The sum of two forces acting at a point is 16 N. If the resultant force is 8 N and its direction is perpendicular to minimum force then the forces are

Q. Prove that the product of matrices

[\begin{matrix} {cos}^{2} θ & cos θ sin θ cos θ sin θ & {sin}^{2} θ \end{matrix}]

and

[\begin{matrix} {cos}^{2} ϕ & cos ϕ sin ϕ cos ϕ sin ϕ & {sin}^{2} ϕ \end{matrix}]

is the null matrix, when

θ

and

ϕ

differ by an odd multiple of

\frac{π}{2}

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A body of mass 5 kg is acted upon by two perpendicular force 8N and 6N, find the magnitude and direction the acceleration:

The correct option is B 2 ms−2,θ=cos−1(0.6) from 6NF=√62+82=10N10=5aa=2m/scosθ=610=0.6θ=cos−1(0.6) from 6N

A body of mass $5 k g$ is acted upon by two perpendicular force $8 N$ and $6 N$ , find the magnitude and direction the acceleration:

The correct option is B $2 m s^{- 2}, θ = {cos}^{- 1} (0.6)$ from $6 N$
F= $\sqrt{6^{2} + 8^{2}} = 10$ N
$10 = 5 a$
a= $2 m / s$
cos $θ = \frac{6}{10} = 0.6$
$θ = c o s^{- 1} (0.6)$ from 6N