Search and browse 1000’s of questions from past papers and view answers.
(a) Prove that the moment of inertia of a uniform disc, of mass m and radius r about an axis through its centre, perpendicular to its plane, is 1/2 mr^2. (b) A wheel consists of a uniform circular disc of radius r with four circular holes each of radius
(2018)
(a) A buoy in the form of a hollow spherical shell of external radius 0·7 m and internal radius 0·65 m floats in water. (b) A thin uniform rod AB of length 2h and weight W, can turn feely about the end A, which is fixed at a height h above the surface
If dy/dx= 3 sin 3x+ cos 5x and y = 1when x= π/4, find the value of y when x= π/2.If there were no emigration, the population ݔ of a certain county would increase at a constant rate of 2·5% per annum.
A particle P, of mass 3 kg, is projected along a rough inclined plane from the point A with speed 4∙2 m s–1. (b) Train A and Train B are on parallel tracks and travelling in opposite directions. The wind appears to the man to come from a direction north 5
(2019)
(a) A man walks at a constant speed of 4 km h–1 from west to east on level ground. (b) A rescue boat, whose maximum speed is 24 km h–1, is 18 km south west of a fixed point P.
