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02 Mechanics BY HEI MAN KWOK
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2.1 KINEMATICS
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Definitions Displacement: distance moved in a particular direction – vector; SL Unit: m; Symbol: s Velocity: rate of change of displacement (has a direction) – vector; SL Unit: ms¯¹; Symbol: v or u Speed: rate of change of distance – scalar; SL Unit: ms¯¹; Symbol: v or u Acceleration: rate of change of velocity (change of direction or velocity) – vector; SL Unit: ms¯²; Symbol: a
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Instantaneous vs Average Instantaneous: at a particular point in time Average: taken over a period of time AverageInstanteous Speed Velocity AccelerationDoesn’t exist
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Conditions of SUVAT/ Uniformly Accelerated Motion
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Free-fall
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Sketch + label, calculate and interpret Distance - time Displacement – time Velocity – time Acceleration – time Eg. Bouncing ball and free-fall
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Relative Velocity in 1D and 2D
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9.1 PROJECTILE MOTION
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2.2 FORCES AND DYNAMICS
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Weight (a type of force) Weight = mass x gravity W = mg W = mass x 9.81
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Forces Force in Newtons (N); a vector quantity 1.Tension 2.Contact (Normal if at 90 degrees) 3.Weight 4.Friction 5.Upthrust 6.Air resistance
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Determining Resultant Force Use sin cos tan and phytagorous if needed Make sure the forces are only in opposite directions before final calculation
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Newton’s First Law of Motion A body will remain at rest or moving with constant velocity unless acted upon by an unbalanced force Eg. Mass on a string, parachutist,
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Translational Equilibrium All forces are balanced Center of force will not move however the mass can rotate around the center
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Newton’s Second Law of Motion
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Linear Momentum and Impulse
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Force-time graph
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Law of Conservation of Linear Momentum Linear momentum is conserved (always the same) for a system of isolated bodies without any external forces acting upon the two objects
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Newton’s Third Law of Motion
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2.3 WORK, ENERGY AND POWER
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Work Work done = force x distance moved in the direction of the force If displacement is not in the direction of the force – change one of them Interpret a force – displacement graph
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Energy and Principle of Conversation of Energy Energy is the quantity that enables body A to do work on body B When body A does work on body B, energy is transferred from body A to body B (be able to describe energy transformation) Principle of Conversation of Energy – Energy cannot be created nor destroyed – it can only be changed and transferred from one form to another
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Kinetic Energy and Gravitational Potential Energy
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Elastic and Inelastic Collisions Elastic Collisions: KE and mv (p) are conserved Inelastic Collisions: two bodies stick tgt and according to the law of energy conservation; wd squashing the balls = energy lost as KE Eg. Explosion – energy to initiate an explosion comes from the chemical energy contained in the explosive = energy gained in KE of the ball
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Power and Efficiency
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2.4 UNIFORM CIRCULAR MOTION
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