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(a) Prove that the moment of inertia of a uniform square lamina, of mass m and side 2r, about an axis through its centre parallel to one of the sides is 1/3 mr^2. (b) (i) A uniform square lamina abcd of side 2r oscillates in its own plane about a horizo
(2007)
(a) A U-tube whose limbs are vertical and of equal length has mercury poured in until the level is 26.2 cm from the top in each limb. (b) A uniform solid sphere is held completely immersed in 500 cm3 of water by means of a string tied to a point on t
(a) Solve the differential equation dy/dx=y^2 sinx given that y = 1 when x =π/2. (b) The acceleration of a racing car at a speed of v m/s is (1-v^2/3200)ms^2.
(a) A ball is thrown vertically upwards with an initial velocity of 39.2 m/s. (b) Two particles P and Q, each having constant acceleration, are moving in the same direction along parallel lines.
(2008)
(a) Two straight roads cross at right angles. A woman C, is walking towards the intersection with a uniform speed of 1.5 m/s. (b) On a particular day the velocity of the wind, in terms of i r and j r , is x ir - 3 j r , where x ∈ N.
