IIT-JEE Exam

Four solid spheres each of diameter 5 cm and mass 0.5 kg are placed with their centers at the corners of
a square of side 4 cm. The moment of inertia of the system about the diagonal of the square is N ´ 10^-4 kgm2,
then N is

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IIT-JEE Other Question

boy is pushing a ring of mass 2 kg and radius 0.5 m with a stick..The stick applies a force of 2N on the ring and rolls it
without slipping with an acceleration of 0.3 m/s2. The coefficient of
friction between the ground and the ring is large enough that rolling
always occurs and the coefficeint of friction between the stick and the ring
is (P/10). The value of P is A block is moving on an inclined plane making an angle 45° with the horizontal and the coefficient of
friction is m. The force required to just push it up the inclined plane is 3 times the force required to just
prevent it from sliding down. If we define N = 10 m, then N is