Mechanics Flashcards

(46 cards)

1
Q

When is an object in equilibrium?

A

No resultant force and no turning force (sum of moments is zero)

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2
Q

Define moment (including equation)

A

Moment = force x perpendicular distance from line of action of the force to the axis or point of rotation

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3
Q

Moment of a couple?

A

Moment of a couple =FD

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4
Q

When does a falling object reach terminal velocity?

A

When it’s weight (gravitational pull) is equal to the drag force and it no longer accelerates, it falls at a constant velocity

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5
Q

Newton’s First Law?

A

An object remains at rest/constant velocity unless acted on by a resultant force

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6
Q

Newton’s Second Law?
Include equations

A

Resultant force is proportional to the rate of change of momentum.
F = change in momentum/t
F=ma if m is constant and a is uniform

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7
Q

Newton’s Third Law?

A

Force exerted by A on B is in opposite direction, same type and equal to the force exerted by B on A

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8
Q

In an elastic collision, what is conserved?

A

Momentum is conserved
Kinetic energy is conserved

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9
Q

In an inelastic collision, what is conserved?

A

Momentum is conserved
Kinetic energy is NOT conserved

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10
Q

What does the area under a force time graph represent?

A

The impulse (change in momentum)

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11
Q

What does the are under a force displacement graph represent?

A

Fs, work done or energy transferred

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12
Q

In W=Fs, what conditions need to be true for it to hold?

A

Force must be constant and the displacement must be the distance in the direction of the force.

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13
Q

What does Hooke’s Law state?
Equation?

A

That the extension of a spring is proportional to the force applied provided the limit of proportionality is not exceeded
F=kx

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14
Q

What effect does a parallel spring system have on the spring constant?

A

kt = k1 + k2 + …
The spring constant increases

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15
Q

What effect does a series spring system have on the spring constant?

A

1/kt = 1/k1 + 1/k2 + …
The spring constant decreases

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16
Q

What effect does a parallel spring system have on the extension?

A

Extension decreases

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17
Q

What effect does a series spring system have on the extension?

A

Extension increases

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18
Q

What does the gradient of a force extension graph represent for something that obeys Hooke’s Law?

A

The spring constant

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19
Q

Define friction

A

Force that acts between two surfaces that meet

20
Q

Define air resistance

A

A drag force experienced when moving through air

21
Q

For circular motion, where is the object accelerating?

A

Towards the centre

22
Q

In circular motion, ____ is always a tangent to the objects path

A

In circular motion, velocity is always a tangent to the objects path

23
Q

What are the centripetal acceleration equations?

A

a = v^2 /r
a = w^2 r

24
Q

What is the difference between angular velocity and angular frequency?
What is the equation?

A

Angular velocity is a vector and used for circles.
Angular frequency is a scalar and used for SHM and waves.
w=2 pi f

25
In circular motion, how do you work out the force acting towards the centre of the circle?
F= mv^2 /r F=mw^2r
26
In a loop de loop, what will the reaction force be at the top?
R=(mv^2/r)-mg
27
In a loop de loop, what will the reaction force be at the bottom?
R=(mv^2/r)+mg
28
What is amplitude for SHM?
Magnitude of the max displacement (+ve)
29
What is displacement for SHM?
Distance from rest position (+ve or -ve)
30
What is frequency for SHM?
Number of oscillations per unit time
31
What is the period for SHM?
Time for one complete oscillation
32
SHM has: an __ proportional to __ from equilibrium position an a in ____ direction to displacement
SHM has: an ACCELERATION proportional to DISPLACEMENT from equilibrium position an acceleration in OPPOSITE direction to displacement
33
What is the acceleration equation for an object in SHM?
a=- w^2 x
34
What is the displacement equation for an object in SHM?
x=Acos(wx)
35
When is vmax in SHM?
At the equilibrium position vmax =+- wA
36
When is amax in SHM?
At max displacement amax = -w^2 A
37
For a simple pendulum, what is the time period? What does it tell us?
T=2pi sqrt(L/g) Where L is the length of the string. T is independent of x or A
38
For a mass-spring system, what is the time period? What does it tell us?
T=2pi sqrt(m/k) Where k is the spring constant. Bigger k, higher f and smaller T Heavier mass, T increases
39
SHM graphs: x against t is a ___ graph (starting from equilibrium position)
a sin graph
40
SHM graphs: v against t is a ___ graph (starting from equilibrium position)
a cos graph
41
SHM graphs: a against t is a ___ graph (starting from equilibrium position)
a negative sin graph
42
When in equilibrium position, a pendulum has: - max __ - min __
In equilibrium: - max kinetic energy - min potential energy (0)
43
When at max displacement, a pendulum has: - max __ - min __
At max displacement: - max potential energy - min kinetic energy (0)
44
In a vertical mass spring system: When compressed, - Ek is __ - Gpe is __ - Epe is __
In a vertical mass spring system: When compressed, - Ek is 0 - Gpe is max - Epe is min
45
In a vertical mass spring system: When at equilibrium, - Ek is __ - Gpe is __ - Epe is __
In a vertical mass spring system: When at equilibrium, - Ek is max - Gpe is 1/2 max - Epe is 1/2 max
46
In a vertical mass spring system: When most stretched, - Ek is __ - Gpe is __ - Epe is __
In a vertical mass spring system: When most stretched, - Ek is 0 - Gpe is min - Epe is max