I\'m really looking for a figure of the object\'s motion: where it is in the beg
ID: 1529865 • Letter: I
Question
I'm really looking for a figure of the object's motion: where it is in the beginning, where it is at the end, where the 0 of grav potential energy is, labeled (like why would you use L/2 in a certain part of the problem? Where did you get this measurement from?). From there, I know how to do the calculations if I know the setup.
A rigid body is made of three identical rods, each with length L = 0.575 m, fastened together in the form of a letter H, as in the figure below. The body is free to rotate about a horizontal axis that runs along the length of one of the legs of the H. The body is allowed to fall from rest from a position in which the plane of the H is horizontal. What is the angular speed of the body when the plane of the H is vertical?
I. I. fExplanation / Answer
conservation of energy for two L's
initial energy = mgL+mgL
final energy = mgL/2 + 1/2 I w2
where I = mL2 + m(L/2)2 = 5/4 mL2
2mgL = mgL/2 + 5/8mL2 w2
w = sqrt((2gL)/(gL/2 + 5/8 L2 )
w = sqrt(2*9.8*0.575-4.9*0.575/5/8*0.575^2)
w = 6.39 rad/s