If-two-forces-P-and-Q-acting-at-0-are-represented-by-line-OA-and-OB-with-being-the-angle-between-the-two-forces-find-their-resultant-in-R-in-terms-of-P-

Tinku Tara June 3, 2023 Vector 0 Comments

Question Number 6778 by Tawakalitu. last updated on 24/Jul/16

If two forces P and Q acting at 0 are represented by line OA and OB with φ being the angle between the two forces . find their resultant in R in terms of P

$${If}\:{two}\:{forces}\:{P}\:{and}\:{Q}\:{acting}\:{at}\:\mathrm{0}\:{are}\:{represented}\:{by}\:{line}\:{OA} \\ $$$${and}\:{OB}\:{with}\:\phi\:{being}\:{the}\:{angle}\:{between}\:{the}\:{two}\:{forces}\:. \\ $$$${find}\:{their}\:{resultant}\:{in}\:{R}\:{in}\:{terms}\:{of}\:{P} \\ $$

Commented by prakash jain last updated on 25/Jul/16

$$\mathrm{By}\:\mathrm{cosine}\:\mathrm{rule} \\ $$$$\mathrm{R}^{\mathrm{2}} =\mathrm{P}^{\mathrm{2}} +\mathrm{Q}^{\mathrm{2}} +\mathrm{2PQcos}\:\emptyset \\ $$

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