right right, for some reason i thought i was looking at the problem from above. that clears up some things!
and for the conservation of energy, initially i think there is only grav potential, and when it is at its lowest point, there is rotational kinetic
so that would mean mgh = .5Iw^2 + mgh...
i think radial is V^2/r
im a little confused though. why would it be at the "lowest point" if the rotational axis is perpendicular to the page? isn't the height always the same?
its instantaneous velocity is tangent to the circular path and perpendicular to the radius, but I am not sure if...
ok so you have one puck moving straight to the right initially. this has a certain momentum. this certain momentum is equal to the momentum of both of the pucks after the collision (which you already stated)
initial momentum = .35 x 2.3 = .805 to the right (0 degrees)
if you know that one will...
Homework Statement
Two identical spheres, each of mass M and negligible radius, are fastened to opposite ends of a rod of negligible mass and length 2l. This system is initially at rest with the rod horizontal and is free to rotate about a frictionless, horizontal axis through the center of...
Homework Statement
A ring of mass 2.4kg, inner radius 6.0cm, and outer radius 8.0cm is rolling (without slipping) up an inclined plane that makes an angle of theta=36.9 with the horizontal. At the moment the ring is x=2.0 m up the plane its speed is 2.8 m/s. the ring continues up the plane for...
it took a lot of reviewing to find all the little errors i made, but i finally got it to work out
thank you very much for all of your help.
im glad you gave me that trig identity, I've honestly never learned any of them. perhaps in precalc last year, but I've never used any.
thanks again
ok, I'm pretty sure I've done all the math correctly, but I've gotten stuck again
i've gotten d by itself:
d = [2v^2cos^2(θ)sin(phi)/-gcos^2(phi)] - [2v^2cos^2(θ)sin(θ)cos(phi)/-gcos^2(phi)cos(θ)]
i am unsure how to get this into the original form, or if i made a mistake along the way
my second attempt definitely did not work. somehow i lost all of my "v"s
I started with:
dsin(phi) = vsin(θ)dcos(phi)/vcos(θ) - .5g((dcos(phi)/vcos(θ))^2
and ended up with:
d = (sin(phi) - tan(θ)cos(phi)) / (-gcos^2(phi))
should i factor out the dcos(phi)/vcos(θ) initially?
i see what you mean, but i am having trouble manipulating the variables to isolate d. so far i have:
d(sin(phi)) =(visin(θi)vicos(θi))/dcos(phi)-(gvi^2cos^2(θi))/2d^2cos^2(θ))