A bead, A, of mass 0.1kg is threaded on a long straight rigid wire which is inclined at sin¯¹(7/25) to the horizontal. A is released from rest and moves down the wire. The coefficient of friction between A and the wire is µ. When A has travelled 0.45m down the wire, its speed is 0.6ms¯¹.

A small ball is projected with speed 15 m s¯¹ at an angle of 60° above the horizontal. Find the distance from the poi...

A cylindrical container is open at the top. The curved surface and the circular base of the container are both made f...

A particle P is projected with speed 20 m s¯¹ at an angle of 60° below the horizontal, from a point O which is 30 m a...

The parametric equations of a curve are x = 2t + sin 2t, y = 1 – 2 cos 2t, for −½π < t < ½π.

The variables x and θ satisfy the differential equation x cos² θ (dx/dθ) = 2 tan θ + 1, for 0 ≤ θ < ½π and x > 0. It ...