Introduction Of Angular Kinetics in Moment of Inertia

why is the human body moment of inertia defined by the axis of rotation?

• When mass is closer to the axis of rotation, the easier it is to swing the bat. If mass is positioned away from the axis of rotation, the more difficult it is to initiate (or stop) angular motion.

• Local term: based on the segments angular momentum about its own segmental CG.

• When segment rotates around the longitudinal axis, moment of inertia is different from its moment of inertia during flexion and extension or abduction and adduction, because mass distribution and its moment of inertia is different with respect to the axis of rotation.

• Its easier to initiate rotation about long axes because total body movement of inertia with respect to the long axis is much smaller than the other 2 axs.

1. Its mass (m)

2. Distribution of mass with respect to the axis of rotation (k)

3. Angular velocity of the body (w)

• what is cat rotation and how is it accomplished ?

• what is involvement of newtons first law in human movement

• 3 factors affecting the magnitude of a body's angular momentum

• why are smaller gymnast able to perform whole body rotation.

- occurs through the vector sum of the 2 rotations if it remains constant in magnitude and direction.

- When total -body angular momentum is zero, generating a twist in midair is possible using skillful manipulation of a body composed of at least 2 body segments.

- Its easier to initiate rotation about long axes because total body movement of inertia with respect to the long axis is much smaller than the other 2 axs.

• how does a Cyclist running a curve exerts CF on the tires to stay within a curved path?

• how does takeoff from a springboard related to angular momentum?

• how is transferring angular velocity from on principal axis to another can occur when a diver changes from a somersault rotation to twisting?

• What is the involvement of newtons first law in human movement?

inertial property for rotating bodies representing resistance to angular acceleration. Based on both mass and the distance the mass is distributed from the axis of rotation.

• what is Angular Momentum?

• what is Moment of inertia?

• what is the Radius of gyration?

• what is Centrifugal force?

- When mass is closer to the axis of rotation, the easier it is to swing the bat.

- If mass is positioned away from the axis of rotation, the more difficult it is to initiate (or stop) angular motion.

• explain why handling a bat by the barrel results in short radius of gyration.

• explain the distribution of mass in a baseball bat of how it would resist angular acceleration?

• explain the 2 phases of cat rotation about how they are able to land on their feet?

• why is the human body moment of inertia defined by the axis of rotation?

I=(weird E)mr^2

I= moment of inertia about an axis through the center of gravity

(weird E)= summation symbol

m=mass of particle

r= radius from particle to axis of rotation

• radius of Gyration Equation

• radius of Gyration

• moment of Inertia

• moment of Inertia Equation

as the length of an implement increases, the moment of inertia increases as well

• Angular (Rotary) inertia

• Linear Velocity and Moment of Inertia

• Angular Momentum (Rigid Body)

• Angular Momentum(Rigid Body) Equation