Mechanics Flashcards
What is Equilibrium?
Where the forces and moments acting on an object are equal
Define vector and scalar.
Vector = direction and magnitude Scalar = magnitude
Give examples of vectors.
Velocity, acceleration, force.
Give examples of scalars.
Mass, density, volume, energy, distance.
What are the two methods for the addition of vectors?
Scale drawing or calculation.
How do you add vectors by scale drawing?
- Decide on suitable scale (1N=1cm)
- Draw 1st vector in correct direction and length (protracted and ruler)
- Draw 2nd vector with its tail on the nose of the 1st (correct direction and length)
- Result is found by drawing a line from the tail of 1st to nose of 2nd
Does the order you draw vectors for scale drawing matter?
No
For what vectors can you calculate instead of drawing?
Vectors at right angles.
How do we calculate the addition of vectors?
Pythagoras.
How do we resolve vectors into two components?
Use SohCahToa.
Define moment.
The force x the perpendicular distance from its line of action to the pivot
For an object in equilibrium the sum of what around a point = the sum of what around the point?
Clockwise and anti-clockwise movements.
What is a couple?
Consists of a pair of coplanar forces equal in magnitude and opposite in direction who do not act along the same line of action.
What is the moment of a couple?
Force x perpendicular distance between the lines of action of the forces.
Define centre of mass.
The point where all off the mass can be considered to be concentrated. A force applied through this point won’t cause rotation, or a resultant movement.
Define centre of gravity.
The point where all of the weight of an object can be considered to act through.
What do the COM and COG share?
The same point.
Define uniform.
Mass is evenly distributed.
How can the COM be found for uniform objects?
Balance it on a knife’s edge, COM would be directly above the support.
How do you find the COM for an irregular lamina?
- Push a pin through the sheet and allow it to swing freely
- It comes to rest with the COM directly below the point of suspension
- Draw a plumb line, the COM is somewhere along this line
- Repeat from a different position
- Where lines cross is COM
v = ?
∆s/∆t
a = ?
∆v/∆t
On a s/t graph what is the gradient? What do straight lines mean?
Velocity, constant velocity.
What does it mean if an s/t graph goes into the negative quadrant? What is the x axis?
Moving in opposite direction to starting point. The starting point.
What are the two velocities you can find from a curve on an s/t graph? How do we find them?
Instantaneous velocity of a point (draw tangent), average velocity (take gradient between top and bottom point).
On a v/t graph what is the gradient? What do straight lines mean?
Acceleration, constant acceleration.
What does a negative gradient mean on a v/t graph?
Deceleration.
What does it mean when a v/t graph goes into the negative quadrant?
Negative velocity moving in the opposite direction (and getting faster).
What are the two accelerations you can find from a curve on a v/t graph? How do we find them?
Instantaneous acceleration (tangent), average acceleration (top and bottom points).
What is the area of a v/t graph?
Displacement.