Question

If an object of mass m performs circular motion along a circular path of radius r with a velocity v, its centripetal force​

Answer 1

Answer:

Lets consider,

m= mass of body performing circular motion

L= angular momentum

r= radius of circular path

v= velocity of the particle

The angular momentum ,

L=mvr

v=

mr

L

. . . . . . .(1)

The centripetal force,

f

c

=

r

mv

2

. . . .(2)

Substitute equation (1) in equation (2), we get

f

c

=

r

m

(

mr

L

)

2

f

c

=

mr

3

L

2