Сборник материалов для подготовки к экзамену по Further Mechanics (Cambridge International Examinations (CIE) , syllabus number 9231)
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Сборник материалов для подготовки к экзамену по Further Mechanics (Cambridge International Examinations (CIE) , syllabus number 9231)

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16.05.2018
Chapter 5: Simple harmonic motion Made by Oleksii Khlobystin (o-khlobystin@yandex.com)
5. Simple harmonic motion.pdf

Simple harmonic motionrecall a definition of

Simple harmonic motionrecall a definition of

ANGULAR SHM Given a fixed line

ANGULAR SHM Given a fixed line

Therefore dt — n dt a'

Therefore dt — n dt a'

This is the periodic time (or period of oscillation),

This is the periodic time (or period of oscillation),

Properties of Simple Harmonic Motion

Properties of Simple Harmonic Motion

Equation [21 also shows that v = 0 when x = so the particle oscillates bctwccn two points

Equation [21 also shows that v = 0 when x = so the particle oscillates bctwccn two points

The diagram shows a particle P travelling at a constant angular velocity round a circle with centre

The diagram shows a particle P travelling at a constant angular velocity round a circle with centre

The angular velocity of P is radians per second

The angular velocity of P is radians per second

Note that v can either positive or negative

Note that v can either positive or negative

An oscillation is the journey from

An oscillation is the journey from

This relationship, discovered in the seventeenth century, by

This relationship, discovered in the seventeenth century, by

Hookú Energy Spring at natural length a

Hookú Energy Spring at natural length a

An elastic string of natural length 41 and modulus of elasticity 4mg is stretched between two points

An elastic string of natural length 41 and modulus of elasticity 4mg is stretched between two points

Two seconds after being released from rest

Two seconds after being released from rest

Сборник материалов для подготовки к экзамену по Further Mechanics (Cambridge International Examinations (CIE) , syllabus number 9231)

Сборник материалов для подготовки к экзамену по Further Mechanics (Cambridge International Examinations (CIE) , syllabus number 9231)

A piston P a machine moves 111 a straight

A piston P a machine moves 111 a straight

P moves along a straight line

P moves along a straight line

A particle P of mass m is attached to one end of a light elastic string of modulus of elasticity and natural length l

A particle P of mass m is attached to one end of a light elastic string of modulus of elasticity and natural length l

Сборник материалов для подготовки к экзамену по Further Mechanics (Cambridge International Examinations (CIE) , syllabus number 9231)

Сборник материалов для подготовки к экзамену по Further Mechanics (Cambridge International Examinations (CIE) , syllabus number 9231)

A particle P of mass m moves on an arc ot a circle with centre

A particle P of mass m moves on an arc ot a circle with centre

Сборник материалов для подготовки к экзамену по Further Mechanics (Cambridge International Examinations (CIE) , syllabus number 9231)

Сборник материалов для подготовки к экзамену по Further Mechanics (Cambridge International Examinations (CIE) , syllabus number 9231)
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