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Body held against the inner wall of a spinning drum by friction: minimum angular speed or coefficient of friction

This type of question, asked 2 times: 21 Jan 2026 S2, 2 Apr 2026 S2. All 2 questions below, oldest first.

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  1. Question 1

    21 Jan 2026 S2

    18
    A large drum having radius R is spinning around its axis with angular velocity ω\omega, as shown in figure. The minimum value of ω\omega so that a body of mass M remains stuck to the inner wall of the drum, taking the coefficient of friction between the drum surface and mass M is μ\mu, is :

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  2. Question 2

    2 Apr 2026 S2

    2
    A 0.5 kg mass is in contact against the inner wall of a cylindrical drum of radius 4 m rotating about its vertical axis. The minimum rotational speed of the drum to enable the mass to remain stuck to the wall (without falling) is 5rad/s5rad/s. The coefficient of friction between the drum's inner wall surface and mass is ____\_\_\_\_ . (Take g=10 m/s2g = 10\text{ }m/s^{2} )

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