wheel in a cylinder problem

by ranger1716
Tags: cylinder, wheel
ranger1716 is offline
Oct13-05, 07:07 PM
P: 18
wondering if someone could shed some light on this problem.

a wheel of radius r rolls around the interior of a cylinder of radius R. assume that the center of the cylinder is at the origin and at time t=0, the point of tangency is at the point (R,0). let P denote the original point of tangency on the wheel. we will investigate the motion of this point P on hte wheel. let vector v sub 1 (t) denote the vector emanating from the center of the wheel and ket theta(t) denote the angle v sub 1 (t) makes with the x-axis at time t. let vector v sub 2 (t) be the vector that emanates at the center of the wheel and terminates at P and let phi(t) be the angle that vector v sub2(t) makes with the horizontal at time t.

show that phi(t)=((R-r)/r)(theta(t))

I'm having trouble beginning this proof.

Any help would be appreciated.
Phys.Org News Partner Science news on Phys.org
Better thermal-imaging lens from waste sulfur
Hackathon team's GoogolPlex gives Siri extra powers
Bright points in Sun's atmosphere mark patterns deep in its interior

Register to reply

Related Discussions
The wheel on old Horse-Cart problem General Physics 13
Rotating Wheel Problem Introductory Physics Homework 1
wheel and axle problem Introductory Physics Homework 6
spinning wheel problem Classical Physics 1
Potter's Wheel problem Introductory Physics Homework 3