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. 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...
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...
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...
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...
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...
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...
Homework Statement
The diagram attached shows a solid engineering component which consists of a solid cylinder of length L and radius r, together with a right circular cone with semi-vertical angle = 11 degrees.
The total surface area of the component is 481.
The component is to be...
Homework Statement
A "big screen" AB of height L is placed at a height h above a point C on the ground as shown (in the attachment). A person wishes to sit on the ground at a point D in order to watch a video on the big screen. She wishes to sit at a horizontal distance x away from C which...
Homework Statement
The matrix A is given as:
[25 , 5]
[-150 , -30]
find, in terms of m, the expression det(A-mI). This will be in a quadratic expression in m.
Homework Equations
det(A) = ad-bc
The Attempt at a Solution
i have no idea how to approach this but i...
Homework Statement
Given that a = (-1,16,-1) and b = (-18,-15,-15),
find the unit vector which is perpendicular to the plane containing a and b.
There are two possible answers. Choose the answer with a positive x component.
Homework Equations
(a*b) = (a2*b3-a3*b2)i -...
Homework Statement
An electric charge e which moves through a material of permeability μ with a velocity v, produces a magnetic field β at a point r given by:
β= ((μ*e)/(4*∏))*((v*ru)/(|r|)2)
where ru is a unit vector in the direction of r.
Find β if v=4i+3j+3k and r=4i+7j+5k.
Take...
Homework Statement
the problem is:
tan(theta) = cos(theta)
find theta: -pi < theta < pi
Homework Equations
tan(theta)=sin(theta)/cos(theta)
sin^2(theta)+cos^2(theta)=1
The Attempt at a Solution