mechanics Flashcards
newtons third law pairs
-same size
-same line of action but in opposite directions
-same time of action
- same type of force
-acts on diff bodies
FAB = -FBA
2 relationships between forces for object in equilibrium
- resultant force 0N
- resultant Torque 0 (ACW m =CWm)
in moments - talking about why a force / distance must be greater / lesser to balance
- subject of questions relative distance (e.g. W is a greater distance)
- subjects __ must be > or < for moment to be equal / resultant moment 0N (e.g. W force must be less)
if an object moves along the system in equilibrium (e.g. girl walks along diveboard) - how to describe moment
-moment of object’s weight increases
moment definition
- force x perpendicular distance
- from line of action of force to pivot
principle of moments (3)
- for body in equilibrium
- SUM of ACW moments = SUM of CW moments about a POINT/PIVOT
comparing forces
- distance pivot (1)
- gives large enough / small enough moment
two conditions for object in equilibrium
- resultant force = 0N
- resultant Torque =0Nm ABOUT ANY POINT
consequence if object is not in equilibirum
- accelerate
- rotate w/ angular direction
direction of tension
–> force case of hanging mass
- the tension will point away from the mass in the direction of the string/rope.
- In case of the hanging mass, the string pulls it upwards, so the string/rope exerts an upper force on the mass and the tension will be in the upper side.
always add what on angles in vector diagrams?
-directions NSEW
what will happen to forward force to maintain constant acceleration?
- forward force increase
- air resistance increases w/ speed
- driving forward force > drag force ( for constant acceleration)
- otherwise, the net resultant force would decrease
what is constant acceleration?
velocity changes at a constant rate (net force must stay the same)
when doing distance under graph
-always do the WHOLE under graph even if it looks as if it starts mid y axis
when describing motion always
-include figures even if it looks as though you shouldn’t;
when cars start at different points on graph (3) to explain why one reaches a maximum distance ahead of other
- car (B) initially slower
- therefore distance apart increases
- cars reach same speed after (time)
how to collect data for sprinter velocity time graph
- record time to reach set distance
- d/t graph measure gradient
on elevated plane vector questions the angle is in between
-given W and vertical component
gravitational potential energy (or any energy lost) points (3)
- lost as heat energy to the surroundings
- frictional forces / air resistance / drag between (2 surfaces)
- WORK DONE against or by resistive force
if there’s a delay in distance time graph e.g. sprinter w/ pistol reason is
reaction time
why does changing mass not affect g (2)
- weight and mass directly proportional w=mg
- -> double weight double mass therefore factor of 2 cancels and g remains the same
when talking about difference between distance and displacement in graph
say d is scalar and s is vector the graph
when describing motion
-always comment on direction (e.g. opposite direction) to other half of graph
when talking about why an object might not travel as far in one direction (e.g. horizontally)
talk about air resistance causing deceleration in HORIZONTAL
for s = ut +1/2 at^2 when t is unknown
-create a quadratic + solve for unknown t
for object thrown from cliff initial velocity assumed as
0 ms
if not given acceleration and says constant acceleration assume acceleration to be
0ms-2
- A ball is thrown vertically upwards at 25 m s−1. Find the length of time for which the ball is above 3 m from the point of projection.
(why two solutions for t ?)
There are two solutions because there are two times when the ball is at a height of 3 m - once on the way up and once
on the way down. The difference between these times is the time spent above 3 m
Relationship displacement y and time x in free fall
s = ut +at^2 /2
S=(0)t + at^2
S=t^2
Y is proportional to square of x
3 marks
–> explaining why for smaller horizontal velocity == smaller distance travelled
(vertical motion independent horizontal)
(1) same acceleration downwards due to gravity = same vertical speed ( as same mass)
(1) in air for same time
(1) s=ut where u is horizontal speed
energy changes in cannonball being fired
- GPE- Ke
- to heat / thermal
why if velocity diver independent mass if air resistance insignificant
- all gpe transfer to KE
- no transferred to heat
- mass cancels
if the object in question is not stated to be at rest final velocity must not be
0
–> measuring velocity BEFORE impact
six marker - ball bearing in oil
-ball decelerates down in the fluid - force due to friction acts upwards + > downwards force on weight of ball
-resistive force = upwards + decreases
{]deceleration decreases to 0:
-drag force decreases as speed decreases
-until equal
-grad graph = acceleration + ball moves at terminal velocity
why acceleration decreases as move downslope(2)
- component weight downwards = acceleration
- move further down component decreases
- air resistance increases as speed increases
Galileo’s experiment - frictionless track why ball returns to same height (3)
ALL -GPE –> KE –> GPE (1)
- -> no work done against friction / resistive forces (1)
- -> as initial GPE= final GPE + mg is constant h same (1)
what to say when air resistance is negligible in terms of energy
no !WORK DONE ! against resistive forces
Key words for Newton first law of motion
- no external unbalanced resultant force acting on it
- constant velocity in a straight line
gravitational field strength
vector
force per unit mass
remember when horizontal component of vertical force increases the vertical force increases in magnitude at
an angle (infleunced by angle e.g. V sinx)