Y2 Equations Flashcards

1
Q

1 radian = how many degrees?

A

57.3 degrees (180/pi)

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2
Q

Displacement

A

difference between initial and final position

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3
Q

Angular Velocity

A

change in angular position/change in time

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4
Q

Angular Speed

A

angular distance/time

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5
Q

Angular Acceleration

A

change in ang velocity/time

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6
Q

First Central Difference Method

A

v = (positionfinal – positioninitial)/ (timefinal – timeinitial)

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7
Q

Angular Motion

A
Vt = r x w
Vt = linear/tangential velocity
R= length of radius
W= angular velocity
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8
Q

Moment

A

M= force x distance

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9
Q

Inertia Definition

A

objects tendency to resist a change in motion

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10
Q

Force

A

F =m x a

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11
Q

Resultant force

A

mres= m1 +m2

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12
Q

Reaction Board

A

length of board (r2-r1) /weight

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13
Q

Segmental Method

A
MgX = E(MiGxi) 
MgY= E(MiGyi)
Mi= segment mass
XiYi= coordinates of segment CoG
M= total body mass
XY= coordinates of body CoG
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14
Q

Inertia

A

I= E(mass x distance to axis of rotation2)

 Human’s inertia values are ~10

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15
Q

Segment Moment of Inertia

A

IA = Icg + md2

IA= Moment of inertia of body rotating, at centre of gravity
ICG- Moment of inertia of segment about its cog
MD2 = mass of segment x distance2 between segment cog and whole body cog

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16
Q

Pendulum Technique

A
I = (MghT^2)/4πr
I= inertia 
M=mass of subject
T= time for one oscillation
H= distance of mass centre from axis of suspension
17
Q

Angular Momentum

A

H = IW
H=angular momentum
I= Inertia
W-angular velocity

18
Q

Angular Momentum, about a given axis

A
Hs= IsWs/Gs + Msr2WGs/G
Is= segment inertia about axis through the segment cofg
Ws/Gs = angular velocity of the segment about axis through Gs
Ms= mass of segment
R= distance between body cofg and segment cofg
WGs/G= angular velocity of segment cofg about transverse axis, through body cofg
19
Q

Newtons 1st Law

A

A rotating body will continue to rotate with a constant angular momentum unless acted upon by an external moment.

20
Q

Newtons 2nd law

A

An external moment produces an angular acceleration that is:

  • proportional to the moment
  • in the direction of the moment
21
Q

Moment (angular acceleration)

A
EM = Iα
M= moment
I= inertia
α= angular acceleration
22
Q

Moment (force)

A

Moment = force x distance

23
Q

Newtons 3rd Law

A

For every moment exerted by one body on another, there is an equal opposite moment exerted by the second body on the first.