Equilibrium of a Solid Cylinder

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5 Questions

Which of the following expressions represents the maximum value of acceleration for which the cylinder remains in equilibrium on the rough plank?

gl

What is the time dependence of the angle (\theta) for a solid body rotating about a fixed axis, with angular velocity given by (\omega = k\theta - l), where (k) is a positive constant and at (t = 0), (\theta = 0)?

(\theta = kt)

What is the value of (x) if the moment of inertia of a disc about an axis parallel to its diameter and at a distance (x) from the center is equal to the moment of inertia about its central axis?

(\frac{R}{2})

What is the ratio of the radii of gyration of a spherical shell and a solid sphere with the same mass and radius, about a tangential axis?

(1)

Which of the following expressions represents the maximum value of acceleration for which the cylinder remains in equilibrium on the rough plank?

gl

Practice test for JEE (2024) Physics - Single Correct Type Questions. Test your knowledge on equilibrium of a uniform solid cylinder placed on a rough horizontally plank. Find the maximum acceleration for which the cylinder remains in equilibrium.

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