Recent content by Valdes

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    Engineering equations involving correlated variables

    Kinetic energy and speed are examples of correlated quantities. Two variables are correlated, in my sense of the word, if there exists a linear or nonlinear relationship between the two. The degree of correlation is measured by a correlation coefficient. My goal is to study the statistical...
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    Engineering equations involving correlated variables

    Hello, I'm carrying out an assignment on the simulation of correlated (random) variables. Can you suggest to me equations pertaining to the field of engineering (or science) that involve correlated variables? My question may sound redundant, because all equations create dependencies between...
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    Find Mass of Object X for Centre of Inertia to Match Vehicle Tyre's Axis

    All right, this is what I get when I leave them as vectors: m*vector OX + M*vector OG = vector 0 m*vector OX = -M*vector OG m*vector OX = M*vector GO m*OX = M*GO m*20 = 1 m = 0.05kg Is this what you mean?
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    Find Mass of Object X for Centre of Inertia to Match Vehicle Tyre's Axis

    OX and OG are distances. If: vector 0 = (m*vector OX + M*vector OG) / (m+M) Then: 0 = (m*OX + M*OG) / (m+M) This is mathematically correct.
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    Find Mass of Object X for Centre of Inertia to Match Vehicle Tyre's Axis

    They're not vectors in that step, because if a vector A equals a vector B, then their distances are equal. That's what I did there, if the null vector equals an operation including vectors, their distances are equal. Am I right?
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    Find Mass of Object X for Centre of Inertia to Match Vehicle Tyre's Axis

    This is much more clear... the thing is, the question didn't mention which centre of inertia, the tyre's or the system's. Anyway, this is what I got when I replaced G' by O: OO = (m*OG1 + M*OG) / (m+M) 0 = (m*OX + 10*OG) / (m+10) 0 = (m*20 + 10*0.1) / (m+10) m*20 + 1 = 0 20m = -1 m = -0.05kg...
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    Find Mass of Object X for Centre of Inertia to Match Vehicle Tyre's Axis

    I'm not sure... I think it's a reference to the tyre's G. Could you help me in this case? (G=O)
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    Find Mass of Object X for Centre of Inertia to Match Vehicle Tyre's Axis

    Yes, I meant (m+M) and M, sorry. The G' I considered is the centre of inertia of the entire group, ergo the tyre and the object itself. X is to be attached to the cover of the tyre, the latter is considered as a circle, therefore X is to be attached at the radius R, yes. I think the centre of...
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    Find Mass of Object X for Centre of Inertia to Match Vehicle Tyre's Axis

    Homework Statement The centre of inertia (G) of a heterogeneous vehicle tyre has a distance D=0.1cm from its axis of rotation (the tyre's). The axis is referred to as Delta. The mass of the tyre is M=10kg and its radius is R=20cm. O is the center of the tyre (belongs to the axis) Homework...
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