Two collars, A of mass 2 m and B of mass 3 m are connected by a massless rod with pinjoints so that they are constrained to move along the fixed perpendicular rods on horizontal plane as shown, in the

Question

Two collars, A of mass 2 m and B of mass 3 m are connected by a massless rod with pinjoints so that they are constrained to move along the fixed perpendicular rods on horizontal plane as shown, in the accompanying figure. Another collar C of mass m hits A with speed' v 'and sticks to it. There is no friction between collars and rods.

TestHub · Accepted Answer

Let the impulse due to the rod be T. mv − T sin α = 3 mv 1 ​ where, v 1 ​ is the speed of ( A + C ) just after the collision. T cos α = 3 m V 2 ​ where V 2 ​ is the speed of B from the inextensibility of rod A B V 1 ​ sin α = V 2 ​ cos α thus, V 1 ​ = 3 v c o s 2 α ​ & V 2 ​ = 6 v s i n 2 α ​

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