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Motion Of Centre Of Mass

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A projectile of mass mis fired with an initial velocity v_(0) at an angle 0 to the horizontal. At its highest point, it explodes into two fragments of equal mass. One of the fragments falls vertically with zero initial speed. Since the only external force acting on the system is gravitational, the motion of centre of mass of the_ system (the fragments) follows the same parabolic path as the projectile would have followed if there had been no explosion. Force of explosion is internal, it cannot change the trajectory of the system.

The figure (A) and (B) shows two different arrangements of a spool being pulled with a constant force F in each case. Identify the direction of motion of centre of mass, and the direction of friction force in each case (i) The centre of mass moves along _______ x-axis in figure (A). (negative/positive) (ii) The frictional force acts along ___________ x-axis in figure (A). (negative/positive) (iii) The centre of mass moves along ____________ x-axis in figure (B). (negative/positive) (iv) The frictional force acts along _____________ x-axis in figure (B). (negative/positive)

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