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508260
Mathematics: Mechanics 2
Description
Absolutely everything you need to cover in OCR Mechanics (M2). With links to revision notes on each sub-topic.
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a-level
m2
maths
maths
m2
a-level
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declanlarkins
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Created by
declanlarkins
almost 11 years ago
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Copied by
declanlarkins
almost 11 years ago
Copied by
declanlarkins
almost 11 years ago
Copied by
declanlarkins
almost 11 years ago
Copied by
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Resource summary
Mathematics: Mechanics 2
Centre of Mass
Attachments:
Mechanics 2: Centre of Mass
Mathematics: Mechanics 2 (Notes 1 of 2)
Identify position using symmetry
Determine position of centre of mass of a composite body
The effect of gravity is equivalent to a single force acting at the centre of mass
Use given information about the position of the centre of mass (in formula book)
Equilibrium of a rigid body
Equilibrium means
The vector sum of the forces is zero
AND the sum of the moments of the forces about any point is zero
Solve problems including toppling and sliding
Calculate the moment of a force
Motion of a Projectile
Use equations of motion (horiz and vert) to solve problems
Finding range on a horizontal plane
Finding greatest height
Magnitude and direction of velocity at a point
Derive and use the equation of trajectory of a projectile
Model the motion as a particle with constant acceleration
Understand assumptions made
Uniform Motion in a Circle
Solve problems involving a particle moving in a horizontal circle
Acceleration and force of a particle moving in a circle with constant speed is towards the centre of the circle
Annotations:
a=r\(\omega^2\) a=\(\frac{v^2}{r}\)
Understand angular speed
Annotations:
v=r\(\omega\)
Coefficient of Restitution; Impulse
Newton's experimental law
Two smooth spheres
Smooth sphere and surface
Define coefficient of restitution
Perfectly elastic e=1
Inelastic e=0
Impulse as change in momentum
Using momentum = mv only
Energy, Work and Power
Work done by a force = force x distance moved PARALLEL to force
Gravitational potential energy
Kinetic energy
Relationship between the change in energy of a system and the work done by external forces
Use conservation of energy rule
Define power as rate at which work is done
Power = force x velocity
Solve problems including work done by resistance
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