Year 2 — Term 2
10 study notes · 70 practice questions · Aligned with NIE syllabus
Counted in the Idasara Academy app, which you open with a free account. The free notes, revision, practice and library pages for each lesson are linked below.
Lessons in This Term
Systems of coplanar forces
In mechanics, a particle is an idealized body that possesses mass but has negligible dimensions, meaning its size and shape are ignored.
Systems of coplanar forces (statics)
A rigid body is a body in which the distance between any two points remains unchanged when it is subjected to external forces of any magnitude.
Stresses in the rods of a framework
The Concept of an Inverse Function: An inverse function 'undoes' the action of the original function, mapping the output of the original function back to its original input.
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Create Free AccountCentre of mass of uniform bodies
The centre of mass (centre of gravity in a uniform gravitational field) of a rigid body is the unique point at which the entire mass of the body may be considered concentrated for translational dynamics: r_G = (∑ m_i r_i) / (∑ m_i).
Centre of mass by integration
For continuous bodies, the centre of mass is obtained by integrating element mass moments over the body: x̄ = (∫ x dm) / (∫ dm).
Centre of mass of composite bodies
The centre of mass of a composite body assembled from multiple sub-bodies is determined using the Principle of Moments: M_total X_G = ∑ m_i x_i, where M_total = ∑ m_i.
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Create Free AccountCentre of gravity
The Centre of Gravity (CG) of a body is the single point where the entire weight of the body appears to act.
Stability of bodies in equilibrium
The equilibrium of a body subjected to conservative forces is classified into three states based on its behavior following an infinitesimal displacement: (1) Stable Equilibrium: The body generates restoring forces that return it to its original position (potential energy V is a minimum, dV/dθ = 0 and d²V/dθ² > 0); (2) Unstable Equilibrium: The body moves further away from equilibrium (V is a maximum, dV/dθ = 0 and d²V/dθ² < 0); (3) Neutral Equilibrium: The body remains in equilibrium in the adjacent displaced position (V is constant, d²V/dθ² = 0).
Angle of inclination of suspended bodies
When a rigid body is suspended freely from a fixed pivot point O, it attains static equilibrium under two forces: the tension/reaction at O and the body's total weight W acting vertically downwards through its centre of mass G.
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Create Free AccountNewtonian model of motion
Describing Motion: Distance is the total path length covered by an object, a scalar quantity. Displacement is the shortest straight-line distance from the initial to the final position, a vector quantity.