Angular acceleration without rotation?

AI Thread Summary
Rod BD is fixed at collar C, which implies it is not rotating, leading to confusion about the relevance of angular acceleration. The discussion clarifies that since the rod is sliding through the collar, it does have degrees of freedom, allowing for rotation. The collar's ability to rotate at point C adds complexity to the kinematics involved. Ultimately, the conclusion is reached that the rod is indeed rotating, affirming the need to consider angular acceleration in this context. Understanding the dynamics of the system requires recognizing the interplay between fixed points and relative motion.
eurekameh
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If rod BD is fixed at collar C, it is not rotating, correct? Why is the angular acceleration being asked if it's not rotating?
 
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It's not fixed at collar C, it's sliding through it. It if were fixed, there would be 0 degrees of freedom, and OB could not be rotating.
 
it also looks like the collar can rotate at point C
 
This is also a kinematics problem, not an introductory physics problem, and involves using relative velocities.
 
Nevermind, it is rotating. Thanks!
 
Thread 'Variable mass system : water sprayed into a moving container'

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}...
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