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Physics 218: Mechanics

Physics 218: Mechanics. Instructor: Dr. Tatiana Erukhimova Lecture 39. 90. 8 0. 7 0. 6 0. 50. Average 70 Median 72. High 97. For symmetrical objects rotating about their axis of symmetry:. Second Law:. R. m2. m1.

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Physics 218: Mechanics

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  1. Physics 218: Mechanics Instructor: Dr. Tatiana Erukhimova Lecture 39

  2. 90 80 70 60 50 Average 70 Median 72 High 97

  3. For symmetrical objects rotating about their axis of symmetry: Second Law:

  4. R m2 m1 The rope is assumed not to slip as the pulley turns. Given m1, m2, R, and I find the acceleration of mass m1. I

  5. Rotational Kinetic Energy

  6. A primitive yo-yo is made by wrapping a string several times around a solid cylinder with mass M and radius R. You hold the end of the string stationary while releasing the cylinder with no initial motion. The string unwinds but does not slip or stretch as the cylinder drops and rotates. Use energy considerations to find the speed vcm of the center of mass of the solid cylinder after it has dropped a distance h.

  7. Ex. 7 Find the minimum value of the coefficient of friction in order for a cylinder to roll without slipping down an inclined plane of angle θ.

  8. A cylinder is started out on a flat surface with velocity of magnitude v0 and no angular velocity. The coefficient of friction between the cylinder and the surface is . We are given that the cylinder has mass M, radius R and moment of inertia about its central axis, I. How far will the cylinder go before it stops sliding, before it rolls without slipping?

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