A rod of mass and length 8 lies on a smooth horizontal surface. A particle of mass and velocity strikes the rod perpendicular to its length, as shown Figure. As a result of the collision, the centre of mass of rod attains a speed of and the particle rebounds back with a speed of . Find the following
The ratio , |
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a) |
b) |
c) |
d) |
A rod of mass and length 8 lies on a smooth horizontal surface. A particle of mass and velocity strikes the rod perpendicular to its length, as shown Figure. As a result of the collision, the centre of mass of rod attains a speed of and the particle rebounds back with a speed of . Find the following
The ratio , |
|||||||
a) |
b) |
c) |
d) |
(a)
Conservation of linear momentum
Conservation of angular momentum about point of collision
Using coefficient of restitution equation
Velocity at end ,
Velocity at end