Recent content by fisselt

Yeah, that's what I was figuring. Thanks a lot for the help. This discussion helped me out a lot!

I got - (5L^4)/36

I had -(2L)/3 to L/3.

While integrating with the 2/3 and 1/3, however I'm getting a negative answer. Should I switch the signs in this case?

Isn't this effectively what I've done originally? Perhaps the range is incorrect and I should figure center of mass of a 1 meter rod of this varying density? Something like -(L2)/3 to L/3.

I think this may be part of my problem as well. I know typically with rods spinning about the perp. axis we evaluate from the center point (hence the L/2 AND -L/2). For all the other problems we have done this has worked but I have never done one with density as a function. I expected an answer...

Should I be evaluating from 0 to L then? Meaning it would be (3L^4)/4

Homework Statement Calculate the moment of inertia of a uniform rigid rod of length L and mass M lying along the x-axis which rotates about an axis perpendicular to the rod (the y axis) and passing through it’s center of mass. The rod has a line density that is a function of location such...

I'm working on a lab where I have to go into some detail about moment of inertia. I understand the concept and everything but am a little confused by the equation that I found on wikipedia. I've seen only two equations for this: momentum=torque divided by angular acceleration and one...

Quick picture I just made.

Homework Statement Weight suspended by 3 cords. 1 from the weight goes up vertically to the knot. The next goes left 30° below horizontal and the last goes to the right 45° above horizontal. Homework Equations f=ma The Attempt at a Solution I don't think I've ever worked a problem...

Actually, it should be the integral of the change in y then. That would be w= L∫(1-cosθ) dθ Closer to the correct answer now?

Since, Tycosθ=mg then Ty=mg/cosθ. Then Tx =m(v2/r)sinθ Is this correct?

Homework Statement A child’s indoor swing consists of a rope of length L anchored to the ceiling, with a seat at the lower end. The total mass of child and seat is m. They swing in a horizontal circle with constant speed v, as shown in Fig. 6-2; as they swing around, the rope makes a constant...

I have a similar problem that I'm trying to understand. So would it be correct to say that the work=Δy=l(1-cosθ)? Is there no work done calculated in the x direction? I'm a little lost.