Question

A force of$5N$ acts on a particle along a direction making an angle of $60°$ with vertical. Its vertical component will be

• A. $10N$
• B. $3N$
• C. $4N$
• D. $2.5N$

Answer 1

The correct option is D

$2.5N$

Explanation for the correct answer:

Option (D): $2.5N$

Step 1. Given data and free body diagram for the given case:

Direction of force making angle between vertical, $\theta =60°$

Force applied, $F=5N$

Vertical component of force, $F=F\text{'}$

Step 2. Taking component of force in vertical direction:

Vertical component of force, $F\text{'}$ $=F\cos \theta$

$=F\cos (60°)$

$=5x\frac{1}{2}$

$\therefore F\text{'}=2.5N$

Hence, correct option is (D).