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Linear acceleration of a solid sphere rolling down a 30 degree incline

The same question, asked 3 times: 2 May 2023 S2, 11 May 2023 S1, 20 Apr 2025 S1. Every wording below, oldest first.

Try each one first, then open its answer.

  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

    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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