1. Homework Statement
Water at a gauge pressure of 3.8 atm at street level flows into an office building at a speed of 0.80 m/s through a pipe 5.4 cm in diameter. The pipe tapers down to 2.6 cm in diameter by the top floor, 20 m above (see figure here...
ah, I see. That makes so much more sense now XD. so Itotal=(1/3L2*M + 30/16L2*m), so to get K it would be (1/2)(Itotal)w2 and in this case w=50rev/min
so Itotal=(1/3(.87m)2*2kg + 30/16(.87m)2*.3kg)=.93035625kg*m2
K=(1/2)(.93035625kg*m2)(5.235987756/s))2=12.75312242 kg*(m2/s2)
OK got it, thank...
yeah, relative to the end its rotating about. but is that I equation you gave supposed to be the total I? more specifically is the (30/16L2*m) part the I for all the particles summed together? and if it was all the particles added together what would L be?
Well what you're describing pretty much sounds like what I did, Find the I of the rod which is just (1/3)Md^2 where d = .87m. Then find the Inertia of each particle with a varying L which would come out as L1=0, L2=.2175, L3=.435,L4=.6525,L5=.87. so the general form for the Inertia of the...
Homework Statement
Five identical particles of mass m = 0.30 kg are mounted at equal intervals on a thin rod of L = 0.87 m and mass M = 2.0 kg, with one mass at each end of the rod. If the system is rotated with angular velocity ω = 50 rev/min about an axis perpendicular to the rod through one...
Awesome, the explanation in my book was surprisingly good. Got the problem using the cross-product. And I think I get why that works, anyways thank you very much for your help.
Well I've never seen cross-product before, and the PF library explanation...kinda confuses me. So I looked it up in my physics book, apparently its not discussed until the chapter AFTER the one that this homework is in. I'm going to take a look at the book now and hopefully I'll get somewhere.
No, you're right. by cross-producting it do you mean like dot product? and even if you did this how is the torque in the Tz/k-hat direction not zero when there is no force applied in that direction
Homework Statement
A thin 7.0 kg wheel of radius 32 cm is weighted to one side by a 1.0 kg weight, small in size, placed 25 cm from the center of the wheel.
(a) Calculate the position of the center of mass of the weighted wheel.
*edit* found the CM, its 3.125cm from the center *edit*
(b)...
Homework Statement
A wheel of diameter 34.0 cm is constrained to rotate in the xy plane, about the z axis, which passes through its center. A force vector F = (-30.0 i-hat + 39.6 j-hat) N acts at a point on the edge of the wheel that lies exactly on the x-axis at a particular instant. What is...
Well unfortunately the assignment is past due already, but on the plus side I know the correct answer. apparently its 11200 m/s. not sure how but that's what it says in the answer key.