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
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  • 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.

Comments

Antonia W

Good stuff! :)

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