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Centre of Gravity
Point where weight acts on an object.
Stability
Object's resistance to toppling based on center of gravity.
Stable Object
Centre of gravity above its base.
Unstable Object
Centre of gravity not above its base.
Wide Base
Lower centre of gravity increases stability.
Narrow Base
Higher centre of gravity decreases stability.
Centre of Mass
Point representing average position of mass.
Gravitational Field
Region where a mass experiences a force.
Moment
Turning effect produced by a force.
Pivot
Fixed point around which rotation occurs.
Moment Equation
moment = Fd (N m) where F is force.
Perpendicular Distance
Shortest distance from pivot to line of force.
Force at Angle
Use perpendicular component for moment calculation.
Everyday Example of Moments
Opening a door maximizes distance for force.
Turning Moment Calculation
Moment calculated using weight and distance from pivot.
Weight of Ruler
Assumed negligible in moment calculations.
Human Centre of Gravity
Shifts with body orientation and weight distribution.
Symmetrical Objects
Centre of gravity at point of symmetry.
Centre of Gravity in Space
Closer to larger gravitational field object.
Toppling
Occurs when centre of gravity is misaligned with base.
Moment in Newton Metres
Unit of measurement for turning effect.
Force in Newtons
Unit of measurement for applied force.
Distance in Metres
Unit of measurement for distance from pivot.
Force of Weight
Weight calculated as W = mg.
SI Unit of Mass
Mass measured in kilograms (kg).
Weight Calculation
W = 0.5 kg × 9.81 m/s².
Torque
Moment of a couple, τ = Fd.
Couple
Two equal, opposite forces producing rotation.
Resultant Force of a Couple
Zero net force, no acceleration occurs.
Line of Action
Line through the point of force application.
Torque Equation
τ = Fd, where d is perpendicular distance.
Significant Figures
Use more figures to avoid rounding errors.
Turning Effect
Caused by forces acting at a distance.
Torque of Steering Wheel
Calculated using τ = Fd for forces applied.
Ruler Torque Example
Torque calculated with equal forces at ends.
Force Component
Perpendicular component used for torque calculation.
Angle in Torque Calculation
Consider angle to find perpendicular force component.
Torque in Newton Metres
Torque measured in N m.
Diagram Importance
Sketching helps visualize forces and distances.
Force Magnitude
Magnitude of force affects torque value.
Couple Characteristics
Equal forces, opposite directions, perpendicular distance.
Newton's Second Law
F = ma, relates force, mass, and acceleration.
Calculation Rounding
Round final answer, not intermediate results.
Torque Calculation Steps
List quantities, state equation, substitute values.