Mechanics Flashcards
What is a vector quantity?
a physical quantity with direction AND magnitude
What are some examples of vector quantities? (5)
force
acceleration
displacement
momentum
velocity
What is a scalar quanitity?
a physical quantity that is NOT directional and has a magnitude ONLY
What are some examples of scalar quantities? (5)
distance
speed
mass
temperature
energy
What is displacement?
a vector quantity- describes how far an object is from where it started and in what direction
How can we combine vectors?
-use Pythagoras’ theorem (for two vectors acting at right angles to each other)
-use a scale drawing, find angles using a protractor and use the sine/cosine equation (for vectors not at right angles)
What do we mean by coplanar forces?
forces which act in the same plane
How can we resolve vectors? Give the equations to find out the Fx and Fy vectors
use trigonometry
-for the horizontal component, Fx = F cos θ
-for the vertical component, Fy = F sin θ
How are vectors resolved on a slope?
usually need to resolve weight:
- W cos (θ) perpendicular to the slope
- W sin (θ) parallel to the slope
What does it mean if an object is at equilibrium?
-at rest
-no resultant force
-constant velocity
What does it mean if a vector triangle is closed?
the forces are at equilibrium
What is a moment?
the force multiplied by the perpendicular distance from the line of action of the force to the pivot
What is the equation to calculate the moment of a force? Include units
M=Fd
where:
M= moment (Nm)
F= force (N)
d= perpendicular distance from the line of action from the force to the pivot (m)
What do the principle of moments state?
at EQULIBIRBIUM, the sum of the clockwise moments= the sum of the anti-clockwise moments ABOUT A GIVEN POINT
What do we mean by the centre of mass?
the point at which the entire WEIGHT of an object can be considered to ACT THROUGH
What is a couple?
a pair of forces of equal magnitude acting antiparallel either side of a pivot
What mnemonic is used for the equations of motion?
SUVAT
where
s= displacement (m)
u= initial velocity (ms^-1)
v= final velocity (ms^-1)
a= acceleration (ms^-2)
t= time (s)
How can we work out acceleration if we have 2 velocity’s and 2 times?
-same as a gradient of a velocity-time graph
change in velocity/ change in time
How can we work out velocity if we have two displacements and two times?
-same as a gradient of a displacement-time graph
change in displacement/ change in time
What doe we mean by instantaneous velocity?
the velocity of an object at a specific point in time
How can we work out the average speed/velocity?
velocity:
total displacement/ total time taken
speed:
total distance/ total time taken
What is the gradient of a displacement-time graph at a specific point equal to?
instantaneous velocity
What is the gradient of a velocity-time graph equal to?
acceleration
What is the area under a velocity-time graph equal to?
overall displacement
What is the area under an acceleration-time graph equal to?
overall change in velocity
When do we use SUVAT equations?
when the acceleration is uniform and resultant force is constant
Name all the SUVAT equations (4)
v= u + at
s= 1/2(u + v) x t
v^2= u^2 - 2as
s= ut + 1/2at^2
What is something to know when an object is being projected?
the horizontal and vertical components need to be treated independently