Mechanics 1 Revision

Thesse are the key points of the mechanics 1 syllabus.

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Mechanics 1 ­ Maths Revision.
Kinematics of a particle.
The 4 Constant acceleration equations are:
o V=u+at.
o S=(u+v)divided by 2 times t.
o V squared = u squared + 2as.
o S = ut + Half a times t(squared).
The gradient of a speed time graph represents the acceleration
The area under a speed time graph represents the distance moved.
Speed equation = Speed = Distance divided by time.
Dynamics of a particle.
Resultant Force equals Mass times Acceleration.
Weight is equal to mass times gravity.
Maximum friction is equal to the coefficient of friction times the normal reaction.
The momentum of a body is mass times velocity.
Impulse equals Final momentum minus Initial momentum.
Conservation of momentum states that total momentum before impact is equal to the total
momentum after impact.
Friction always opposes the direction of motion.
Statics of a particle.
To solve these problems you should draw a force diagram resolving the forces into vertical
and horizontal components.
Moments equals perpendicular force times distance.
The unit for moments is Newton meters.
For the rod to be in equilibrium the clockwise and anticlockwise moments must be equal.
A uniform rod has its centre of mass at the geometrical centre of the rod.
A vector has both direction and magnitude.
To find the speed of a vector you use Pythagoras theorem.
The gradient of a speed time graph is the acceleration.
The area under a speed time graph is the distance travelled.

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The units for tension are Newton's.
The unit for moments is Newton meters.
The unit for impulse is Newton seconds.
Key points
If two particles are moving along the same straight line you can treat the system as one
whole particle.
However if they are moving along different lines then you can not treat the whole system as
one particle.…read more


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