Question

The position vector particle has a length of 1m and makes 30° with the x-axis. What are the lengths of the x and y components of the position vector?

Answer 1

Given,

Length of position vector = 1 m

Angle made with x axis = 30

Solution:

Length of X component (OB) = OA cos θ

= 1 × cos 30°

= `sqrt3/2` (or) 0.87 m

Length of Y component (AB) = OA sin θ = 1 × sin 30°

= `1/2` = 0.5 m.