Chapter 7 and 8

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Chapter 7 and 8 by Mind Map: Chapter 7 and 8

1. Words of the Day

1.1. Applicability

1.1.1. able to apply

1.1.1.1. what areas does energy apply

1.1.2. use for

1.1.2.1. non constant acceleration

1.1.2.2. final velocity

1.1.2.3. changes in position/direction

1.2. Trust

1.2.1. firm reliance on the integrity, ability, or character of a person or thing

2. Momentum

2.1. Definition of Linear Momentum

2.1.1. p = mv

2.2. Collisions between and amongst objects

2.3. Conservation of Momentum

2.3.1. p = 0

2.3.2. If no external force acts on system, the initial momentum of the system is equal to the final momentum of the system.

3. Three types of Collisions

3.1. Completely Inelastic

3.1.1. Perfect Sticking

3.1.2. Conservation of only momentum

3.1.3. m1v1i +m2v2i = (m1 +m2 )vf

3.2. Inelastic

3.2.1. “Sticky” but the bodies do not stick together

3.2.2. Conservation of momentum only

3.3. Elastic

3.3.1. Perfect bouncing

3.3.2. Conservation of kinetic energy and momentum

3.3.3. m1v1i +m2v2i = m1v1f +m2v2f

3.4. One-Dimensional collisions are the most common and easiest to analyze

4. System of Particles

4.1. Center of Mass

4.1.1. Average location of the mass in a system of particles

4.1.2. 3D in general

4.2. Motion of the Center of Mass

4.2.1. Definition of Momentum

4.2.2. Newton’s 2nd Law for Systems

5. Angular Energy

5.1. Rotational Kinetic Energy

5.1.1. k= 1/2*l*w^2

5.2. Moment of inertia

5.2.1. Depends on mass and shape

6. Rotational Dynamics

6.1. Torque

6.1.1. Angular Force

6.1.2. Vector Quantity

6.1.2.1. T

6.1.3. Magnitude

6.1.3.1. T= -/+ F*D

6.1.3.2. T= F r sin X

6.2. Equilibrium of Forces and Torques

6.2.1. F=0

6.2.1.1. Linear

6.2.2. T=0

6.2.2.1. Angular

6.3. Newton’s 2nd Law for Rotations

6.4. Rolling Bodies

6.4.1. Add translational and rotational kinetic energies

6.5. Refer to page 258, Table 8.1

6.5.1. shapes

6.5.2. axis of rotation

6.5.3. rotational inertia

7. Clockwise rotation

7.1. negative

8. Counter clockwise rotation

8.1. positive