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Physics 218: Mechanics

Physics 218: Mechanics. Instructor: Dr. Tatiana Erukhimova Lecture 42. Please turn in your optional homework. If the block is pulled a distance x 1 to the right and released from rest, how long will it take the block to return to its equilibrium position?

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Physics 218: Mechanics

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  1. Physics 218: Mechanics Instructor: Dr. Tatiana Erukhimova Lecture 42

  2. Please turn in your optional homework

  3. If the block is pulled a distance x1 to the right and released from rest, how long will it take the block to return to its equilibrium position? How does this time change if the displacement is increased from x1 to 2x1? How fast will the block be moving at its equilibrium position for the x1 displacement?

  4. A bullet of mass m is fired with velocity of magnitude into a block of mass M. The block is connected to a spring constant k and rests on a frictionless surface. Find the velocity of the block as a function of time. (Assume the bullet comes to rest infinitely quickly in the block, i.e. during the collision the spring doesn’t get compressed.)

  5. Simple pendulum How long does it take to return to the equilibrium?

  6. Resonance amplitude

  7. Frames of reference An airplane flies from Houston to Tokyo in 14 hours, while the return trip takes only 10 hours. Find the wind velocity and plane speed with respect to air, if the distance is 7000 miles. W H T - airplane speed with respect to air.

  8. In the freely-falling elevator cabin you don’t feel any effects of gravity! You and all objects around you experience the same acceleration. In outer space you can imitate the effect of gravity by acceleration.

  9. Final exam: room 204 MPHY, 10:30 am - 12:30 pm, Wednesday, December 11. Help Sessions: By appointment Monday, December 2, 7:15 pm 204 MPHY Tuesday, December 3, 7:00 pm 204 MPHY Wednesday, December 4, 7:00 pm 204 MPHY

  10. Newton’s First Law Second Law Third Law

  11. Kinematics If is given, you can find and

  12. Work Energy Theorem

  13. does NOT depend on path!

  14. Mechanical energy is conserved!

  15. Conservation of Momentum If the collision is perfectly elastic, the kinetic energy is conserved!

  16. Circular Motion y x

  17. Conservation of Angular Momentum For symmetrical objects rotating about their axis of symmetry: R m2 Second Law: m1

  18. Harmonic Motion Resonance:

  19. Thank you for the great semester!

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