Search and browse 1000’s of questions from past papers and view answers.
(a) Prove that the moment of inertia of a uniform square lamina of mass m and side 2l about an axis through its centre parallel to one of its sides is 1/3 ml^2. (b) A square lamina PQRS, of side 60 cm and mass m, can turn freely about a horizontal axis
(2011)
(a) A U-tube of cross-sectional area of 0.15 cm^2 contains oil of relative density 0.8. (b) A uniform solid cylinder floats upright with 1/3 of its axis immersed when placed in liquid A.
If x^2 (dy/dx)-xy=7y and and y=1 when x=1, find the value of y when x=2 . (b) A particle travelling in a straight line has a deceleration of v^2/400+16ms^2 where v is its speed at any time t.
(a) A particle falls from rest from a point P. (b) A car, starts from rest at A, and accelerates uniformly at 1 m/s/s along a straight level road towards B, where |AB| = 1914 m.
(2012)
(a) Rain is falling with a speed of 25 m/s at an angle of 20° to the vertical. b) At noon ship A is 50 km north of ship B.
