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Physics Lecture: Torque and Moments of Inertia

This lecture covers torque, moments of inertia, and various torque problems in physics. Topics include the formal definition of torque, torque equation of motion, and rolling without slipping. Relevant problems and exercises are included.

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Physics Lecture: Torque and Moments of Inertia

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  1. PHYSICS 50: Lecture 10.1 RICHARD CRAIG

  2. Homework #10 • Chapter 10 • We will skip 10.7 • Chapter 11 • Sections 1,2,3 only • Exercises and Problems • 10.1, 10.16, 10.41, 11.12, 11.14, 11.56 • Due Tuesday April 14

  3. Plan for the Day • Some thoughts on Quiz of last Thursday • HW Questions • Torque • Simple torque problem • Rolling • Harder torque problem • Quiz (again!!!)

  4. Moment of inertia for common shapes

  5. Torque • A force applied at a right angle to a lever will generate a torque. • The distance from the pivot to the point of force application will be linearly proportional to the torque produced.

  6. Formal Definitions Torque Equation of Motion (like F=ma)

  7. Q10.1 F1 F3 The four forces shown all have the same magnitude: F1 = F2 = F3 = F4. Which force produces the greatesttorque about the point O (marked by the blue dot)? O F2 F4 A. F1 B. F2 C. F3 D. F4 E. not enough information given to decide

  8. Easy Torque Problem: the unwinding cable Method #1: Energy Calculate the speed of the Block when it hits the water Method #2: Forces and Torques Calculate the tension in the cable

  9. Rolling without slipping Key results: v = 0 at surface, vcm = R

  10. The race of objects with different moments

  11. Q10.5 Hard Torque Problem A glider of mass m1 on a frictionless horizontal track is connected to an object of mass m2 by a massless string. The glider accelerates to the right, the object accelerates downward, and the string rotates the pulley. What is the relationship among T1 (the tension in the horizontal part of the string), T2 (the tension in the vertical part of the string), and the weight m2g of the object? A. m2g = T2 = T1 B. m2g > T2 = T1 C. m2g > T2 > T1 D. m2g = T2 > T1 E. none of the above

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