Question

find the resultant of two forces equal to 50N and 30n acting at an angle of 60°

Answer 1

a = 50N
b = 30N

r = √ a² + b² + 2ab cos x
= √ 50²+30² + 2× 50×30× 1/2
= √2500+900+1500
= √ 4900
= 70N

Answer 2

Dear Student,

● Answer -

Resultant force = 70 N

◆ Explanation -

# Given -

A = 50 N

B = 30 N

θ = 60°

# Solution -

Resultant of two forces is calculated by formula -

R = √(A² + B² + 2ABcosθ)

R = √(50² + 30² + 2×50×30×cos60°)

R = √(2500 + 900 + 3000×0.5)

R = √(3400 + 1500)

R = √(4900)

R = 70 N

Hence, the resultant of two forces equal to 70 N.

Thanks dear. Hope this helps you...