Dynamics of Rotatory Motion

Февраль 11, 2021

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Dynamics of Rotatory Motion

Содержание

2. Angular Momentum The angular momentum of this material point is the vector product of position vector
3. Angular Momentum (cont.)
4. Torque We shall name the vector product of position vector and force as a moment of
5. Newton’s Second Law The angular momentum of a system of particles will change only if a
6. Moment of Inertia The angular momentum of an object is equal to the product of the
7. Newton’s Second Law (cont.) The angular acceleration of an object is directly proportional to the resulting
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Angular Momentum
The angular momentum of this material point is the vector product

Angular Momentum The angular momentum of this material point is the vector

of position vector and momentum ,

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Angular Momentum (cont.)

Angular Momentum (cont.)

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Torque
We shall name the vector product of position vector and force as

Torque We shall name the vector product of position vector and force

a moment of force about , or torque, ,

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Newton’s Second Law
The angular momentum of a system of particles will change

Newton’s Second Law The angular momentum of a system of particles will

only if a torque exists

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Moment of Inertia
The angular momentum of an object is equal to the

Moment of Inertia The angular momentum of an object is equal to

product of the moment of inertia of this object and its angular velocity

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Newton’s Second Law (cont.)
The angular acceleration of an object is directly proportional

Newton’s Second Law (cont.) The angular acceleration of an object is directly

to the resulting moment of all external forces acting on this object and inversely proportional to the moment of inertia of the object