I need help with this problem. This is not a homework assignment, so please don’t send it over to the homework forum.(adsbygoogle = window.adsbygoogle || []).push({});

It involves mechanical engineering dynamics that probably are more subtle and advanced then first year mechanical engineering dynamics. It might involve tensor analysis. I don’t know.

We let a mass, designated as ##m_2##, slide along a straight track with one degree of freedom with no friction. The track is rigidly attached to the earth. There is a wire attached to ##m_2## so that it can be pulled at a constant acceleration. Attached on the other end of the wire is a second mass, designated as ##m_1##. A known force of magnitude F is applied to ##m_1##, such as a magnetic force, accelerating ##m_1## and ##m_2## along the track. We define the motion of ##m_1##-##m_2## to be in the positive y-direction. The wire makes an angle ##\theta## with respect to the x-axis, and for this problem we keep the angle ##\theta## constant. Thus, the givens are: ##m_1##, ##m_2##, F, and the angle ##\theta##. I want to know the tension in the wire for any constant angle ##\theta## between 0 and 90 degrees with the above givens.

On the surface this might seem like a trivial problem, but when I do a deeper analysis, it seems to be more complicated than I can handle. For example, when ##\theta## is zero degrees, intuitively, the tension in the wire would be at a maximum, and there would be no acceleration of ##m_1##-##m_2## in the positive y-direction, and when ##\theta## is 90 degrees, the tension would be a minimum, and there would be a maximum acceleration of m1-m2. But what would the tension in the wire be at any angle between zero and 90 degrees? I can’t get my head around this. Could someone please help me with this?

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# Wire tension that might involve tensors

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