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1.2.3 Equilibrium. Objective. Draw and use a triangle of forces to represent the equilibrium of three forces acting at a point on an object. Forces. Make a list of all the different types of forces you can think of: Pushes and pulls Weight Friction Drag Upthrust Contact/Reaction Force
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Objective Draw and use a triangle of forces to represent the equilibrium of three forces acting at a point on an object
Forces Make a list of all the different types of forces you can think of: • Pushes and pulls • Weight • Friction • Drag • Upthrust • Contact/Reaction Force • Tension Write a sentence or two about each force, with examples
Triangle of Forces • Consider the Worked Example on page 61 of “Physics 1”
Turning Forces Explain that a couple is a pair of forces that tends to produce rotation only Define and apply the torque of a couple Define and apply the moment of force
Couple • A couple occurs when two forces are equal and opposite to each other, but are not in the same straight line • Upward force balances downward force • Resultant equals zero • Tend to produce rotation
Couple - definition • A couple is a pair of equal and parallel but opposite forces, which tend to produce rotation only x x
Torque • Describes the turning effect of a couple • Measured in Newton metres • Used to describe turning forces e.g. car engines torque = one of the forces x perpendicular distance between the forces 6 N torque = force x perp. distance = 6 N x 2 m = 12 Nm 2 m 6 N
Moment of a Force • The moment of a force is the turning effect of a single force • Measured in Newton metres • Principle of Moments states that: • For a body in rotational equilibrium, the sum of the clockwise moments equals the sum of the anticlockwise moments x F p x p F
Moment of a Force - definition • The moment of a force is the force multiplied by the perpendicular distance from a stated point
Example A wheelbarrow is loaded as shown • Calculate the force that the gardener needs to exert to hold the legs off the floor • What force is exerted by the ground on the legs of the barrow (taken both together) when the gardener is not holding the handles? 0.20m 400N 0.50m 1.20m
Questions • Physics 1 • SAQ 5.4 to 5.8 • Page 70 question 4
Density Select and use the equation for density ρ = m/V
Density Density = mass volume where density (ρ) is in kg m-3 mass (m) kg volume (V) m3 rho
Density • Density of solids and liquids varies little with temperature • Density of gases varies considerably
Pressure Select and use the equation for pressure – p = F/A where F is the force normal to the area A
Pressure Pressure = force area normal to force where pressure (p) is in Pa or N m-2 force (F) N area (A) m2
Pressure at a depth in a fluid volume = Ah mass m = Ahρ weight = mg = Ahρg = force F pressure on base of column = Ahρg / A = hρg A h Liquid of density ρ
Floating For equilibrium, force upward = weight downward So, • calculate force upward from weight downward
Questions AS Physics 1 • Page 69 • Questions 1, 2 & 3 Assessment • Chapter 5 worksheet • EoC Test – Chapter 5