What is the Frequency of Oscillation for a Gibbon Hanging on a Tree Branch?

AI Thread Summary
The discussion focuses on calculating the frequency of oscillation for a gibbon swinging from a tree branch. Key parameters include the gibbon's center of mass at 0.481 m from the branch and a rotational inertia to mass ratio of I/m = 0.256 m². Participants are encouraged to attempt solving the problem and share their progress to receive targeted assistance. The importance of showing work is emphasized to facilitate better guidance. Accurate calculations will lead to a clearer understanding of the gibbon's oscillation frequency.
gillammd
Messages
1
Reaction score
0
A gibbon, hanging onto a horizontal tree branch with one arm, swings with a small amplitude. The gibbon's center of mass is 0.481 m from the branch and its rotational inertia divided by its mass is I/m = 0.256 m2. Estimate the frequency of oscillation.
 
Physics news on Phys.org
Have you tried solving the problem yet? We need to know where you are having difficulty before trying to help. In other words: Show us your work.
 
Thread 'Variable mass system : water sprayed into a moving container'
Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
I was thinking using 2 purple mattress samples, and taping them together, I do want other ideas though, the main guidelines are; Must have a volume LESS than 1600 cubic centimeters, and CAN'T exceed 25 cm in ANY direction. Must be LESS than 1 kg. NO parachutes. NO glue or Tape can touch the egg. MUST be able to take egg out in less than 1 minute. Grade A large eggs will be used.
Back
Top