# Mechanics (M1) Mindmap

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

Teacher recommended

?- 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.

- SUVAT
- 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).

- Forces.
- 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.

- Resolve in direction of motion.

- Momentum
- 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.

- Pulley is smooth.

- Kinematics

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