Question

A ring of mass m and radius R is placed on a
frictionless horizontal surface. A particle of mass m
is projected from point A with velocity vat an angle
of 45° with AO as shown. The correct statements
are (Assuming all collisions to be perfectly elastic)
m
R
450
А​

Answer 1

Explanation:

Correct option is

B

3R

v

C

1

C

2

=

2

R

where, C

2

= combined centre of mass of ring and particle.

From conservation of angular momentum about C

2

L

i

=L

f

∴

2

mv⋅R

=Iω=[mR

2

+

4

mR

2

+

4

mR

2

]ω

Solving this equation we get,

ω=

3R

v

.