Section 4 - Mechanics Flashcards
Define scalar
Something with only a magnitude
Define vector
Something with a magnitude and a given direction
Give examples of scalars
Mass, temperature, time, length, distance, speed, energy
Give examples of vectors
Displacement, velocity, force, acceleration, momentum
What are the 2 methods of combining vectors?
Scale drawings, Pythagoras and trigonometry
Describe the method of adding vectors together with scale drawings
Draw a scale diagram with a ruler and protractor, then measure the missing side with a ruler and find the missing angle with a protractor
Describe the method of adding vectors together with Pythagoras and trigonometry
Sketch the vectors end to end, draw a line from the tail of the first vector to the tip of the second vector to give the resultant. Can use Pythagoras to get the magnitude, and trig to get the angle
What does the horizontal component equal when an item is travelling at an angle theta to the horizontal?
V cos theta
What does the vertical component equal when an item is travelling at an angle theta to the horizontal?
V sin theta
What do free body force diagrams show?
All forces on a single body
What should a free body force diagram show?
All forces that act on a body, but not the force that it exerts on the rest of the world
What is a moment?
A turning effect of a force
What happens when moments aren’t balanced?
The object will turn
Define a moment
force times the perpendicular distance from the point to the line of action of the force
State the principle of moments
For a body to be in equilibrium, the sum of the clockwise moments about any point equals the sum of anti clockwise moments about the same point
What forces act in a lever?
An effort force acts against a load force by means of a rigid object rotating around a pivot
What is a couple?
A pair of coplanar forces
What are coplanar forces?
Forces of equal magnitude but in opposite directions
What does a couple produce?
No resultant linear force, but does produce a turning effect
Define the moment of a couple?
The size of one of the forces times the perpendicular distance between the lines of action of the forces
Define mass
The amount of matter in it
What does a greater mass lead to in terms of motion?
The greater resistance to a change in velocity
What happens to the mass when the gravitational field changes?
It doesn’t change
What is weight?
A force experienced by a mass due to a gravitational field
The happens to the weight when the gravitational field changes?
It varies
What is the centre of mass?
A point where the mass is thought to be most concentrated
What are the 2 methods of finding the centre of mass?
Symmetry or experiment
How can you find the centre of mass by symmetry?
It is at its centre, and halfway through the thickness
How can you find the centre of mass by experiment?
- Hang the object freely from a point and draw a vertical line downwards from the point of suspension
- Hang the object from a different point and repeat the process
- The COM is where the lines cross
What does the stability of an object depend on?
COM and base area
When will an object topple over?
When the line of action of its weight falls outside its base area
What conditions make an object more stable?
Wider base and low centre of mass