Recent content by compwiz3000

Why do you not need to take into account the translational kinetic energy?

Can't we treat the cylinder as part of the system? If so, then wouldn't the torque be internal and thus conserve angular momentum?

haha I forgot that angular momentum is a cross product

So what does this net force do? Does the 15N applied force and the tension from the spring only push the large mass? Does it contribute nothing to the stretch in length?

How can you prove that the lowest point does indeed occur when the velocity is tangent again? And why do we need to know that it is tangent? Is something not conserved otherwise?

What happens to the 9N force exerted on the larger mass? How come that doesn't contribute to any extension in the spring?

The path you are describing is the Hohmann transfer orbit, right? How much velocity boost would I be saving in your case? It is not feasible to directly launch to the ISS? Also, if I use the energy conservation law with an initial thrusting of v_i and a final velocity of 0, the satellite would...

What do you mean by "needed velocity at launch"? And is my approach correct?

If we launch a satellite to a circular orbit around the Earth at height 357.1 km, to find the velocity needed at launch, do we just set the energies equal?: - \frac {\mu}{2\left(r_E + h\right)} = \frac {v_L^2}{2} - \frac {\mu}{r_E} and then solve for v_L? \mu = GM, where M is the mass of the...

Can somebody explain this in detail?

Thanks for the energy solution. I do prefer that solution. I just didn't think of how to do it that way. Could you also show me a way to do it with integration?

So is my calculus way rigorous or correct? I tried to use v_f^2=v_0^2+2ax in my first attempt...is that wrong? And for the rigid rod, I can drop the term because I can just have almost 0 kinetic energy at the top, right?

Thanks. Also, in my original solution, I wasn't sure if it was correct to say v_n^2+2a\, dx = 0 Can I just put that dx in there? I kind of just guessed that I could do that. Can somebody more rigorously do my solution for a rigid rod? Also, can you elaborate on this? "At the minimum initial...

A bullet of mass m_1 strikes a pendulum of mass m_2 suspended from a pivot by a string of length L with a horizontal velocity v_0. The collision is perfectly inelastic and the bullet sticks to the bob. Find the minimum velocity v_0 such that the bob (with the bullet inside) completes a circular...

What if I cannot assume the masses are negligible? How would I derive that? And in that case, would angular acceleration increase?