Finding the Acceleration of a Rod in an X-Y Plane

prat
Messages
14
Reaction score
0
a rod is vertically placed in x-y plane
a slight disturbance is given to it so that it is inclined at an angle (90-a) with the horizontal.
find the acceleration of the centre of mass

i think that the path followed by the centre of mass would be elliptical so its acceleration can be gsina
 
Physics news on Phys.org
You need to find the inertia about the center of mass with respect to the axis that the rod is falling through.
 
can you be more descripitive or suggest any way to solve the problem not understanding a bit
 
Um, I personally feel like what I told you has been pretty descriptive. If you want more specifics then give more specifics to work with. I don't know what what's holding you up, I can't read minds. Say the rod rotates about x-axis, so find moment of inertia about the say x-axis (or the end of the rod), use conservation of energy for the center of mass, or torque, or lagrangian.
 
Hi, I had an exam and I completely messed up a problem. Especially one part which was necessary for the rest of the problem. Basically, I have a wormhole metric: $$(ds)^2 = -(dt)^2 + (dr)^2 + (r^2 + b^2)( (d\theta)^2 + sin^2 \theta (d\phi)^2 )$$ Where ##b=1## with an orbit only in the equatorial plane. We also know from the question that the orbit must satisfy this relationship: $$\varepsilon = \frac{1}{2} (\frac{dr}{d\tau})^2 + V_{eff}(r)$$ Ultimately, I was tasked to find the initial...
The value of H equals ## 10^{3}## in natural units, According to : https://en.wikipedia.org/wiki/Natural_units, ## t \sim 10^{-21} sec = 10^{21} Hz ##, and since ## \text{GeV} \sim 10^{24} \text{Hz } ##, ## GeV \sim 10^{24} \times 10^{-21} = 10^3 ## in natural units. So is this conversion correct? Also in the above formula, can I convert H to that natural units , since it’s a constant, while keeping k in Hz ?
Back
Top