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Physics 2053C – Fall 2001PowerPoint Presentation

Physics 2053C – Fall 2001

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### Physics 2053C – Fall 2001

Recap of Chaps. 1-7

Chapter 8

Rotational Motion

Dr. Larry Dennis,

FSU Department of Physics

Newton’s 2nd Law

- Types of Forces:
- Gravity
- Normal Forces
- Friction
- Tension

The rate of change of momentum of a body is equal to the net force applied to it.

Conservation of Energy

- Total Energy Remains Constant.
- Kinetic Energy K = ½mV2
- Potential Energy
- U = mgh (gravity)
- U = ½kX2 (spring)

- Ki + Ui + Wnc = Kf + Uf

Motion in One Dimension

- v = dx/dt
- a = dv/dt
- When a = constant:
- v = vo + at
- x = xo + vot + ½at2

Motion in Two Dimensions

- vx = dx/dt and vy = dy/dt
- ax = dvx/dt and ay = dvy/dt
- Example: Free Fall (ay = -g )
- vy = voy - gt
- y = yo + voyt - ½gt2
- vx = vox
- x = xo + voxt

Circular Motion

- a = v2/R
- Force is towards the center of the circle.
- Examples: Planetary Orbits

Conservation of Momentum

When p= 0 (no net force) then:

Momentum Before Collision = Momentum After Collision

Mathematically this means:

M1V1b + M2V2b = M1V1a + M2V2a

Rotational Motion

- Uses all the above concepts and,
- Rolling without slipping.

- v = dx/dt
- a = dv/dt
- When a = constant:
- v = vo + at
- x = xo + vot + ½at2

- = d/dt
- = d/dt
- When a = constant:
- = o + t
- = o + ot + ½t2

Rotational Energy & Momentum

- Kinetic Energy: K = ½I2
- Angular Momentum: L = I

Next Time

- Chapter 8 – Rotational Motion.
- Quiz on Chapter 7.
- Please see me with any questions or comments.

See you on Wednesday.

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