41.
If the given forces P1, P2, P3 and P4 are such that the force polygon does not close, then the system will

42.
A shell travelling with a horizontal velocity of 100 m/sec explodes and splits into two parts, one of mass 10 kg and the other of 15 kg. The 15 kg mass drops vertically downward with initial velocity of 100 m/sec and the 10 kg mass begins to travel at an angle to the horizontal of tan-1x, where x is

43.
A ladder of weight 'w' rests against a smooth vertical wall and rests on rough horizontal ground, the coefficient of friction between the ladder and the ground being $$\frac{1}{4}$$. The maximum angle of inclination of the ladder to the vertical, if a man of weight 'w' is to walk to the top of it safely, is tan-1x, where x is

45.
For a simple pendulum, the period of one oscillation is

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