KINE 3050: Angular Kinetics

yes

Does angular kinetics follow Newton's Laws of motion?

1 multiple choice option

kinetics, angular, Newtons

Angular ___ deals with the ___ aspects of ___ laws

moment of inertia

*Quantifies how an object's mass is distributed relative to a specific axis of rotation

radius of gyration

Radial distance of a specific point, from the axis of rotation at which the whole mass of the body is suppose to be concentrated

I = mk^2

Moment of inertia equation (LINEAR)

*Mass

*Radius of gyration

angular momentum

*Quantifies angular motion

the quantity of rotation of a body, which is the product of its moment of inertia and its angular velocity.

Ha = Iw

angular momentum equation

Other option: Mass radius of gyration^2

angular impulse

change in angular momentum

torque(time)

What is one of the equations for angular impulse?

delta H = final angular momentum - initial angular momentum

What is the equation for angular impulse in terms of angular momentum

resists, angular momentum

Angular motion ____ changes in ___ ___

angular velocity or radius of gyration

What can cause changes to angular momentum?

angular moment of inertia

Represents the resistance to change in angular velocity & angular acceleration

Measured in kg/m2

moment, inertia, mass, distribution

Angular ___ of ___ is dependent on the ___ of the object & (third blank) ___

gyration, distance, axis of rotation, mass/gravity, rotating

Radius of ___ is the ___ from the ___ to the center of ___/___ or a segment that is ___

no

Is radius of gyration & radius of the movement the same thing?

1 multiple choice option

radius of gyration, atom, axis, mass

__ __ ___ is the radius of each individual ___ relative to the ___ times their ___

motion, external, torque

An object angularly resists changes to its state of ___ unless it is acted on by an ___ force, or in this case, ___

momentum, motion, rotating

Angular ___ describes the angular ___ of an ___ object

conserved, external torque, eccentric force

Angular momentum will be ___ unless the object is acted on by a net ___ __ or a net __ ___

kgm^2/s

What are the SI units for angular momentum?

conservation of angular momentum

as long as there is no external torque, the total angular momentum of a set of interacting objects cannot change

torque, acceleration

When there is net ___, it will cause angular ___

inverse

What is the relationship between angular acceleration & moment of inertia

1 multiple choice option

acceleration, proportional, magnitude & direction

Angular ___ will be ___ to the net torque's ___ & ___

T = Ia

Torque equation in terms of Newton's 2nd law

torque, long, stop, opposite

If ___ is applied for too ___, it could ___ the spinning or cause the object to spin in the ___ direction

t = w/a

Equation to find time in terms of angular velocity & acceleration

t = T/delta H

Equation to find time in terms of torque & angular momentum

torque, returned, magnitude, direction, third

Angularly, ___ exerted from one object to another will be ___ with equal ___ & opposite ___

*Follows Newton's __ law

angular power, Watts

Rate of change in angular work

What are its SI units

Angular power = Tw

Equation for angular power

Pm = Mj(wj)

Muscle power equation

*Net muscle power or TORQUE

*Joint angular velocity

segmental method

estimation of the location of the body's center of gravity

segmental, individual, own, gravity

___ method is based on the concept that each ___ segment has its ___ center of ___

cartesian coordinates

What are used to obtained for each segment in segmental method?

mass, axis of rotation, limb position

___ distribution about an __ __ __ may be altered by changing the __ __

first, rest, uniform rotation, torque

Newton's ___ Law: Body continues in a state of __ or ___ ___ about its axis unless acted upon by an external ___

muscle

What generates forces?

angular inertia

property of an object to resists changes in its angular motion

inertia

Resistance of body to changing motion

*Linear

angular, not, mass, linear

___ inertia is __ just dependent on __, unlike ___ inertia

more

Does mass FARTHER from an axis of rotation have more or less angular resistance?

1 multiple choice option

less

Does mass CLOSER from an axis of rotation have more or less angular resistance?

inertia, individual mass

When looking at moment of ___ consider each __ __ particle

radius of gyration, distribution

___ __ __ is a SIMPLER approach to consider mass ___

inertia, torque, acceleration

Moment of __ determines the __ needed for a desired angular ___ about a rotational axis

doubles

When mass doubles, moment of inertia ___

quadruples

When radius of gyration doubles, moment of inertia ___

eccentric axis

implement axis NOT passing through center of gravity

no

Does ALL rotation occur around the center of gravity?

