initial velocity
v(t) = \frac{At^{2}}{2} - \frac{Bt^{3}}{3} + v_{o}
initial displacement
x(t) = \frac{At^{3}}{6} - \frac{Bt^{4}}{12} + x_{o}
at t = 0;
For v(t):
v(0) = v_{o}
since v_{o} = 0 at time t = 0
v(0) = 0
For x(t):
x(0) = x_{o}
since x_{o} = 0 at time t = 0
x(0) = 0when :
x(t) =...
Homework Statement
A body experiences acceleration "a" given by the expression a=At-Bt^2 where A and B are constants and t is time. If at time t=0, the body has zero displacement and velocity, at what next value of time does the body again have zero displacement?Homework Equations
a is in...
found the answer thanks for the advice
slice of cylindrical element anywhere inside cylinder
dV = 36{\pi}dy
dF = 32.2(62.4(\pi{36})dy)
work done from this differential element to the top: then (distance = 15 - y)
dW = 32.2(62.4(\pi{36})dy)(15-y)
W = \int_{0}^{15} dW
etc.
W = 25564974 lb-ft...
Homework Statement
Homework Equations
W = \int F dx
For density of water i used
D = 62.4lb/ft^3
g = 32.2 ft/s^2
g(D = \frac{m}{V})
gDV = mg
gDV = F
The Attempt at a Solution
i use limit from 0 to 6
W = \int_{0}^{6} F dx
W = \int_{0}^{6} gDV dx
W = \int_{0}^{6}...
Homework Statement
The planar region bounded by y = x, y = \sqrt{x} is rotated about the line x = -2.
Find the Volume.
Homework Equations
V = 2\pi\int_{0}^{4} R dAThe Attempt at a Solution
Solution:
y = -2
(-2)^2 = x
x = 4
y^2 = +- 2
the point of intersection should be (0,0) and (4,2)
now...
Homework Statement
I. Find the z transform and ROC of each of the ff sequence
1. x(n) = 2\delta{n} + 3(\frac{1}{2})^{n}u[n] - (1/4)^{n}u(n)
II. Use the Z transform to perform the convolution of the following sequence.
x[n] = 3^{n}u(-n)
h[n] = (0.5)^{n}u(n)
part III. Find the...
He doesn't show up in our group project(circuit testing, documentation, software etc.). My batch mates think he's the smart kid. He only relies on Test scores, but when it comes to projects (not only thesis) he doesn't show up/ work at all.
He even gives us the worst excuse we've ever heard...
your right i do have a glitch
1. = \cos(\frac{n\pi}{8})\cos^2(\frac{n\pi}{8})
= \cos(\frac{n\pi}{8})\frac{1}{2}(1+\cos(\frac{2n\pi}{8}))
= \frac{1}{2}(\cos(\frac{n\pi}{8}) + \cos(\frac{n\pi}{8})\cos(\frac{2n\pi}{8}))
= \frac{1}{2}\cos(\frac{n\pi}{8}) +...
Am i not going to simplify the trigonometric identity in number 1?
because i have another similar problem given in the book:
x[n] = \cos^2(\frac{n\pi}{8})
and the sol'n is
[PLAIN]http://img593.imageshack.us/img593/346/dsphomework1.png
Homework Statement
Determine whether or not each of the following signals is periodic if signal is periodic determine the fundamental period (note that these are discrete not continuous signals) Show your solutions
1. x(n) = \cos^3(\frac{\pi(n)}{8})
2. x(n) =...
btw the equations are not a continuous signal but discrete signal sry i didnt mention it in the 1st post
1.)
the only problem is i need to find the Least common multiple of the three to find the total number of samples in the period or N = 1/f
N1 = 16, N2 = 16 , N3 = 16/3
k/m=N1/N2 = 16 /...