A block is released from rest at B on a smooth path of arbitrary shape. Find the speed it attains when it reaches point A.

a. (2 g h)0.5
b. (2 g/h)0.5
c. (2 g l)0.5
d. (2 g/l)0.5

Consider the forces in the direction of motion of the block
m g sin q = m at
=> a
t = g sin q

but a
t ds = v dv
=> v dv = g sin
q ds

but dy = ds sin
q


The velocity of the block at A is (2 g h)0.5