1 multiple choice option

eccentric, grip, end, gravity

In ___ axis, performer holds __ or __ of implement, not center of ___

parallel axis

What is the new axis called when performer changes grip or end hold

bat, hammer, stick, racket

What are (4) examples of a eccentric axis

mass, larger

When ___ is FARTHER from axis of rotation, moment of inertia is ___

mass, smaller

When ___ is CLOSER from axis of rotation, moment of inertia is ___

inertia, axis, position, orientation, limbs, axis

The moment of ___ around each body ___ depends on the ___ or ___ of the limbs relative to the ___

relative, mass distribution, axis

Altering the ___ angle at a joint(s) changes moment of inertia by changing the __ __ around a joint ___

relative angle, mass distribution, center of gravity

Altering the ___ ____ at many joints changes the Icg by changing the ___ ___ around the ___ __ ___

tangential velocity, inertia, radius

__ __ & moment of ___ are GREATER with a LONGER ___

equipment design, technique

__ ___ & ___ changes can change moment of inertia & linear velocity

Ex: Bat size

momentum, current, motion, resistance

Angular ___ describes BOTH the __ state of ___ & ___ to changing (third blank)

vector

Is angular momentum a vector or a scalar?

1 multiple choice option

momentum, moment of inertia, angular velocity

Angular ___ will CHANGE because of changes in both or either of ____ __ ___ & ___ ___

right-hand rule

What do you use to find the direction of angular momentum

momentum, sum, momenta, segments

Angular ___ (Ha) of body is __ of angular ___ of individual ___

limbs, angular velocity

Many ___ often rotate at different __ ___

moment of inertia, angular velocity

If __ __ __ is CONSTANT, than __ ___ will be CONSTANT

rigid, gravity

For a ___ particle, ___ is the only external force

weight, center of gravity, moment arm, external force, torque

___ acts through the __ __ ___

*Has NO ___ __ around the (second blank)

*Has NO __ __ or ___ on a body/projectile

momentum, constant, torque

Angular __ remains ___ unless a net external __ acts on rotating body

human, rigid, moment of inertia

__ body is a system of ___ links w/ modifiable ___ __ ___

inverse

What is the relationship between moment of inertia & angular velocity when angular momentum is CONSTANT?

1 multiple choice option

reduce, tuck, arms in

For a FASTER spin, ___ moment of inertia

*What are 2 things that do this

increase, layout, arms out

For a SLOWER spin, ___ moment of inertia

*What are 2 things that do this

repositioning, countered, opposite, constant, angular velocity

___ 1+ segments of body must be ___ by (first blank) 1+ segments in the __ direction to maintain ___ Hcg

*(First blank) means changing __ ___

torque, accelerate, direction 2nd

If net external ___ acts on body, the body will angularly __ in its ___

*Follows Newton's __ law

direct

What is the relationship between angular acceleration & torque

1 multiple choice option

inverse

What is the relationship between angular acceleration & moment of inertia

momentum, proportional, torque, direction

Change in angular __ of an object is ___ to the net external __ exerted on it, and the change is in the ___ of net external (third blank)

increases

When torque & angular velocity have the SAME SIGN, angular momentum ____

1 multiple choice option

decreases

When torque & angular velocity have the DIFFERENT SIGN, angular momentum ____

1 multiple choice option

momentum of inertia, angular velocity, greater

If __ __ __ changes when TORQUE is applied, change in ___ ___ will be __

torque, magnitude, effect

___ on each body is of equal ___, NOT the ___

a = T/I

Equation for angular acceleration

front of sacrum

Where is the center of gravity in anatomical position?

top of head

Where is the vertex?

limb, flexing, joint

You can bring the ___ in CLOSER to the axis of rotation by ___ at a joint

deadlift

What is one lift where center of gravity is an important component?

resistance, acceleration, deceleration, product, mass

Rotating body's ____ to angular __ or ___ is EQUAL to ___ of the mass

resistance, acceleration, deceleration, square, perpendicular distance, rotation

Rotating body's __ to angular ___ or ___ is EQUAL to ___ of its ___ ___ from axis of ___

mass & mass distribution

What does moment of inertia depend on?

figure skating & diving

What sports are good examples of where athletes adjust their mass distribution around the center of gravity

*Arm use when spinning

*Tuck vs layout position for somersaults

length, mass, distribution

What (3) factors do EQUIPMENT CHANGES focus on?

constant, net external torque

When angular momentum (Ha) is ___, then there is NO ___ ___ ___

center of gravity momentum, projectile

___ __ ___ ___ remains CONSTANT while a ____

direct

What is the relationship between angular acceleration & torque?

1 multiple choice option

inverse

What is the relationship between angular acceleration & moment of inertia?

1 multiple choice option

acceleration, change, momentum

If you have angular ___, then you MUST have a __ in angular momentum

kgm^2

What is the SI unit for moment of inertia?