UP TGT Mathematics Statics Test Series - Part 1

If three forces P, Q, R are in equilibrium, the magnitude of force P in terms of Q, R and the angle θ between Q and R is...

Type: MCQ • Marks: 1
If three forces P, Q, R are in equilibrium, the magnitude of force P in terms of Q, R and the angle θ between Q and R is given by P² =
Options
A. Q² + R² + 2QR cos θ
B. (Q + R)^2
C. Q² + R² - 2QR cos θ
D. Q² + R²
Explanation
Since the forces are concurrent in equilibrium, P balances the resultant of Q and R. Resultant R_QR = √(Q² + R² + 2QR cos θ), so P² = Q² + R² + 2QR cos θ.
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