Question

find the resultant of two forces equal to 50 N and 30 N acting at an angle of 60 degree and also find tan​

Answer 1

Explanation:

GIVEN:-

>>Force A = 50N.

>>Force B = 30N.

$\sf{ > > θ = 60° }$

TO FIND:-

>>The resultant force of two forces.

UNDERSTANDING THE CONCEPT:-

According to the question,

>>We know the force of A and B and the theta, So from this we can find the resultant force by using the respective formula.

$\huge\tt\fbox\purple{Answer:}$

$\sf{r = \sqrt{(a {}^{2} - b {}^{2} + 2ab \: \cos(θ) ) } }$

$\sf{r = \sqrt{(50 {}^{2} } + 30 {}^{2} + 2(50 \times 30) \times \cos(60°) }$

$\sf{r = \sqrt{2500 + 900 + 3000 \times 0.5} }$

$\sf{r = \sqrt{3400 + 1500} }$

r = √4900

r = 70

Therefore, the resultant of two forces is 70N