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# Physics 2053C – Fall 2001 PowerPoint PPT Presentation

Physics 2053C – Fall 2001. Recap of Chaps. 1-7 Chapter 8 Rotational Motion. Newton’s 2 nd 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.

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 + ½t2

F1

F2

R1

R2

### Rotational Forces  Torque

•  = I = RFsin or RF

### Rotational Energy & Momentum

• Kinetic Energy: K = ½I2

• Angular Momentum: L = I

### Next Time

• Chapter 8 – Rotational Motion.

• Quiz on Chapter 7.