The equation for the change of position of an imaginary train starting at x = 0 m is given by x = - jaMt + cV. Find the M2 dimensions of a, b and c.[M: mass is the train, L:length of the train, V:instantaneous velocity]

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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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cV Find the
M2
aMt
The equation for the change of position of an imaginary train starting at X = 0 m is given by x=aM
dimensions of a, b and c.[M: mass is the train, L:length of the train, V:instantaneous velocity]
Transcribed Image Text:cV Find the M2 aMt The equation for the change of position of an imaginary train starting at X = 0 m is given by x=aM dimensions of a, b and c.[M: mass is the train, L:length of the train, V:instantaneous velocity]
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Equation of motion of an imaginary train is given by : x = aMt2 + bt2L + cVM2where Mis the mass of train L is the length of the train V is the instantaneous velocity of the train Using the rule of dimensional analysis : The Dimensions on the left hand side of the equation is equal to the dimensions on the right hand side of the equation . Also, the same dimensional quantities can be subtracted and added on both sides of an equation. Therefore, comparing the terms on the right hand side with the left hand side in terms of dimensions 

 

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