Question

A particle of mass m is projected with speed √rg/4 from top of a smooth hemisphere as shown in figure.if the particle

Answer 1

Explanation:

The equation of motion:

N−mgcosθ=

R

mV

2

When the body loses contact, N=0:

R

mV

2

=−mgcosθ

⟹

4R

Rg

=−gcosθ

⟹

4

1

=−cosθ

⟹θ=cos

−1

(

4

1

)=75.5

o

∴ϕ=90

o

−75.5

o

=14.4

o

⟹cosϕ=0.96 R

∴ Horizontal distance =0.96 R