Homework Statement
Find the dimensions of an isosceles triangle of least area that can be circumscribed about a circle of radius R.
Homework Equations
Let a,b, and c denote the lengths of the sides of this triangle and c=b. Then the angles opposite these sides are A, B and C...
Hi, I am a noob to physics trying to get a better understanding of rigid bodies.
How do I calculate the torque, force at the center of mass of a rigid body given a torque whose axis is not going through the center of mass of the body?
Example(engine axis doesn't go trough com)...
Hi, I have a problem solving this question, I don't know if I am on the correct track for solving this. Suppose that the sum of the surfaces of a sphere and a cube is constant. Show that the sum of their volumes is smallest when the diameter of the sphere is equal to the length of an edge of the...
I have a question. I am going to start a major in physics next year but I can't picture myself giving classes infront of a lot of people. So I am not considering to teach at all.
If I finish a major in physics what are my chances of getting a work in engineery or applied physics only with the...
I have some confusion about when separation variables can be applied to a PDE. Can it be applied on any PDE that can separated for any domain? If so, is the use of more "powerful" techniques simply used to save effort? (As you might have to use superposition several times!)
I am redesigning a bicycle wheel quick release lever for a design project. I am trying to put together a force diagram as part of the project and I need to know the average force someones hand could apply to the tip of the lever to calculate the force exerted on the locking mechanism. Could...
Homework Statement
what would the generator, resonator and radiator be for a trumpet, clarinet and piano?
Homework Equations
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The Attempt at a Solution
A generator initiates a vibration, a resonator vibrates at the resonant frequency, and a radiator projects the vibrations into...
Homework Statement
A cabinet is pushed up a ramp at angle of 10 degrees. The cabinet weighs 100 kg. The friction coefficient is 0.30. What is the minimum applied force required to push the cabinet up the ramp? Calculate the time it takes to push the object up the ramp. The ramp is 15...
Hello,
For a given vehicle, I want to use a given chart for engine torque vs. engine speed (or hp vs. engine speed) and convert it to an approximate 'applied linear force' on the car (assuming no wheel slippage). I need a very rough approximation, so I've averaged the engine torque and...
Hello,
I have been lurking in the forum for a while. I have couple of questions that I cannot really find an answer to yet. If any of you have idea/suggestion/know of where to look at, I would greatly appreciate.
First question:
Let's put two different work function metal blocks to each...
Dear Mathematicians and Physicists,
In light of the coming fall semester, I am having a decision to take a full blown graduate level Elliptic PDE class. The prerequisites is of course Graduate level analysis and perhaps a undergrad class in PDE, both of which I already have. The class will be...
Homework Statement
A trunk of mass m = 2.3 kg is pushed a distance d = 187 cm up an incline with an angle of inclination q = 18.0° by a constant horizontal force P = 225 N (see figure). The coefficient of kinetic friction between the trunk and the incline is 0.22. Calculate the work done on...
Homework Statement
Hey guys how are you all.
Lets see, I'm not a physicist (mathematician actually) but I'm involved in this discussion (some may be aware...) and would like some physics help. (This is not an assessment, tutorial, university, school etc question.)
Here's the scenario...
Homework Statement
Єr = 3.0, atomic density = 1028 atoms/m3. The mag. of the E-field is 10,000 [V/m]. Two electrons in outer orbital shell will distort with an applied E-field. If both both electrons follow some orbital path as a pair, find spacing between center of nucleus and average...
I'm trying to get a sense of what the job opportunities are in applied and industrial math, in particular scientific computing and modeling.
I'm thinking about pursuing this as a career but have found it rather hard to find much specific information. Does this imply these sorts of jobs are...
Homework Statement
The table (below) shows the force needed to push a 10-kg box up a ramp as the angles increase. From the trend in the table, what is the applied force needed if the angle of the ramp increases to 50 degrees?
Applied Force (N) ; Ramp Angle (Degrees)...
Hi guys,
How can i learn Applied Maths?
I need to know from where i need to start to learn it.
I don't know anything about it.
And if there is any other things i need to learn please tell me.
Given that a particle P in space would have position vector r(t)= xi + yj + zk,we can find its velocity v(t) by determining dy/dx of r(t) and even go further to computing the speed v given by the magnitude of v(t).
With that being the case. If the magnitude of the speed v is defined, what...
I know this should be an easy question but I am just a tad confused. Here is the question:
A 15 kg object experiences an applied force of 5.5 N[N] and an opposing frictional force of 2.5 N[S]. If the object starts from rest, how far will it have traveled after 4.0s?
It would be wonderful...
Desperately need some advice PF, thanks so much for any input!
Background:
I am going to change my major from physics/astronomy to applied maths, for two reasons:
1. I seems to have more of a natural ability in math and programming than physics style problem solving.
2. I will be...
Firslty I should explain that I am neither a highly qualified engineer or physicist howver I am hopefull one of you out there might be able to help.
We have an 'A' frame with two legs attached to the deck on pins, the 'A' Frame is moved forward and backwards by two hydrualic rams positioned...
Homework Statement
Consider the work done on the block by an external agent as the agent applies a force on the block and the block moves very slowly from xi = -x max to xf = 0.
Homework Equations
W = Fs * dr = integral of (-kx) * dx from xi to xf
The Attempt at a Solution
The...
I recently applied to some grad schools for a PhD program and I was notified by one particular school that while my marks were under their admission requirements, they recognize that I have valuable background experience which may allow me to succeed and that they would circulate my file to...
Hi. I'm entering university this year and planning to do a double degree. My chief aim would be theoretical physics.
I'm facing the dilemma that my university's math department offers Mathematics and Applied Mathematics. Since I hope that my second degree would compliment and strengthen my...
