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3.1 Balanced and Unbalanced Forces

3.1 Balanced and Unbalanced Forces

Forces •  Newton’s first law of motion states that an object at rest will remain at rest and an object in motion will continue in motion at constant speed in a straight line in the absence of a resultant force acting on it

Balanced Forces •  Newton’s first law of motion implies that when no resultant force acts on a body, the body will continue with whatever motion it has •  If it is at rest, it will remain at rest •  If it is moving, it will continue moving at constant speed in a straight line

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3.1 Balanced and Unbalanced Forces

Balanced Forces

Balanced Forces

•  Rock at rest, net force acting on it must be zero. •  Weight of rock acting downwards. •  So there must be a second force pushing it upwards. •  This second force is the reaction of the table and it balances the weight of the rock.

•  The weight of the aircraft is balanced by the lift from the wings, so the aircraft flies at constant height. •  Air resistance encountered on moving forward is balanced by the thrust of the engines, so the velocity of the aircraft is constant.

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3.1 Balanced and Unbalanced Forces

Balanced Forces

Balanced Forces •  When the forces acting on an object are balanced, the object is either at rest or moving with uniform velocity.

•  A falling object will reach a point when air resistance = weight. •  Object falls with terminal velocity. •  Resultant force acting on it is zero. •  No resultant force does not mean that no forces act on body. •  It means all forces are balanced.

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3.1 Balanced and Unbalanced Forces Unbalanced Forces •  If the forces on an object are unbalanced, there will be a resultant force acting on it and changing its velocity.

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3.1 Balanced and Unbalanced Forces •  A resultant force will cause (i) a stationary object to move (ii) a moving object to –  stop –  move faster –  slow down –  change direction

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3.1 Balanced and Unbalanced Forces

•  Newton’s second law of motion states that the resultant forces acting upon an object is equal to the product of the mass and the acceleration of the object. •  The direction of the force is the same as that of the object’s acceleration.

•  Force = mass ! acceleration •  F = ma •  SI unit for force is the newton (N) •  One newton (N) is defined as the force which produces an acceleration of 1 m s!2 when it is applied to a mass of 1 kg. •  1 N = 1 kg m s!2 a = 1 m s–2 1 kg

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3.1 Balanced and Unbalanced Forces Resultant Forces •  When several forces act on an object, these forces can be replaced with a single resultant force.

Resultant force

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3.1 Balanced and Unbalanced Forces Resultant Forces (Cases of Parallel Forces) •  For cases of parallel forces, the magnitude of the resultant force can be calculated by simple addition or subtraction

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1. When forces acting on an object are balanced(or no resultant forces are acting on an object): (a) If it is at rest, it will remain at rest. (b) If it is moving, it will continue moving at constant speed in a straight line. 2. When the forces on an object are unbalanced, a resultant force acts on the object and it accelerates (or decelerates).

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3.2 Free-body Diagram Action and Reaction •  Newton’s third law of motion states that for every action there is an equal and opposite reaction

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3.2 Free-body Diagram

3.2 Free-body Diagram

Action and Reaction •  If object A exerts a force on object B, then B exerts an equal but opposite force on A •  Action and reaction act on different objects.

Free-body Force Diagrams •  According to Newton’s 3rd law, forces always occur in pairs with one force acting on a body, and an equal and opposite force acting on another body. •  If both forces and bodies are drawn in the same diagram, it can cause confusion about which force acts on which body. •  A free-body force diagram shows forces acting on a single body only.

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3.3 Friction 1. For every action there is an equal and opposite reaction 2. Action and reaction forces act on different objects 3. A free-body force diagram shows the forces that act on a single body 4. The resultant of 3 or more forces that act on an object can be determined using vector addition 5. When the 3 forces that act on an object are balanced the object will not accelerate. The 3 forces will form a closed triangle.

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Friction as a Useful Force •  Friction is needed for walking and rolling •  No friction will cause slip

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3.3 Friction

Friction as a Nuisance •  Friction causes surfaces to heat up, results in wear and tear. •  In machinery, friction reduces efficiency as large amount of energy wasted as heat. •  Much research carried out in industries on ways to reduce friction.

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Ways to reduce friction: •  Moving parts made as smooth as possible •  Materials with very low frictional resistance is used •  Ball and roller bearings are placed between moving parts •  Surfaces separated by lubricant •  Surfaces separated by air cushion

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3.3 Friction

Frictional force between two surfaces on a horizontal plane: •  Depends on material in contact •  Depends on roughness of surfaces •  Is proportional to the force pressing the surfaces together •  Is independent of the area of contact

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1. Friction is a force that opposes sliding motion between two surfaces in contact. 2. For a body on a horizontal plane, the frictional force depends (a) the nature of the contact surfaces (b) the weight of the body 3. Friction does not depend on the area of contact of the surfaces.

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Questions •  What happens when there is no resultant force on a body? •  How are force and acceleration related? •  How can an object move if action equals reaction? •  Is friction a useful force or a nuisance?

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3.1 Balanced and Unbalanced Forces 3.1 Balanced ...

3.1 Balanced and Unbalanced Forces. Balanced Forces. • Newton's first law of motion implies that when no resultant force acts on a body, the body will continue with whatever motion it has. • If it is at rest, it will remain at rest. • If it is moving, it will continue moving at constant speed in a straight line. Dynamics.

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