First slide

Vectors

Question

The resultant of two forces 1 and P is perpendicular to ‘1’ and equal to 1. What is the value of ‘P’ and angle between the forces

Moderate

A

√2 N, 135⁰
B

√2 N, 150⁰
C

2 N , 120⁰
D

2 N , 150⁰

Solution

In magnitude
1² + 1² = P²
P = √2 N
Tanθ = 1/1 = 1 = Tan45⁰ ⇒ θ = 45⁰;
The angle between the forces = θ + 90⁰ ⇒ 45⁰ + 90⁰⇒ 135⁰

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