Two forces 10N and 6N act in the directions 060° and ...
Two forces 10N and 6N act in the directions 060° and 330° respectively. Find the x- component of their resultant.
\(5\sqrt{3} - 3\)
\(3 - 5\sqrt{3}\)
\(5 - 3\sqrt{3}\)
\(3\sqrt{3} - 5\)
Correct answer is A
\(F = F \cos \theta i + F \sin \theta j\)
\(10N = 10 \cos 60 i + 10 \sin 60 j\)
\(6N = -6 \cos 330 i - 6 \sin 330 j\)
\(R_{x} = 10 \cos 60 - 6 \cos 330 \)
= \(10 \times \frac{1}{2} - 6 \times \frac{\sqrt{3}}{2}\)
= \(5 - 3\sqrt{3}\)
Given n = 3, evaluate \(\frac{1}{(n-1)!} - \frac{1}{(n+1)!}\)...
Given that \((\sqrt{3} - 5\sqrt{2})(\sqrt{3} + \sqrt{2}) = p + q\sqrt{6}\), find q....
Evaluate tan 75\(^o\); leaving the answer in surd form (radicals) ...
If \(2, (k+1), 8,...\) form an exponential sequence (GP), find the values of k...
Find, in surd form, the value of \(\cos 165\)....
If \(f(x) = 3x^{3} + 8x^{2} + 6x + k\) and \(f(2) = 1\), find the value of k....
For what values of x is \(\frac{x^{2} - 9x + 18}{x^{2} + 2x - 35}\) undefined?...
If \(\sin x = -\sin 70°, 0° < x < 360°\), determine the two possible values of x....
Find the unit vector in the direction opposite to the resultant of forces. F\(_1\) =...