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 m_{0} with velocity V_{0} and gets embedded. Find the impulse imparted by tension force?

Solution:

/v:imagedata /v:shape

Let the Impulse = _{/v:imagedata /v:shape}

Then for Bullet + B Ãž _{/v:imagedata /v:shape}

_{/v:imagedata /v:shape}

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.

/v:imagedata /v:shape

Momentum remains conserved so,

_{/v:imagedata /v:shape}

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

/v:imagedata /v:shape

Solution:

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

(=X_{1}) (=X_{2})

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

_{/v:imagedata /v:shape}

_{/v:imagedata /v:shape}

_{/v:imagedata /v:shape}