Homework Statement
Two objects are on an incline plane. One object with larger mass is lower down on the plane. The other with smaller mass is leaning on the larger object but not one the surface of the plane. If both masses, the angle β, coefficient of static friction and the coefficient...
Would a PhD be required to work as an applied physicist in non-academic settings? Or are there a good number of locations, positions, etc. where a person with a least a BS in applied physics may be employed to directly apply her/his knowledge of applied physics?
Homework Statement
Hi, I'm taking a Chemistry NMR & MRI class and were going over the part where the time domain graph is converted to the frequency domain graph by way of the Fourier Transform. I took Applied Mathematics last semester and we spent a week on the Fourier Transform but no time...
Hi guys, I thought of something when I was rolling something.
In a nut shell, why is it easier to roll an object once it started rolling, and what would be the force required to keep the object rolling?
Let's use a car as an example, when you push the car, it will only start rolling once...
In the arrangement shown, find the necessary relationship between the capacitances of the four capacitors in order that when a voltage is applied across terminals a and b, no voltage difference is set up between terminals c and d. Would this arrangement work for the case of the voltage applied...
Electromagnetics applied to Capacitor
Homework Statement
consider the circular cylindrical parallel plate capacitor shown. The cap has height hc, diameter 2a, and its interior volume is filled with a linear and homogeneous material with permittivity epsilon=e'-je'' and conductivity sigma. A...
Homework Statement
If you exert a force of 175 N at a downward angle of 35 degrees on a box with a total mass of 125kg for a distance of 15m, and the box and the floor have a uk of 0.25, what is the work done?
Homework Equations
F= (m)(a)
Fk= (uk) (Fn)
W = (F)(d)
The Attempt at a...
i been trying to understand this and basically the answer i got was it makes it easier to solve for product of sums...is this close to being correct? could you explain how it is applied. thank you.
If I'm going to apply the superposition principle and say something like V = V_1 + V_2, I need to make sure that my V_1 and V_2 are established with a common zero point for the potential, right? So, for example, one of them can't have been determined taking the zero point of the potential to be...
http://img211.imageshack.us/img211/6048/a1a1.gif
http://img17.imageshack.us/img17/6684/b1b1.gif
May i know actually why initially 2SA+SB=l , but after differentiate, it becomes 2 aA = -aB ?
why does the l disappear?
I'm currently a master's student in physics. I really don't want to go on to a phd. I feel that in order to be a better physicist, I need more math training. I didn't do a math double major as an undergrad, and now I wish I did. How much would I get out of a math degree? Is someone with two...
Homework Statement
A pair of masses M1, M2 is suspended vertically by a pair of spring, with spring constant k1, k2. ( see the attachment for the picture)
a.A downward force F is applied to bottom mass. Find the downward displacements d1 and d 2 of the equilibrium positions of the Mass...
Applied and Computational Mathematics??
Hi,
Honestly, I don't know how to put my question in words. However, I will give it a shot. I have completed Engineering degree in Electronics so i have good knowledge of mathematics and also Programming.
Recently I am using Mathematica to...
Hello all,
I was looking to determine the force applied on a plate A by another plate B which is pushing down on plate A to hold it. what are all the information required to calculate the force and how? (see attached pic)
Thanks
Two forces are applied to a 2 kg object floating out in space. One force has a magnitude of 20 N and the other has magnitude of 30 N. Which of the following represent the minimum and maximum of the possible acceleration that the object can have, depending on the relative directions of the two...
Homework Statement
Suppose you are driving a light weight pickup truck, and it takes 15m of stopping distance to stop when you are traveling 5 m/s, using max. force from the brakes.
1. Suppose you really load up the truck, so that the mass of the loaded truck is twice that of the unloaded...
for a mechanical engineering student can u suggest a good book on applied thermodynamics which should cover topics on ic engines (valve control, carburtition etc), compressors, turbines,propulsion etc.
Book should also be theorotical in approach rather than just being too mathematical.
Hi,
May I ask, if there is a sufficiently long rod falling vertically downwards due to gravity, and then at an instance, a horizontal force is applied at one end of the rod, will this force create a torque on the rod? If so, where is the axis of rotation?
Second question, if a body, not...
I am currently a junior in College, and for awhile now, I have had my heart set on going to graduate school to get a masters and PhD, and eventually become a professor. But lately, I have been thinking that Graduate school in math may be a bit too hard and stressful for me. What are some other...
Homework Statement
Three boxes rest side-by-side on a smooth, horizontal floor. Their masses are 5.0 kg, 3.0 kg, and 2.0 kg, with the 3.0-kg mass in the center. A force of 50 N pushes on the 5.0-kg mass, which pushes against the other two masses. What is the contact force between the 3.0-kg...
Hey all.
I was just wondering: what roles (if any) are there at power plants (particularly nuclear) for ppl with just an undergrad in applied math/physics?
I am asking, b/c, despite the fact that I often read that ppl with an undergrad in physical sciences can do engineering, I also read...
Homework Statement
Suppose x = (x1, x2, ..., xn)T ∈ Rn is a random vector drawn from the n-dimensional
standard Gaussian distribution N(0, I), where 0 = (0, 0, ..., 0)^T (0 vector transpose) and I is the identity matrix.
(a) What distribution does ||x||^2 follow? Justify your answer.
(b) On...
Homework Statement
tansquaredB=4
solving for B
Homework Equations
This is algebra applied to Trigonometry, through simplification, to arrive at several different answers involving the degrees of angles.
I hope this applies to Physics since physics is "applied Mathematics"...
Homework Statement
Prove that, under the right assumptions, lims tends to infinity sn+1F(s) = f(n)(0+)
The Attempt at a Solution
I don't have a problem with the common initial-value theorem, under the assumptions that both f and f' are partly continuous and of exponential order. Then I...