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mukushla Group Title

before going to bed :) Particle P satisfies the differential equation\[ \frac{\text{d}\mathbf{r}}{\text{d}t}=\mathbf{c}\times \mathbf{r}\]show that P moves with a constant speed on a circular path. where c is a constant vector

  • 2 years ago
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  1. CliffSedge Group Title
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    If c is constant then cross-product unnecessary, right? It's a scalar multiple?

    • 2 years ago
  2. henpen Group Title
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    I'm tempted to say experiment, as electrons do this (Lorentz force), even though it's second derivatives involved the result looks very similar. It's not the answer, but it's an interesting analogy.

    • 2 years ago
  3. henpen Group Title
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    And obviously it wouldn't always be circular, unless it starts of perpendicular, that would be circular if you looked parallel to the c-feild. And if it starts parallel, then it's just a straight line, but I'm avoiding the question.

    • 2 years ago
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