AUTOMOTIVE TECHNOLOGY TECH MANUAL
AUTOMOTIVE TECHNOLOGY TECH MANUAL
7th Edition
ISBN: 9781337794220
Author: ERJAVEC
Publisher: CENGAGE L
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Chapter 8, Problem 3TF
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Whether the given statement is true or false.

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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.
4.) 13.165* - Two billiard balls A & B (same mass m & diameter d = 2.37") are as shown. Ball A has velocity V₁ = 3 ft/s when it strikes B, which is at rest. B then moves in the x direction after impact. Find (a) angle 0, (b) the velocity of B after impact (VB'). Positional variables are x = 6" and y = 10", and e = 0.9.
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