Y1: Mechanics Flashcards
What is a scalar quantity
A value with magnitude, but no direction
What are some examples of scalar quantities
- Length/distance
- Speed
- Mass
- Temperature
- Energy
What is a vector quantity
A value with both magnitude and direction
What are some examples of vector quantaties
- Displacement
- Velocity
- Force (eg. Weight)
- Acceleration
- Momentum
How do you resolve the horizontal component of a vector
Vx = VCosθ
How do you resolve the vertical component of a vector
Vy = VSinθ
What is a free body diagram
Shows the forces acting on an object, but not the forces it exerts on others
How do you know if a system is in equilibrium
- Forces on the free body diagram will form a closed vector triangle
- Both the vertical and horizontal components will have a sum of 0
What is a moment
The turning effect of a force about a pivot
What is the equation for a moment
M=FCosθs
FCosθ: force acting perpendicular to the pivoting rod
s: distance between the force and the pivot
What is the principle of moments
When balanced, the total clockwise moments must be equal to the total anticlockwise moments
What is a couple
A pair of forces acting in opposite directions about a pivot
What is torque
the moment of a couple
What is the equation for torque
𝛕=FdCosθ
FCosθ: force acting perpendicular to the pivoting rod
d: distance between the two forces
What is the centre of mass of an object
The single point where all the weight can be considered to act through, when the object is in any orientation
What is speed
How fast something is moving, in no given direction
What is displacement (s)
How far an object travels from it’s starting point in a given direction (meters)
What is velocity (u/v)
The rate of change of an objects displacement (speed with a direction (ms^-1)
What is acceleration (a)
The rate of change of an objects velocity (ms-2)
What are the 5 SUVAT equations
v = u + at
s = 1/2(v+u)t
s = vt - 1/2(at^2)
s = ut + 1/2(at^2)
v^2 = u^2 + 2as
How is velocity shown on a displacement-time graph
Gradient
How is acceleration shown on a displacement-time graph
Rate of change of gradient (i.e. if straight line, a=0)