Mechanics Flashcards
What is a scalar
A quantity which only has magnitude (size)
What is a vector
A quantity which has both a magnitude and a direction
Displacement
Describes how far an object is from where it started and in what direction
Examples of scalars
Distance
Speed
Mass
Time
Energy
Temperature
Examples of vectors
Displacement
Velocity
Acceleration
Force
Momentum
What are vectors represented by
An arrow
Length represents magnitude and arrowhead indicated direction
When can you use calculation to add vectors
IF the vectors are perpendicular, so you can use pythagoras theorem
When can you use scale drawings to add vectors
When the vectors are not perpendicular
How can coplanar forces be represented
By vector triangles
When are forces in equilibrium
If the object is at rest or moving at constant velocity
Moment
Force x perpendicular distance from the point to the line of action of the force
Couple
Pair of equal and opposite coplanar forces
Moment of couple
Force x perpendicular distance between the lines of action of the forces
SI unit for moment
Nm
Principle of moments
For a system to be in equilibrium, the sum of clockwise moments about a point must be equal to the sum of the anticlockwise moments (about the same point)
Forces up =
Forces down
Coplanar forces
Pair of forces that are :
Equal in magnitude
Opposite in direction
Perpendicular to the distance between them
NOT IN THE SAME LINE OF ACTION !!
Why do objects with a couple not accelerate
Couples produce a resultant force of zero, so, due to Newton’s second law, the object does not accelerate
Centre of mass
The point at which the the weight of the object may be considered to act
Where is the position of the centre of mass of a uniform regular solid
At the centre e.g for a person standing up it is behind the navel
Where is the centre of mass for symmetrical objects with uniform density
At the point of symmetry
What does the position of the centre of mass of an object affect
Its stability
What happens to the centre of mass and the stability of an object if the base is wider
Lower centre of mass
More stable
What happens to the centre of mass and stability of an object if the base is narrower
Higher centre of mass
Less stable (more likely to topple over)
What does the centre of GRAVITY depend on and why
The gravitational field because weight = mass x acceleration due to gravity.
Therefore an object in spaces’ centre of gravity will be more towards object with larger gravitational field
Instantaneous velocity/speed
The speed/velocity of an object at any given point in time
How to find instantaneous velocity on a displacement-time graph
Draw a tangent to the curve and calculate its gradient
Average speed
The total distance divided by the total time
Gradient of a displacement-time graph
Velocity
Y intercept on displacement-time graph
Initial diplacement
What does a diagonal straight line represent on a displacement-time graph
Constant velocity
What does a curved line represent on a displacement-time graph
Acceleration
What does the horizontal slope represent on a displacement-time graph
State of rest
What does the slope on a velocity-time graph represent
Acceleration
What does the y-intercept on a velocity-time graph represent
Initial velocity
What does a straight line on a velocity-time graph represent
Uniform acceleration
What does a curved line on a velocity-time graph represent
Non-uniform acceleration
What does a horizontal line on a velocity-time graph represent
Motion with constant velocity