Question

Two forces each of magnitude 10N acting on a body, if the forces are inclined at 30° and 60° with x axis, the X component of the resultant is?
A)10N
B)136.6N
C)1.366N
D)13.66N

Answer 1

Given that,

Force $F_{1}=10\ N$

Force $F_{2}=10\ N$

Inclined angle of F₁= 30°

Inclined angle of F₂ = 60°

We need to calculate the angle between F₁ and F₂

Using formula for angle

$\theta=\theta_{2}-\theta_{1}$

Put the value into the formula

$\theta=60-30$

$\theta=30^{\circ}$

We need to calculate the resultant

Using formula of resultant

$R=\sqrt{F_{1}^2+F_{2}^2+2F_{1}F_{2}\cos\theta}$

$R=\sqrt{10^2+10^2+2\times100\cos90}$

$R=\sqrt{100+100+200\dfrac{\sqrt{3}}{2}}$

$R=10\ N$

Hence, The resultant is 10 N

(A) is correct option.

Answer 2

Answer:

wrong ans when you solve this ans will be 19.3