Now if we add a coefficient of kinetiflc friction.... Could we figure out velocity using conservation of energy?.. We'd have to figure out the work done by friction by integrating. Does this make sense?
@@PhysicsNinja Could you tell me why we'd have to integrate because won't the friction just act in the opposite direction of motion which in this case would be inwards? So your first equation would just become N = mg cosθ -mv^2/r + μK right ?
@@devgopinath The equation above is dimensionally incorrect - N is a force in Newton's and u_K is just a number so that doesn't work. Also, friction is always parallel to the surface.
Physics Ninja Oh sorry I messed up I always just applied frictional force opposite to acceleration which generally is the case but for circular motion it wouldn’t apply ig I’m just a beginner as you can see ✌🏻
Ok so how do we figure out how much time passes before this occurs? I tried to figure out like the total displacement of the object with respect to time and ended up with a separable differential equation, but the integral was not easy , perhaps impossible, to solve .... Hmmm...
Ah solving for time in systems with non uniform acceraleration is very hard. It always bothered me because it’s such a simple question to ask. In most cases, you can write down an integral expression which I would solve numerically. In only a few cases you can obtain an analytic expression.
You are really underrated , you should have 500k subscribes by now
Thank you very much, specially for the non-energy-conservation-version.
Glad to see these again!
I love this channel.
thanks helped me for IIT-JEE
I love you physics ninja thank you
It was very useful even after 5 years. Thank you!
i would hope physics doesn't change after 5 years (cue funny laugh track).
Thank you sir, the second method was really great.
I miss the Lagrangian or Hamiltonian approaches 😢 great video though!!🎉 thanks.
Sir, so what do we have to do to find the speed of the ninja when the ninja loses contact with the surface ?
Nice Explanation
Thank you. Nice explanation
Thanks for the help!
Why there will be no centripetal force?
Now if we add a coefficient of kinetiflc friction.... Could we figure out velocity using conservation of energy?.. We'd have to figure out the work done by friction by integrating. Does this make sense?
Yes, that’s how to do it.
@@PhysicsNinja Could you tell me why we'd have to integrate because won't the friction just act in the opposite direction of motion which in this case would be inwards?
So your first equation would just become N = mg cosθ -mv^2/r + μK right ?
@@devgopinath The equation above is dimensionally incorrect - N is a force in Newton's and u_K is just a number so that doesn't work. Also, friction is always parallel to the surface.
Physics Ninja Oh sorry I messed up I always just applied frictional force opposite to acceleration which generally is the case but for circular motion it wouldn’t apply ig
I’m just a beginner as you can see ✌🏻
@@devgopinath i've made my share of mistakes. No worries! You've reached jr. Ninja status now. Good luck with your class.
Ok so how do we figure out how much time passes before this occurs? I tried to figure out like the total displacement of the object with respect to time and ended up with a separable differential equation, but the integral was not easy , perhaps impossible, to solve .... Hmmm...
Ah solving for time in systems with non uniform acceraleration is very hard. It always bothered me because it’s such a simple question to ask. In most cases, you can write down an integral expression which I would solve numerically. In only a few cases you can obtain an analytic expression.
@@PhysicsNinja PLEASE TELL US HOW TO DO IT SIR….
Thank you good sir
I have a same task but with an ellipse and parabola. Does anybody have solution?
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