ok that's what i though.
but how would i find how long it takes for the disk to stop. it is initially moving up the ramp. i need to find if in the 8 seconds we are looking at this, if the disk stops and goes back down. or if after the 8 seconds it is still moving up the ramp.
i tried to do...
what is full roll??
is that the same thing as "rolls without slip"?
i know rolls without slip means that the contact point (where the disk meets the ramp) is the Instantaneous center which means it has no velocity at that point.
Rigid Body Momentum?
Homework Statement
**** PICTURED IS ATTACHED ***
The center of the homogeneous disk of mass m shown below has an initial velocity of v0
up the slope. Find the velocity of the disk after an elapsed time of !t, assuming that the
disk rolls without slip.
Use...
Homework Statement
An object is 1.75 m to the left of a lens of focal length 0.62 m. A second lens of focal length -2.7 m is 0.52 m to the right of the first lens. Find the distance between the object and the final image formed by the second lens.
Homework Equations
(1/x1)+(1/image)=...
nevermind i got it.
what you do is take your z component and set it equal to you plane so
8cos(ϕ) = 4 you get cos(ϕ)=.5 so you get ϕ= pi/3
then by symmetry you know your lower bound will be pi - (pi/3) which give you 2pi/3
these are the correct bounds :)
Homework Statement
Find a parametric representation for the part of the sphere x^2 + y^2 + z^2 = 64 that lies between the planes z = -4 and z = 4.
i have found
x = 8sin(ϕ)cos(θ)
y = 8sin(ϕ)sin(θ)
z= 8cos(ϕ)
0 ≤ θ ≤ 2π (n looking thing is pi)
now i need to find the bounds of ϕ...
Homework Statement
Find a parametric representation for the lower half of the ellipsoid 3x^2 + 5y^2 + z^2 = 1
x=u
y=v
z=??
we need to find what z is
The Attempt at a Solution
i solved the equation for z getting
z= sqrt(1-3x^2-5y^2)
then i plugged the given x=u and y=v...
oh ok... i got it now i forgot to take away the force of the crate pulling down on the crane. when i do that i get the right answer now.
thanks a lot srmeier!
Homework Statement
a 3.5 Mg engine is suspended from a spreader beam having a negligible mass and is hoisted by a crane which exerts a force of 40kN on the hoisting cable. determine the distance the engine is hoisted in 4 s starting from rest.
Homework Equations
f=ma
vf^2 = vi^2 + 2ad...
Homework Statement
evaluate the line integral, where C is the given curve
x sin(y)
and line segment from 0,3 to 3,7
i know the formulas and how to do the integrals
the part I am getting stuck on is finding the parametic equation for the function
(x sin(y))
i need this in...
cylindrical cordinace??
Homework Statement
this is a two part question and is multiple choice
part 1
Determine the type of the solid described by the given inequalities.
0 ≤ r ≤ 4, - pi≤ θ ≤ pi, -sqrt(16 − r^2) ≤ z ≤ sprt(16 − r^2)
a half-cylinder
a cylinder
a...
i don't work in cm i just write it out that way to show where I am getting my numbers from. i always try to convert my numbers to the basic S.I. units (if i remember haha)
i got all the answers but will keep those equations and study them with more examples because there will probably be...
um... my TA helped me on this one. you have to integrate Uo*I_1 / 2pi*r
he said Uo*I_1 / 2pi*r = B(r)*I_2*dr
you integrate this with respect to r and your bounds are 2 to 7 (left and right side of the box from the long wire)
when you integrate this you get the equation that i mentioned before