Angular Kinetics Flashcards

1
Q

Newtons first law for angular kinetics

A

a rotating object will continue to do so at constant angular momentum unless acted on by an external force

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2
Q

Newtons second law for angular kinetics

A

an external moment produces an angular acceleration that is - proportional and in the direction of the moment

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3
Q

Newtons third law for angular kinetics

A

for every applied moment there is an equal and opposite reaction moment

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4
Q

Moment (or torque) definition

A

The tendency of a force to cause rotation about a specific axis

“measurement of turning effect”

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5
Q

How is a Moments value calculated

A

product of magnitude of a force and the perpendicular distance from the line of action of the force to the axis of rotation (mass x distance)

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6
Q

What do eccentric forces do?

A

cause rotation as well as translation

line of action does not pass through centre of gravity

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7
Q

How can rotation be acheivied without translation

A

applying two equal and opposite parallel forces (2 corners of square)

  • rotation occurs around centre of gravity (Force Couple)
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8
Q

How is the turning effect of a force couple calculated?

A

magnitude of one of the forces x perpendicular distance between lines of action = moment

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9
Q

Moment calculation and explanation around a pivot

A

Moment (N.m) = force (N) x distance (m)

the bigger the distance from pivot (moment arm) the greater the resultant force (moment)

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10
Q

Resultant moment definition

A

the sum of all moments about a defined point

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11
Q

what are clockwise moments denoted as?

A

negative direction

thumb down - fingers go clockwise

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12
Q

what are anti-clockwise moments denoted as?

A

positive direction

thumbs up - fingers go anti clockwise

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13
Q

Equilibrium definition

A

when all parts of a body at rest or are moving with the same constant velocity

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14
Q

Centre of Gravity definition

A

point through which resultant force of the gravity acts

where body weight theoretically acts

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15
Q

How can an objects centre of gravity location be estimated

A

Suspension method

Reaction board method

Segmental method

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16
Q

How does the suspension method work?

A

suspend an object and use intersecting plum lines to find the centre of gravity

17
Q

How the does the reaction board method work

A

person lies on the balanced reaction board and scales

allows centre of gravity to be estimated as a length from feet

18
Q

Reaction board equation

A

Length x (R2 - R1) / W (mass x gravity)

R2 = scales without person
R1 = scales with person laying still
19
Q

How does the segmental method work

A

uses sum of moments = moment of the resultant rule

each body segment has its moment calculated (distance from x & y axis when graph is superimposed)

20
Q

Segmental method calculation (X, Y coordinates)

A

X = sum of segment mass x segment CoG coordinates / mass

21
Q

How is segment data for humans acquired? (3)

A

Cadaver data (weighed on balancing table)

Mathematical modelling

Scanning (MRI)

22
Q

How does the mathematical model work?

A

mathematical model divides body into segments (accounts for gender & varied densities) and estimates