Three forces in equilibrium: if two are equal and at 120°, third force is:
A. Zero
B. Equal to each, at 120° to both
C. Sum of two
D. Difference of two
Answer: Option B
Solution (By JKSSB Mock Tests)
Vector equilibrium: three equal forces at 120° form closed triangle. Third force equals magnitude of others, oriented 120° from each. Memory aid: 'Equilibrium: vector sum = 0; symmetric forces ⇒ symmetric angles'. Statics concept frequently tested in competitive exams.
Explanation:
Buoyant force = weight of displaced fluid = ρ_fluid × V_displaced × g. Independent of depth (if fluid incompressible) and object's density, though object density determines if it floats. Shape affects volume displaced when floating.
Explanation:
T ∝ √m. If m' = 4m, T' = √4 × T = 2T. Period doubles when mass quadruples. Memory aid: 'Spring period: T ∝ √m; 4× mass ⇒ 2× period'. Oscillations proportionality frequently tested in competitive exams.
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