Section 4 - Mechanics Flashcards
Scalars vs Vectors
Scalars have only magnitude
Vectors have both magnitude and direction
Examples of Scalars
Mass, temperature, time, length, distance, speed, energy
Examples of Vectors
Displacement, velocity, force, acceleration, momentum
Two methods of adding vectors
Scale drawings, Trig
Adding vectors using scale drawings
Draw the vectors tail to tail and then connect the ends with the resultant vector
Measure the magnitude and angle (from the north vector)
Adding vectors using trig
Vectors at right angles can be used to form a triangle, use trignomenty to find the resultant magnitude and angle
Trig
SOH CAH TOA
Resolving vectors
Using trignometry to split a vector into vertical and horizontal components
What should free body diagrams include
The diagram should only include all the forces that act ON the object
If a body is in equilibrium…
The forces acting on it are balanced in each direction
Three coplanar forces in equilibrium
You can draw a closed loop triangle
Moment def
A moment is the turning effect of a force
Components of a lever
Effort, Load and Pivot
Principle of Moments
The principle of moment states that for a body to be in equilibrium, the sum of the clockwise moments about any point equals the sum of the anticlockwise moments about the same point
Moment formula
M=f*d
A couple of forces
A pair of coplanar forces of equal size which act parallel to each other but in opposite direction
Moment of a couple
size of one force * perpendicular distance between the line of action of the forces
Weight def
The force acting on an object due to its mass and the gravitational field
Weight formula
Mass*g
Centre of mass def
A single point though which the mass of the object acts
Finding the centre of mass of a regular polygon
Lines of symmetry
Steps for finding the centre of mass of an irregular object
1) Hang the object freely from one point
2) Draw vertical lines downwards from the point of suspension (using a plumb blob)
3) Repeat by hanging from different points
4) The centre of mass is the intersection of points
Stability of an object
If the centre of mass lies above the base of the object, it will be stable
How can the stability of an object be increased
Using a lower centre of mass and a wide base
Speed def
How fast something is moving, regardless of direction
Displacement def
How far an objects travelled from its starting point in a given direction
Velocity def
The rate of change of an objects displacement
Acceleration def
The rate of change of an objects velocity