**ERIC Number:**EJ931788

**Record Type:**Journal

**Publication Date:**2011-Jul

**Pages:**9

**Abstractor:**As Provided

**Reference Count:**5

**ISBN:**N/A

**ISSN:**ISSN-0143-0807

Slipping and Rolling on an Inclined Plane

Aghamohammadi, Cina; Aghamohammadi, Amir

European Journal of Physics, v32 n4 p1049-1057 Jul 2011

In the first part of the paper, using a direct calculation two-dimensional motion of a particle sliding on an inclined plane is investigated for general values of friction coefficient ([mu]). A parametric equation for the trajectory of the particle is also obtained. In the second part of the paper, the motion of a sphere on the inclined plane is studied. It is shown that the evolution equation for the contact point of a sliding sphere is similar to that of a point particle sliding on an inclined plane whose friction coefficient is 7/2 [mu]. If [mu] greater than 2/7 [tangent][theta], for any arbitrary initial velocity and angular velocity, the sphere will roll on the inclined plane after some finite time. In other cases, it will slip on the inclined plane. In the case of rolling, the centre of the sphere moves on a parabola. Finally the velocity and angular velocity of the sphere are exactly computed. (Contains 3 figures.)

Descriptors: Motion, Science Instruction, Computation, Mechanics (Physics), Equations (Mathematics), Scientific Principles

Institute of Physics Publishing. The Public Ledger Building Suite 929, 150 South Independence Mall West, Philadelphia, PA 19106. Tel: 215-627-0880; Fax: 215-627-0879; e-mail: info@ioppubusa.com; Web site: http://www.iop.org/EJ/journal/EJP

**Publication Type:**Journal Articles; Reports - Descriptive

**Education Level:**N/A

**Audience:**N/A

**Language:**English

**Sponsor:**N/A

**Authoring Institution:**N/A