# Mechanics (M1) Mindmap

A mindmap outlining the core knowledge needed for and Edexcel Mechanics 1 exam.

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• Created by: Keryn
• Created on: 11-05-13 14:02
• M1 Revision Mindmap
• Kinematics
• SUVAT
• v=u+at
• s=(u+v)/2 x t
• s=ut+1/2 at^2
• v^2=u^2+2as
• State which direction is positive.
• Take care with +ve's and           -ve's
• gravity= 9.8ms^2
• Only use when a is constant.
• Velocity-time graphs.
• Slope= acceleration
• Area= distance travelled.
• If people meet they have travelled the same distance.
• Can use SUVAT when acceleration is uniform.
• Statics
• Forces.
• 1N causes 1kg to accelerate at 1ms^2.
• force = mass x acceleration
• Weight is the force due to gravity / N.
• Resultant forces
• Resolve ^ and > then Pythagoras.
• Forces on an inclined palne.
• Resolve perpendicular and parallel to the plane.
• Resolved component = fcosx
• cos(90-x) = sinx
• apply f=ma when moving, f=ur when in limiting equilibrium (point of moving).
• Dynamics
• Momentum
• Conservation of momentum:      momentum before= momentum after
• Impulse= final momentum -initial momentum
• Ns
• momentum= mass x velocity
• Ns
• Connected Particles.
• Resolve in direction of motion.
• accelerations and tensions are equal.
• Consider each particle separately, unless towing.
• If string becomes slack.
• On inclined plane:          no tension so accelerations different. Resolve ^ again.
• Projectile - SUVAT.
• Moments
• Resolve ^ or take moments (force x distance) about a point to eliminate a force.
• May need simultaneous equations.
• If rod is about to tiklt, one support force will be 0.
• Vectors
• Have a magnitude  and direction.
• Are represented by a line showing its magnitude as length.
• An arrow is also important to show the direction of the vector.
• Notation
• O->C= bold c underlined
• Vector i =east, Vector j=north.
• Subtraction rule:    BC=OC-OB
• Addition rule: OF+FG=OG
• position vector at time t=(original position vector)  +            t  (velocity vector)
• collide if same position vector at same time.
• speed= magnitude of velocity vector
• Use Pythagoras.
• Parallel
• multiple, use  k and find factor multiplied by. speed of 5->8=x1.6
• bearing =SOH CAH TOA
• Assumptions
• Pulley is smooth.
• No friction therefore the tensions in all parts of the string are equal.
• String is in-extensible.
• The string doesn't change length so the accelerations and velocity of both particles are equal.
• String/ pulley is light.
• adds no weight to the system do acceleration is constant throughout the motion.
• Surface is smooth.
• No friction.
• Air projectile q's.
• Assume that acceleration due to gravity is 9.8. Must ignore air resistance.
• Object is a particle.
• No size so weight acts at one point only, also no air resistance.
• Rod
• Straight and doesn't bend, all forces remain perpendicular.
• Uniform rod.
• Weight acts at the centre of the rod.

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