Center of Mass -8

7) A system of two blocks A and B are connected by an inextensible mass less string as shown. Pulley is mass less and frictionless. A bullet of mass m₀ with velocity V₀ and gets embedded. Find the impulse imparted by tension force?

Solution:

Let the Impulse =

Then for Bullet + B Þ

8) After perfectly inelastic collision between 2 identical particles moving with same speed in different direction, the speed of particles between ¾ th of initial speed. Find the angle between the two before collision.

Momentum remains conserved so,

9) From a solid hemisphere of radius F is removed of Radius R/2. Then find COM of solid remaining?

Solution:

COM of above solid + COM of solid hemisphere of radius R/2 

                (=X₁)                           (=X₂)

= COM of whole solid hemisphere with radius R (X<M).