Two forces are such that the sum of their mag | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(c) Let $P$ be the smaller force and $Q $ be the greater force then according to problem -

$P + Q = 18$......$(i)$

$R = \sqrt {{P^2} + {Q^2} + 2

Vedclass · Accepted Answer

$5, 13$

Vedclass · Answer

(c) Let $P$ be the smaller force and $Q $ be the greater force then according to problem -

$P + Q = 18$......$(i)$

$R = \sqrt {{P^2} + {Q^2} + 2PQ\cos 	heta } = 12$.......$(ii)$

$	an \phi = \frac{{Q\sin 	heta }}{{P + Q\cos 	heta }} = 	an 90 = \infty $

 $P{m{ }} + {m{ }}Q{m{ cos}}	heta = 0$.......$(iii)$

By solving $(i)$, $(ii)$ and $(iii)$ we will get $P = 5,$ and $Q = 13$

Two forces are such that the sum of their magnitudes is $18\; N$ and their resultant is $12\; N$ which is perpendicular to the smaller force. Then the magnitudes of the forces are

Similar Questions

If $\overrightarrow R$ is the resultant vector of two vectors $\overrightarrow A $ and $\overrightarrow B $, then $\overrightarrow {\left| R \right|} \,...\,\overrightarrow {\left| A \right|} \, + \,\overrightarrow {\left| B \right|} $.

The maximum and minimum magnitude of the resultant of two given vectors are $17 $ units and $7$ unit respectively. If these two vectors are at right angles to each other, the magnitude of their resultant is

Two vectors $A$ and $B$ inclined at angle $\theta$ have a resultant $R$ which makes an angle $\phi$ with $A$. If the directions of $A$ and B are interchanged and resultant will have the same

The resultant of two forces, one double the other in magnitude, is perpendicular to the smaller of the two forces. The angle between the two forces is ........ $^o$

$\overrightarrow A \, = \,3\widehat i\, + \,2\widehat j$ , $\overrightarrow B \, = \widehat {\,i} + \widehat j - 2\widehat k$ then find their addition by algebric method.