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Summary of Chapters 1-7 and Introduction to Rotational Motion in Physics

In this recap of chapters 1-7 from Dr. Larry Dennis's Fall 2001 physics course, we cover key concepts such as Newton's second law, types of forces, and the conservation of energy. We explore motion in one and two dimensions, including free fall and circular motion. The session also introduces rotational motion, emphasizing torque, rotational energy, and angular momentum. Core equations like kinetic and potential energy, as well as momentum conservation, are discussed in detail. Feel free to reach out with questions or comments.

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Summary of Chapters 1-7 and Introduction to Rotational Motion in Physics

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  1. Physics 2053C – Fall 2001 Recap of Chaps. 1-7 Chapter 8 Rotational Motion Dr. Larry Dennis, FSU Department of Physics

  2. 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.

  3. Conservation of Energy • Total Energy Remains Constant. • Kinetic Energy K = ½mV2 • Potential Energy • U = mgh (gravity) • U = ½kX2 (spring) • Ki + Ui + Wnc = Kf + Uf

  4. Motion in One Dimension • v = dx/dt • a = dv/dt • When a = constant: • v = vo + at • x = xo + vot + ½at2

  5. 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

  6. Circular Motion • a = v2/R • Force is towards the center of the circle. • Examples: Planetary Orbits

  7. Conservation of Momentum When p= 0 (no net force) then: Momentum Before Collision = Momentum After Collision Mathematically this means: M1V1b + M2V2b = M1V1a + M2V2a

  8. 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

  9. F1 F2 R1 R2 Rotational Forces  Torque •  = I = RFsin or RF

  10. Rotational Energy & Momentum • Kinetic Energy: K = ½I2 • Angular Momentum: L = I

  11. 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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