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(a) Prove that the moment of inertia of a uniform circular disc, of mass m and radius r, about an axis through its centre perpendicular to its plane is 1/2 mr^2.
(2013)
(a) V1 cm3 of liquid A of relative density 0·8 is mixed with V2 cm3 of liquid B of relative density 0·9 to form a mixture of relative density 0·88. (b) Liquid C of relative density 0·8 rests on liquid D of relative density 1·2 without mixing. A solid
(a) If x^2(dy/dx)-7=0 and y = 1 when x = 7, find the value of y when x =14. (b) A particle starts from rest at O at time t = 0.
(a) Two cars, P and Q, travel with the same constant velocity 15 m/s along a straight level road. (b) At a particular instant a car of mass 1200 kg is towing a trailer of mass 450 kg on a level road at a speed of 25 m s–1 when the engine exerts a consta
(2014)
(a) Three ships X, Y and Z are observed from a coastguard station at half-hour intervals. (b) At noon ship B is 300 km south of ship A.