Help calulating the monent of inertia

  • Thread starter Thread starter parttime
  • Start date Start date
  • Tags Tags
    Inertia
AI Thread Summary
To calculate the moment of inertia for a structure made of three identical thin rods, each of length L and mass M, the appropriate formulas are Icm = 1/12 ML^2 and I = 1/3 ML^2. The moment of inertia for Rod C, which is aligned with the axis of rotation, is determined to be 1/3 ML^2. For Rod A, the moment of inertia must consider the varying distances of its particles from the axis. The Parallel Axis Theorem is necessary for calculating the moment of inertia for Rod B. The discussion concludes with the participant confirming their understanding of the calculations.
parttime
Messages
13
Reaction score
0
attachment.php?attachmentid=7049&d=1149234489.gif
three identical thin rods each of length L and massM are welded perpendicluar to one another determine the monemt of inertia of the structure pink line is the axis of rotation. i think i need to use Icm= 1/12 ML^2 and I=1/3ML^2
but not sure which rod uses which formula
 

Attachments

  • moment_of_inertia.GIF
    moment_of_inertia.GIF
    1.5 KB · Views: 530
Last edited:
Physics news on Phys.org
If the pink line is passing through the end of C then the MI for Rod C is 1/3ML^2.

For MI of A, think of the distance of different particles of the rod A from the axis.

For MI of B you have to use Parallel axis theorem. Go through it.

MP
 
thanks i got it now
 
Thread 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top