Mechanics Flashcards
What is a scalar quantity?
A quantity that has no direction (just an amount)
What is a vector quantity?
A quantity that has magnitude and direction
Give 4 examples of scalar quantities
Mass
Temperature
Energy
Distance
Give 4 examples of vector quantities
Acceleration
Velocity
Momentum
Displacement
What is a bearing?
A 3-digit angle that is measured clockwise from north in degrees
How do you find the resultant vector?
By adding 2 or more vectors together
How do you find the resultant vector from a scale diagram?
Drawing a scale diagram with all the vectors joining in one line (tip-to-tail), then measuring the length and angle of the resultant vector from the diagram
What is displacement?
The position relative to the start position
What does cos60 and sin30 equal?
0.5
What is an inclined plane?
A slope
Which direction does weight always act?
Downwards
What is happening when is a body is in equilibrium?
All the forces are balanced (no resultant force)
What 2 states can an object in equilibrium be at?
Rest or moving with constant velocity
When only 2 forces act on an object, what do they have to be for the object to be in equilibrium?
Equal and opposite (opposite direction)
When forces act on an object in equilibrium, what do they form if you draw them tip-to-tail in a scale diagram?
Form a closed loop (a vector triangle)
What is the magnitude of a vector?
The size of it (without direction)
What is a moment of a force?
The turning point of a force around a point
What are 2 moments of equal size acting parallel to each other called?
A couple
What is the mass of an object defined as?
The amount of matter in it
What is inertia?
A resistance to a change in motion
What happens to the inertia if an objects mass is increased?
The greater the resistance to a change in motion will be (larger inertia)
What is weight and what is it measured in?
A force measured in newtons
Define weight
The force experienced by a mass due to gravity
What equation links weight, gravity field strength and mass
W=mg
Is weight a scalar or vector quantity?
Vector as it has size and direction
What 2 things does the moment of a force depend on?
Size of the force and how far the force is applied from the turning point
What equation links moment, force and perpendicular distance from the turning point?
M = fd
What does the principle of moment state for a body to be at equilibrium?
The sum of the clockwise moments about any point equals the sum of the anti-clockwise moments at the same point
What will happen to an object if the moments aren’t balanced?
The object will turn
How do levers work?
An effort force acts against a load force by means of a rigid object rotating around a pivot
What situations are levers useful in?
If you need a larger turning effect
Give 3 examples of levers
Spanners
Wheelbarrows
Scissors
How does a spanner (or any other lever) work?
They increase the distance from the pivot a force is applied, so you need less force to get the same moment
What does ‘Σ’ mean?
The sum of
What is a couple?
A pair of forces of equal size which act parallel to each other, but in opposite directions
What does a couple cause?
A turning effect (moment), doesn’t cause any resultant linear force
What is an object’s centre of mass?
The single point that it’s whole weight acts through (whatever the orientation)
What will an object at centre of mass do?
Balance
For a uniform regular solid, where is the centre of mass?
In the centre
What are the 4 steps to find an objects centre of mass?
- Hang the object freely from a point
- Draw a vertical line downwards from the point of suspension
- Hang the object from a different point and draw a line downwards
- Centre of mass is where the 2 lines cross
Why will an object topple over?
If the line of action of its weight falls outside it’s base area
Why does it cause an object to topple over if the line of action of its weight falls outside it’s base area?
A resultant moment occurs, which provides a turning force
What cause an object to be less stable?
If the centre of mass is higher, and there is a small base area
What makes an object very stable?
If it has a low centre of mass and a wide base area
If an object is being held up on supports (e.g. a chair), why is the force acting on each support not the same?
the closer the centre of mass is to a support, the stronger the force on that support
What is speed?
How fast something is moving, regardless of direction
What is displacement?
How far an object has travelled from its starting point in a given direction
What is velocity?
The rate of change of an object’s displacement (it’s speed in a given direction)
What is acceleration?
The rate of change of an object’s velocity
What does the U mean in the SUVAT equations?
Initial velocity (ms^-1)
In displacement-time graphs, what is plotted on the Y-axis?
Displacement
What does the gradient of a displacement-time graph show?
Velocity
What does a steeper gradient in a displacement-time graph mean?
A bigger acceleration
What is the equation linking velocity, change in displacement and time taken?
Velocity = Change in displacement / Time taken
What is an object’s instantaneous velocity?
It’s velocity at a particular moment in time
How did you find the instantaneous velocity of an object from a displacement-time graph?
At a given point, draw a tangent to the graph and find the gradient of it
What is the average velocity?
The total change in displacement of the object divided by the total time taken
What does the gradient of a velocity-time graph?
Acceleration
What does a steeper gradient on a velocity-time graph mean?
A greater acceleration
What is the difference between velocity-time graphs and speed-time graphs?
Velocity-time graphs can have negative regions to show something travelling in the opposite direction
What is the area under a speed-time graph equal to?
Distance travelled
What does a straight line on a velocity-time/speed-time graph represent?
A uniform acceleration or deceleration
When is a situation where you can’t use the SUVAT equations?
If the acceleration isn’t constant
How do you find the acceleration at a point on a velocity-time graph with changing acceleration?
Draw a tangent at that point and find the gradient of the tangent
What are 3 main advantages of using dataloggers over traditional methods?
The data is more accurate as you don’t have to allow for human reaction times
Automatic systems have a much higher sampling rate than humans
You can see the data displayed in real time
What does the height at any point on an acceleration-time graph show?
The acceleration at that time
What does it mean if a=0?
Constant velocity