Imagine the following scenario. A pipe is strapped to a larger "host" pipe using a steel strap and a spacer block as shown in the image below. If anyone could have a look at my calculations to confirm they are correct that would be brilliant!
Variables
Assuming the following general values I...
Hi there!
Im trying to do an analysis in Abaqus of a cantilever pipe, with a tip mass at the free end, that is decelerating to a stop at 10 m/s2 from 10m/s, causing it to vibrate. The pipe is vertical, fixed at the top with the mass at the bottom, and it is moving in the x axis. To validate my...
Hi there!
Im trying to do an analysis in Abaqus of a cantilever pipe, with a tip mass at the free end, that is decelerating to a stop at 10 m/s2 from 10m/s, causing it to vibrate. To validate my results im doing some handcalcs. I have done a static analysis and calculated the maximum deflection...
Hi all
I was just wondering if anyone could help me with estimating error caused by misalignment of an optical arrangement. I am interested in how the focal length of this arrangement will be affected by say a misalignment of just one of the lenses. I'll assume that every component is aligned...
Homework Statement
The translational system in the first attachment represents the rear/front suspension of a car of mass 1262kg. The distance between the axles is 2.41m and the distance between the centre of mass and the front axle is 1.22m.
I am told that:
m2 = 40 kg
c1 = 800 Nm/s
k1...
ahh! ive been using sin instead of cos! i cant believe i did that.
so ive integrated
2/T ∫ f(t)*sin(n*π*t/T) dt between 0.5 and 0
and i get:
(22*cos(pi*n) - 11*n^2 *pi^2 + 22*n*pi*sin(n*pi) -22)/(2*(n^3 * pi^3))
since ive integrated for only half the period and between 0 < t < 0.5 i...
so for 0 < t < 0.5, f(t) = 5.5 - 22*t^2 ?
then do i add the integral of:
f(t)*cos((2*pi*n*t)/T) dt between -0.5 < t < 0
and -f(t)*cos((2*pi*n*t)/T) dt between 0 < t < 0.5
because wont that just equal zero?
well im not really sure what to use as the bounds for the integral... i got confused when it said the period was 1 but the function is only true between -0.5 < t < 0. i know since its odd its asymettric about the vertical axis and since its periodic it might have something to do with that? i...
Homework Statement
f(t) is an odd, periodic function with period 1 and:
f(t) = -5.5 + 22*t2 for -0.5 ≤ t < 0
i) find the Fourier coefficient bn
ii) find the Fourier coefficient b5
Homework Equations
bn = (2/T) * ∫ f(t) *sin((2*n*∏*t)/T) dt between T/2 and -T/2...
yes it is, i was trying that before but my answers kept coming up different to those given. i must have made some mistake when i rearranged the denominator. thanks for your tips :-)
Homework Statement
Vibration in a system can be a source of problems. For example, the deck on a ship could vibrate due to the engine which represents a forcing function. This system may be simply modelled by a mass, representing the deck, a spring representing the stiffness of the deck and a...
yeah i get that the darkest points as being in the centre of the long sides. so if i differentiate the original equation with respect to h and then set x=0, y=32, x0=80, y0=32 and q=1730600 and solve the equation equal to zero then i will get a value for h that maximises the luminance at these...
Hi Ray :-)
what is Maple? i have Mathcad v15 but i dont really understand how to use the 3d plots feature. is Maple any better?
So if i get expressions for the luminance at the both points, the centre of the side and at the corners, what do you then mean by 'find the h-interval'? and how would...
Homework Statement
A sports stadium is lit by four floodlights standing at the four corners of a rectangle which contains the rectangular pitch placed symmetrically inside it. The length of the rectangle is 160 metres and the width is 64 metres. This question is concerned with finding the...
oh ok, i havent done differential equations in about a year and thats just the method i thought my teacher taught me haha. thanks for setting me straight though guys :-)
Homework Statement
dT/dt + 0.4*T - 6.4 = 0
where T is the temperature at time t
initially the temperature is 86 degrees
find the temperature at t=2.3
Homework Equations
The Attempt at a Solution
so i rearrange the equation to get:
dT/dt + 0.4*T = 6.4
then
integral...
Homework Statement
Find all solutions to the following equation:
sin((5*x/2)+15)=0.433
where 0 < x < 360
Homework Equations
The Attempt at a Solution
i can find the first value of x that satisfies this equation.
(5*x/2)+15=sin^-1(0.433)
5*x/2=10.6581
5*x=21.2162
x=4.2632...
well you can say that:
5=((-4*x)^2+(-3*x)^2+(-1*x)^2)^0.5
where x is a constant. once you find x you can multiply the original vector by it to get a vector with magnitude 5 in that direction
im not really sure what you mean? are you saying that if i take the 5N vector acting along (-4,-3,-1) then i can say that that is equal to (-20,-15,-5)?
Homework Statement
A force of 5N acts along the vector (-4,-3,-1)
A force of 2N acts along the vector (-3,-6,5)
A force of 4N acts along the vector (-9,-1,8)
find the resultant force vector.
Homework Equations
The Attempt at a Solution
i tried to multiply the vectors by the...