The time t taken by a capacitor of capacitance C in a charging circuit with a resistance R in series with it to accumulate charge q is given by the equationt=τln(q/(Q−q)),where τ is the time constant given by τ=RC and Q is the maximum charge the capacitor can have when fully charged in that...
If two spinning cylinders with different MoIs and angular speeds and different radii come in contact with each other at the curved surfaces, how to find out the final angular speeds given all initial parameters?
There will be a friction acting at the line of contact and perpendicular to it as...
Thanks for the link but this derivation also uses energy analysis. I want to find an approach that is similar to deriving the equation of motion of a massless spring with an attached mass.
I want to know the way to derive the time period equation of a spring mass system accounting for the mass of the spring but not using the energy analysis method but by proceeding in the same way as we do by ignoring the mass of the spring. Please help. I did not find any texts at my level. Any...
Thanks for the answer. I think that's the right one. It was meant to be a simple question though I made it look bigger than it should have been. How do you type the mathematical symbols and equations in PF posts? Sorry and thanks. I'm new to PF.
It's not about that I do not like the math but my instructor wanted me to come up with an explanation purely based on physics to describe the discrepancy. I have solved it on a whiteboard and kept the snapshots as it is difficult to write the maths online. All I needed was an explanation of the...
When you compute the average potential energy of a horizontal spring mass system from the mean position to the positive amplitude A, the value comes to be (1/6)kA^2. For the average kinetic energy over the same range and direction, it is (1/3)kA^2, which is double the average potential energy...