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I need some help with some of my homework questions from tutoring, if you can solve any of these and show your working it would be greatly appreciated. 8. A cap of depth 'h' is cut from a sphere of radius 'r' units. Find its volume. Answer: ((pi*h^(2))*(3r-h))/3 15. The portion of the curve...

Thanks these are very helpful :)

that would be great thanks a lot :)

Thanks yes this seems correct, I was getting very confused because our teacher didn't go over back emf very well. Good luck getting that 99.9, I think I'll settle with a 98 haha :)

With reference to Lenz's law explain why it is harder to turn a generator when it is connected to a load (e.g. a light bulb) than when it is not connected to a load. (3)

Ok I'm back with two more questions - this time on projectile motion :spin: 8. A particle projected with speed V can just reach a certain point on the horizontal plane through the point of projection. Show that to hit a target h metres above the ground at the same horizontal distance using the...

As usual thanks for the great in-depth reply. The solution is absolutely crystal clear. I always seem to struggle with getting the diagram in these pendulum questions, especially with multiple masses :blink2:

Ok my next question is on conical pendulums: 4. A smooth hollow cone of semi-vertex angle a is placed with axis vertical and vertex downward. A particle moves in a circle on its inner making nrevolutions per second. Find the distance of the particle from the axis of the cone at any time...

Perfect just as I thought. Thanks for the help!

Alright thanks so much for all ur help :D I'm in the middle of my 90 question mechanics marathon so I'll let u know if I have any other questions.

Terribly sorry about that... I thought it was a standard notation to write kg wt since my tuition uses it all the time. Basically 1kg wt is 9.8kgms^(-2) or 9.8N. Your vector method for i) makes sense to me. I do believe the answer to ii) may be correct. Would you be kind enough to post how u got...

Another mechanics question... This time on circular motion. 10. A smooth circular disc rotates in a horizontal plane with angular velocity w rad/s about a vertical axis through its centre C. A particle P is connected by light, inextensible strings to points A and B on a diameter of the disc...

Thanks a lot! Would've been here for a long time. Makes sense though now cheers :)

Hey, Can someone please show me their working out on how to solve this question... Been stuck on it for the last hour. 2. A particle of mass m moves under a retarding force that is proportional to the cube of the speed. Find how long it takes to travel a distance d from the instant speed was...