Okay, so I have this so far:
$$A = \frac{1}{2}(t_1*v_0)r_A$$
$$A = \frac{1}{2}{t_2*v}r_P$$
but since I don't know the times I can't solve for v by setting them equal to each other.
Okay so I have that $$\frac{dA}{dt} = 0.5*rvsin(\theta)$$ but I don't know how to use it to solve for v. I know that $$\frac{dA}{dt}$$ is constant though.
Homework Statement
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I need to help solving part a)
Homework Equations
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$$v= \frac{2\pi}{T}$$
$$(\frac{T_1}{T_2})^2 = (\frac{r_1}{r_2})^3$$
The Attempt at a Solution
I'm not sure where to begin really. One approach I tried was getting T_1 in terms of v_0 and plugging it into...
Homework Statement
Homework Equations
$$mgh = \frac{1}{2}v^2$$
The Attempt at a Solution
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I'm working on a). I tried using conservation of energy to get v.
$$mg(c+b) = \frac{1}{2}v^2$$
$$v = \sqrt{2g(c+b)}$$
After this I'm stuck. In order to get distance from knowing the velocity...
Homework Statement
Show that a hollow cylinder of radius R_1, outer radius R_2, and mass M, is I=1/2M(R_1^2+R_2^2) if the rotation axis is through the center along the axis of symmetry.
Homework Equations
$$dm = \rho dV$$
$$dV = (2 \pi R)(dR)(h)$$
The Attempt at a Solution
I was mainly...
Okay that makes sense. I feel like you wouldn't get the quantity (M1-M2) unless you solved for T all the way through. Is there any way you can account for this edge case before you solve the problem?
Homework Statement
Just doing some practice problems from past finals and I needed some help on this one. Sorry if my question doesn't exactly fit the template.
2) Relevant Equations / Information
For part a) and for M_1, I drew the axes such that the x-axis points to the top right, in...
Homework Statement
A particle starting from rest revolves with uniformly increasing speed in a clockwise circle in an xy plane. The center of the circle is at the origin of an xy coordinate system. At t=0, the particle is at x=0.0m, y=2.0m. At t=2.0s, it has made one-quarter of a revolution and...
Hello,
I'm working on a design for an architectural structure, and I am choosing the material for the design. Are there any resources that will tell me the breaking point for like "1-inch" of material X. I need something that can support the weight of a car.
Thanks!
Carpetfizz