Physics 2053c fall 2001
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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.

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Physics 2053C – Fall 2001

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Physics 2053c fall 2001

Physics 2053C – Fall 2001

Recap of Chaps. 1-7

Chapter 8

Rotational Motion

Dr. Larry Dennis,

FSU Department of Physics


Newton s 2 nd law

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

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

Motion in One Dimension

  • v = dx/dt

  • a = dv/dt

  • When a = constant:

    • v = vo + at

    • x = xo + vot + ½at2


Motion in two dimensions

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

Circular Motion

  • a = v2/R

  • Force is towards the center of the circle.

  • Examples: Planetary Orbits


Conservation of momentum

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

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


Rotational forces torque

F1

F2

R1

R2

Rotational Forces  Torque

  •  = I = RFsin or RF


Rotational energy momentum

Rotational Energy & Momentum

  • Kinetic Energy: K = ½I2

  • Angular Momentum: L = I


Next time

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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