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.