A rod 
of mass
, length 
is lying on a horizontal frictionless surface. A particle of mass m travelling along the surface hits the end 
of the rod with a velocity 
in a direction perpendicular to 
The collision is completely elastic. After the collision ,the
Particle comes to rest. The ratio
Is
a)
b)
c)
d)
A rod of mass , length is lying on a horizontal frictionless surface. A particle of mass m travelling along the surface hits the end of the rod with a velocity in a direction perpendicular to The collision is completely elastic. After the collision ,the
Particle comes to rest. The ratio Is
a)
b)
c)
d)
Question ID - 51492 | SaraNextGen Top Answer
A rod of mass , length is lying on a horizontal frictionless surface. A particle of mass m travelling along the surface hits the end of the rod with a velocity in a direction perpendicular to The collision is completely elastic. After the collision ,the
Particle comes to rest. The ratio Is
a)
b)
c)
d)
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A rod Particle comes to rest. The ratio
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a) |
|
b) |
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c) |
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d) |
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(a)
Since, linear momentum is conserved
.png)
Angular momentum is also conserved
Where 
is the moment of inertia of the rod about the axis of rotation
Since, collision is completely elastic , kinetic energy is also conserved .Thus,
From Eqs. (i)and (ii),We get
Putting this value in Eq. (iii),we get
OR 