A small bucket of mass M kg is attached to a lone inextensible cord of length L m. The bucket is released from rest when the cord is in a horizontal position. At its lowest position, the bucket scoops up m kg of water and swings up to a height h. The height h in meter is :-

A small bucket of mass M kg is attached to a lone inextensible cord of

1.	A small bucket of mass M kg is attached to a lone inextensible cord of length L m. The bucket is released from rest when the cord is in a horizontal position. At its lowest position, the bucket scoops up m kg of water and swings up to a height h. The height h in meter is :-
Answer» `((M)/(M + m))^(2) L` `((M)/(M + m)) L` `((M + m)/(M))^(2) L` `((M + m)/(M)) L` SOLUTION :At the lowest position COLM : `Msqrt(2gL) = (M + m)V` ……(i) COLM : `(1)/(2) (M + m)v^(2) = (M + m)gh` …..(ii) `rArr v = SQRT(2gh) = (Msqrt2gL)/((M + m)) rArr H = ((M)/(m + M))^(2) L`