ENGINEERING YOUR FUTURE
9th Edition
ISBN: 9780190279288
Author: Oakes
Publisher: OXF
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Chapter 5, Problem 5.6EAA
To determine
Some alternative methods to the usual methods of highways, bridge, parking facilities constructions to reduce the traffic congestion in urban areas.
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Suppose that in a system with generalized coordinates 0₁ and 02, the equations of motion are found to
be as follows.
ƒ (×1,$1‚Ï‚½‚†2,$2,01,01,02, 02, 02, 02) = Q1 + C₁
(1,1,1,1,1,1,0₁,01,02,02,02,02) = C₂
In this system, a nonholonomic constraint for 12 = 0 was introduced to solve for a constraint force. r₁ is
a constant.
Which of the terms in these equations should go to zero, and why?
3.) 13.152* - A sphere (m = 2 kg) is connected to a fixed point O by an inextensible cord (L = 1.2 m). The
sphere rests on a frictionless horizontal surface at a distance of x = 0.5 m from O when it is given a velocity
(V.) in a direction perpendicular to OA. It moves freely until it reach A', when the cord becomes taut. Find
the maximum possible velocity v. if the impulse of the force exerted on the cord is not to exceed F = 3Ns.
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