I am trying to understand conservation linear momentum with in angular momentum
Herewith i just explain what i am looking for.
Imagine an object of mass(M), velocity(V), is undergoing circular motion
with radius(R) Angular momentum L = RMV (R-radius M-mass- V- tangential velocity)
Mass is constant here
Since L is conserved so when R is decreased tangential velocity(V) has to be increased to keep angular momentum constant.
Does this mean linear momentum not conserved when radius of rotation changes?
When linear momentum is not conserved then what is the force that increases the velocity of object when R decreases.
Could anyone clarify this. or could any one say is my basic understanding about momentum is wrong. for easy understanding i am only considered magnitude of momentum's not cross product of vectors