Question

A vector of 10 units acts at a point making an angle of 30° with the horizontal. What are the horizontal and vertical components of the vector?​

Answer 1

Answer:

Fh = 8.66 N

Fv = 5 N

Explanation:

Fh = F cos 30 = 10 × 0.866 = 8.66 N

Fv = F sin 30 = 10 × 0.5 = 5 N

Answer 2

We know

• Horizontal Component of Vector = vcos(θ)

• Vertical Component of Vector = vsin(θ)

According To Question

• v = 10

• θ = 30

Solution

Horizontal Component of Vector = vcos(θ)

⇒ Horizontal Component of Vector = 10 × cos(30)

⇒ Horizontal Component of Vector = 10 × √3/2 units

⇒ Horizontal Component of Vector = 5 × √3 units

⇒ Horizontal Component of Vector = 5√3 units

Vertical Component of Vector = vsin(θ)

⇒ Vertical Component of Vector = 10 × sin(30)

⇒ Vertical Component of Vector = 10 × 1/2 units

⇒ Vertical Component of Vector = 10/2 units

⇒ Vertical Component of Vector = 5 units