Mechanics Flashcards
Scalar examples
Power Pressure Time Temperature Volume Distance Energy Speed
Vector examples
Weight Velocity Force Displacement Momentum
How do you give the direction of a resultant force
Angle
What do you do to find the resultant force if forces aren’t perpendicular
Tip-to-tail scale drawing
If a force system is in equilibrium and has two unknown lengths how do you find them
Tip to tail scale drawing
Vectors form a closed shape
No resultant force
How can you solve a system in equilibrium
Tip to tail scale drawing
Equating horizontal and vertical components
Conditions for equilibrium
No resultant force
No resultant moment
What is equilibrium
When there is no resultant force
No resultant momentum
So a stationary object stays stationary or moving object stays moving with a constant velocity
Mass vs weight
Mass is scalar so only has magnitude whereas weight is a vector so has magnitude and direction
Mass is the amount of material in an object whereas weight is the force exerted by gravity on an object
What is the centre of mass
The point through which all the weight is deemed to act
Through which the resultant moment is zero
What is toppling
If the weight vector of an object extends outside of its base it will topple
What happens if an objects weight is exactly on the borderline of the base
Neither topples or returns to its original position
How do you calculate the maximum angle before toppling on an inclined plane
Draw a diagram
Draw a line from centre of object diagonally to edge of corner closes to ground so touching the plane
The lengths of the triangle will be half the height and half the base length/radius
tan-1(radius/half height)
What is a moment
The four multiplied by the perpendicular distance from the line of action of the force to the pivot point
Measured in Nm
Moment formula
M=Fd
Perpendicular distance
Principle of moments
Sum of clockwise moments about any point is the same as the sum of anticlockwise moments about the same point for a body in equilibrium
Uniform
Centre of mass is its physical centre
Consistent density
Couple
A pair of equal and opposite coplanar forces
Which do not act along the same line of action
Torque
Moment of a couple: force multiplied by the perpendicular distance between the lines of action of the forces
Distance
Length of path travelled from start to end
Displacement
Straight line length in a given direction from start to end point
Velocity
Rate of change of displacement
Acceleration
Rate of change of velocity
What is earth’s velocity over a year
0ms²
Circle
Start is the end
Displacement is zero
Gradient of a displacement time graph
Velocity since s/t=v
Gradient of a velocity time graph
Acceleration since v/t=a
How does acceleration act in free fall
Vertically downwards
Suvat that isn’t given
s=vt-1/2at^2
When do you use a suvat
Constant acceleration
When do you use speed=distance/time
Constant velocity