1 / 8

Rotational Kinetic Energy & Frictional Forces in Mechanics

Explore rotational motion of symmetrical objects, yo-yo dynamics, and friction coefficients on inclined planes in this lecture. Calculate accelerations, speeds, and distances using energy considerations.

maryannwatts
Download Presentation

Rotational Kinetic Energy & Frictional Forces in Mechanics

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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?

More Related