Mechanics Flashcards
(61 cards)
The horizontal component of a vector is given by ….
Fx= F cos θ
The vertical component of a vector is given by….
Fy= F sin θ
Vectors on an incline
Weight acts vertically downwards
Weight resolved along the plane = W cos θ
Weight resolved perpendicular to the plane = W sin θ
Equilibrium
Resultant force = 0
Moment = 0
Moments equation
Force x perpendicular distance between point to the line of action of the force
Couples
Equal and opposite coplanar forces
(2 forces acting in opposite directions but equal, the same distance apart)
Moment equation applied to couples
M=2Fd
Principle of moments
Sum of the clockwise moments= sum of the anti-clockwise moments
Equilibrium -> not turning
Centre of mass
Point at which weight appears to act
Centre of mass hanging objects
COM directly below the point it is hung from
Why do objects fall over?
Centre of mass is outside its base
A object is stable when….
The centre of mass lies above its base
Acceleration=
Rate of change of velocity
Velocity=
Rate of change of displacement
Displacement-time graphs
Gradient=v
Area under graph = distance
Instantaneous velocity -> tangent
Average velocity -> total displacement / time
acceleration = curve
constant gradient= constant acceleration
Acceleration- time graphs
Non horizontal lines= non uniform acceleration
Gradient= rate of change of a
Area = change in velocity
Velocity-time graphs
Area= displacement
Gradient= acceleration
curve= changing acceleration
Determination of g by free fall
Steel ball bearing and trap door
electromagnet
Light gates or pressure sensitive plates
Measure from a range of heights
Plot a graph of t2 against h
g= 2x gradient
small ball bearing low air resistance
uncertainty of ruler 1mm
Projectile motion
Horizontal v=u because a=0
Vertical u=0, a=-9.81
Parabolic projectile motion
At maximum vertical displacement, Vy =0
Time = 1/2 t
What is lift?
Upward force due to collisions with air particles
Planes push air downward during flight. Downward force on air particles, equal and opposite force upwards on wing
perpendicular to fluid flow -> shape of object causes fluid flowing over it to change direction
Terminal velocity
Initial acceleration =-9.81 ms-2
Velocity increases, collisions per second increases, air resistance increases
Constant downward force
Terminal velocity #1 air resistance = weight
Maximum speed
Parachute deployment
Air resistance increases, deceleration, force due to air resistance decreases as velocity decreases, new terminal speed
Shape of race cars
Streamlined so they can reach higher speed with the same driving force
Newton’s first law
A body will continue in a state of rest or uniform motion in a straight line unless acted on by a net external force