Mechanics
Kinematics in 1D and 2D; Newton's laws of motion; conservation of momentum and energy; rotational mechanics; gravitation; fluid statics and dynamics; oscillations and waves.
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Take a full mock →Q1 · Mechanics · HARD
A uniform solid sphere of mass M and radius R is placed on a rough horizontal surface with coefficient of friction μ. A horizontal force F is applied at a height h = 3R/4 from the ground. If the sphere rolls without slipping, the minimum value of μ required is:
Q2 · Mechanics · HARD
A particle of mass m is projected vertically upward with velocity v₀ from the surface of Earth (radius R, mass M). Neglecting air resistance, the maximum height reached above the surface is (given v₀² = gR/3, where g is acceleration due to gravity at surface):
Q3 · Mechanics · HARD
A uniform solid cylinder of mass 6 kg and radius 0.4 m is free to rotate about its horizontal axis. A massless string is wound around the cylinder and carries a block of mass 2 kg at its free end. The system is released from rest. Find the acceleration of the block (in m/s²). Take g = 10 m/s².
Q4 · Mechanics · MEDIUM
A particle of mass m is projected at an angle θ = 45° with the horizontal from the ground with initial speed u. The magnitude of the change in momentum between the point of projection and the highest point of the trajectory is: