Recent content by CallumC

So the tension in each of the ropes, as there is 2, would be 100N. Would that therefore mean the unbalanced force would be 686.7-200= 486.7N?

I've tried that. The weight of the operator and his chair 686.7N meaning that the Tension in the two ropes holding him up should be 343.35N. Correct?

Homework Statement A boatswain's chair (or bosun's chair) is a device which is used to suspend a person from a rope to perform work aloft. It has a rigid seat and can be rigged, as shown in Fig.1, to allow the operator to haul himself upwards. [Naturally, in practice, it is wise to ensure that...

Original Question: A communications cable has a copper core with a concentric sheath of insulating material. If x is the ratio of the radius of the core to the thickness of the insulating sheath, the speed of a signal along the cable is given by: S=8x2ln(\frac{1}{2x}) Find the value of...

I think I could have the answer if someone just helps me find x from: (x+ ln(1/2x))=0

I don't believe I have a problem with basic differentiation as I have studied it for well over a year and have been fine with it, however I am definitely not an expert. Where about do you believe the problem lies?

Confused :confused: can someone write out the correct solution?

I was using the product rule: \frac{d}{dX}(fg)=f^{|}g+fg^{|}

I'll take you through my working: \frac{dS}{dx}=16x3+16xln(1/2x) 16x3+16xln(1/2x)=0. For maximum 16x(x2+ln(1/2x))=0 X2+ln(1/2x)=0

I'll take you through my working: \frac{dS}{dx}=16x3+16xln(1/2x) 16x3+16xln(1/2x)=0. For maximum 16x(x2+ln(1/2x))=0 X2+ln(1/2x)=0

S=8x2ln(1/2x) Find the value of x that gives a maximum. So far I have got, by differentiating: x2+ln(1/2x). [could be wrong] Btw the way in the question x is a ratio and so cannot equal zero. Please help and explain how to do it thanks :)

Thanks I've starting watching some Leonard Suskind lectures on gravity and they're really quite interesting!

Yeah I will definitely focus on my exams they are only in a few weeks, I think I need to get 4 A's to get into uni for it :/ pretty nervous atm

By the way I'm away to go into my lasts year at school. I understand Electronics, properties of matter and Newtonian physics quite well :) I'm hoping to do physics at uni

I worked out it should produce about 4.68x1018 J. That's obviously a theoretical value but how much it really produced I don't know. Anyone know what that kind of energy would do?