NotesPrep
Vectors and Equilibrium test your understanding of vector addition, resolution of forces, resultant vectors, torque, center of mass, and conditions for static equilibrium. Master this critical section of NUST NET, ECAT, and NTS with our comprehensive collection of 40 questions. Learn to solve problems involving force systems, ladder problems, inclined planes, and equilibrium of rigid bodies to boost your physics score.
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Click on any question below to start practicing. Each question includes a detailed solution.
Triangle law: R = A + B. Parallelogram law: R² = A² + B² + 2ABcosθ. Direction: tanα = (Bsinθ)/(A + Bcosθ). Resolution: Fx = Fcosθ, Fy = Fsinθ. Resultant of multiple forces: Rx = ΣFx, Ry = ΣFy, R = √(Rx²+Ry²).
First condition: ΣF = 0 (translational equilibrium) → ΣFx = 0, ΣFy = 0. Second condition: Στ = 0 (rotational equilibrium) about any point. Torque τ = r × F = rFsinθ. Clockwise torque = counterclockwise torque for equilibrium.
Inclined plane: mgsinθ down the plane, mgcosθ normal. Ladder problem: forces at wall (horizontal), floor (horizontal + vertical), and weight. Friction: f = μN. Static equilibrium: all forces balance, all torques balance. Center of mass: point where weight acts.