**EXAMPLE 4: ****THE ANGULAR IMPULSE-MOMENTUM RELATION**

Particle
*A* of mass 1 kg moves on a smooth
horizontal surface and is connected by a string to particle *B*. *B*
has a mass of 2 kg. Particle *B* is
released from rest at time t=0 when particle *A* has a circumferential velocity of 10 m/s and a radius of 0.5 m.
Write the equation of motion of the system.

**Solution:**

Particle
A:

_{}

_{}

_{}

_{}

_{}

Particle
B:

_{}

Kinematics
relation:

_{}

_{}

_{}

Substitution
from (2) gives

_{}

Equation (2) and (6) are the equation of motion for the system.