) is

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