Question

A vector in x-y plane of magnitude 20 m makes angle 60° with x-axis. Its Y component is?

Answer 1

Answer:

Explanation: 20 sin (60)°

Answer 2

Answer- The above question is from the chapter 'Motion in a Plane'.

Concept used: Resolution of vectors- It is a process of splitting a vector into two components i.e. horizontal component and vertical component.

Horizontal component (aₓ) = a cos θ

Vertical component ( $a_{y}$ ) = a sin θ

Given question: A vector in X - Y plane of magnitude 20 m makes angle 60° with x-axis. Its Y-component is _______ .

Answer: Let the vector be represented by $\vec{s}$ .

$\vec{s}$ = 20 m

θ = 60°

Vertical component ( $s_{y}$ ) = s sin θ

Vertical component ( $s_{y}$ ) = 20 × sin 60°

Vertical component ( $s_{y}$ ) = 20 × $\frac{\sqrt{3}}{2}$

Vertical component ( $s_{y}$ ) = 10√3 m

∴ Vertical component ( $s_{y}$ ) = 10√3 m