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Force applied at the top of a sphere that rolls without slipping: acceleration

This type of question, asked 2 times: 3 Apr 2025, 6 Apr 2026 S2. All 2 questions below, oldest first.

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  1. Question 1

    3 Apr 2025

    10
    A force of 49 N acts tangentially at the highest point of a sphere (solid) of mass 20 kg , kept on a rough horizontal plane. If the sphere rolls without slipping, then the acceleration of the center of the sphere is.

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  2. Question 2

    6 Apr 2026 S2

    3
    A solid sphere (A) of mass, 5 m and spherical shell (B) of mass mm, both having same radius, are placed on a rough surface. When a force of same magnitude is applied tangentially at the highest points of A and B , they start rolling without slipping with an acceleration of aAa_{A} and aBa_{B}, respectively. The ratio of aAa_{A} and aBa_{B} is ____\_\_\_\_ .

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