I understand elementary physics pretty well and can easily conceptualize the following but cannot understand part of the math. Someone starts swinging a weight overhead on a rope and, of course, as the angular velocity increases the radius tries to increase. This is witnessed as the orbit moving higher up until the rope becomes more perpendicular with the axis of rotation. I understand that as omega increases the increasing centrifugal force acts outward on the weight, normal to the axis of rotation (thus trying to increase the radius). What I cannot understand mathematically is what component of the force is acting in the upward direction that causes the weight orbit to move upwards. Can someone show this using the proper equations?(adsbygoogle = window.adsbygoogle || []).push({});

Thanks for any help

Bailey--

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# Circular motion question

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