Please help me with this:
How do you integrate the sum (or difference) of trig functions divided by the sum/difference of trig functions? Eg:
The integral of:
(8cosx + 6sinx)/(3sinx + 4cosx).dx
How do you integrate general functions of that form?
Hint: it may need you to add or multiply by an integral than can be done (ie, a simpler integral).
Please help, I missed the tutorial because it fell on a public holiday!
Thanks.4 AnswersMathematics1 decade ago
Is it possible to measure gravitational acceleration 'g' near the earth's surface using a centrifuge? Someone told me that if you put a small object like a pebble in a centrifuge, start the centrifuge off at a high speed, and slowly lower the angular speed. At the speed the pebble falls out, the gravitational acceleration will equal omega squared times r (radius); is this valid? (omega is angular speed, the derivate of the angle with respect to time, or 2pi radians/period if angular speed is constant)
I do not think so, because the force here is the frictional force between pebble and centrifuge, and not the gravitational force.
Also, If you swing anything in a vertical, circular pattern, anything inside of it will experience two forces at the top of the arc. If the measurable, centrifugal force is less than the force of gravity, the object will fall. Is this correct? If so, can this be used to measure 'g'?
If not, is there a way to measure 'g' using a centrifuge? Thank-you.4 AnswersPhysics1 decade ago
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