Question

Two particles start together from a point O and slide down straight on smooth wires inclined at 30^o and 60^o to the vertical and in the same vertical plane and on the same side of vertical through O. The relative acceleration of the second with respect to first will be in magnitude and direction as 

(a) g/2 in the vertical direction

(b) g√3/2 inclined at 45^o to vertical

(c) g/√3 inclined at 60^o to vertical

(d) g in the vertical direction

Answer 1

The correct option is (a) g/2 in the vertical direction.

Explanation:

Let i be the unit vector along the downward vertical through O and j be the unit vector along the horizontal in the same sense as the wires. The accelerations of the particles sliding on the wires are