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Complete OCR MEI B A Level Mechanics Minor Summary

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Course
Mechanics Minor

Institution
OCR

The full summary of the OCR MEI B A level Mathematics Mechanics Minor specification. Written by a Cambridge offer-holder and A*A*A* predicted student. Hand-drawn diagrams and detailing included. Differential Equations and Numerical Methods added as a bonus.

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Uploaded on July 30, 2022
Number of pages 27
Written in 2021/2022
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mechanics
a level
mathematics
a level maths
a level
a level maths
a level mathematics
complete
complete summary
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Study Level
A/AS Level
Examinator
OCR
Subject
Mathematics
Unit
Mechanics Minor

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Maths Mechanics
ASSUME g = 9.8
Forces
 Newton’s 2nd law: the resultant force on an object in a given direction equals the mass of
that object multiplied by the acceleration of that object in that direction
 Use the following notation:

 Newton’s 3rd law: if object A exerts a force on object B then object B will exert a force on
object A which is equal in magnitude and opposite in direction
 If there is a resultant force on an object, it is accelerating in that direction, not necessarily
moving in that direction
 Free body force diagram example:

 Weight = the force acting on an object due to gravity
 Reaction force = the force acting opposite and equally to another force as shown in NIII
 Tension = the pulling force transmitted by the means of some one-dimensional continuous
object
o DO NOT NEED TO DOUBLE FOR TOTAL TENSION
 You can group masses and forces if bodies within a system are not accelerating with respect
to each other
o Can combine internal forces where the NIII law pair are within the system
 Cables and strings CANNOT be in thrust as they would just collapse in on themselves- must
be in tension
 Rods can be in tension or thrust

Pulleys
 Important Words
o Light -> string has no weight to account for so tension is the same everywhere
o Inextensible -> acceleration on one mass is equal and opposite to the acceleration
on the other mass
o Smooth -> if the pulley is rough then tension will not be equal throughout the string
o Taught -> if the string wasn’t taught, there wouldn’t be any tension

,SUVAT

 For graphs, if there is an immediate drop or increase, draw a dotted line to connect

Friction
 An object is in limiting equilibrium when the maximum amount of force is being applied
without the object moving and frictional force is at its maximum
o Object at the point of sliding/moving
 F max=μR at limiting equilibrium or sliding (for static objects, F max ≤ μR )
o F max= maximum frictional force
o μ = coefficient of friction
o R = reaction force (take all forces in the direction of the surface into account
including components, not just weight)

 Two objects of different masses can still have the same frictional force as μ may vary
between surfaces
 Cannot have negative acceleration when working with friction as this means the friction
swaps direction

, Projectiles
 Work out horizontal and vertical suvat and work from there
 When throwing a projectile on Earth, horizontal acceleration is 0 and vertical will be -9.8
from upwards direction
 Can split up any forces into horizontal and vertical components as they are like vectors
 Be careful when splitting into components as DISTANCE can also be split

 Equation of trajectory means writing the y distance travelled in terms of the x distance like a
line equation

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