Question

What is the velocity at the lowest point of the circle , if the particle will leave a verticle circle of radius r

Answer 1

Answer:

Let,

R= radius of circle

m= mass of particle

v= critical speed of particle

θ=60

0

Critical condition at C,

mg=

R

mv

2

v

2

=gR

v=

gR

Lets assume the speed of particle at point P is u

Applying conservation of energy,

2mgR+

2

1

mv

2

=

2

1

mu

2

+mgR(1+cosθ)

4gR+gR=u

2

+3gR

u

2

=2gR

u=

2gR