Coefficient Definition and 1000 Threads

There's a box sitting on a plank. The coefficient of static friction is 0.33. I want to figure out at which angle the box will begin to slide if the plank is tilted. I know the factors that come into play are FN, Fg or Fgx, and Fs. So far I have Fnet= FN-Fs-Fg =FN- μs-sin∅...

There's a box sitting on a plank. The coefficient of static friction is 0.33. I want to figure out at which angle the box will begin to slide if the plank is tilted. I know the factors that come into play are FN, Fg or Fgx, and Fs. So far I have Fnet= FN-Fs-Fg =FN- μs-sin∅ =cos-0.33-sin∅...

Homework Statement A 36kg girl slides down a slide that is 4.5m long. At the bottom of slide she is moving at 3 m/sec. If slide is inclined at 35 degrees find the coefficient of friction between slide and girl. Homework Equations Ff = μ*Force normal Total energy = KE + PE KE =...

Homework Statement The horizontal force P acts on the rim of the homogeneous cylinder of radius R and weight W. Determine the smallest coefficient of static friction that enables the cylinder to start rolling up the 30◦ incline. Homework Equations *depends on the fbd. refer below...

Not a question from a college course or anything like that, but one of interest to me:) You take a car tyre made of polyester and rubber, the treads are cut to about 7mm deep, the roads coefficient of friction are normally about 0.7 in conjunction with contact of the tyre, if the weight is...

Homework Statement m = 52kg theta = 10.3deg t = 5.8s d = 3.63 m Homework Equations The Attempt at a Solution Ok so here are my attempts. If they are way off, take it easy on me :). I am not very good at this. Am I missing negatives or am I way off on this? Are my trigs...

Homework Statement What is the coefficient of friction of a block resting on a board at a 15° angle to the horizontal. Homework Equations μ= Fk Mg The Attempt at a Solution I'm very lost at where I find Fk or Mg...? Thanks for help in advance.

What exactly does throwing the constant into your normal tuplet represent vs. a normal vector without the constant? (coefficient vectors = normal vector right?) My notes don't provide an explanation for this. I can visualize what parallel normal vectors look like, but then they talk about...

Hi, I want to find the coefficient of $\displaystyle x^4 $ and $\displaystyle x^{39} $ of $\displaystyle (1+x+x^2)^{20} $ I use the binomial theorem twice and come out with the following argument: $\displaystyle (1+x+2x^2)^{20}= [(1+x)+(2x^2)]^{20}$ I see that $\displaystyle T(r+1)={20 \choose...

Homework Statement A road with a radius of 74.8 m is banked so that a car can navigate the curve at a speed of 15 m/s without any friction. When a car is going 21.1 m/s on this curve, what minimum coefficient of static friction is needed if the car is to navigate the curve without slipping...

1) Find the sine Fourier series of $f(x)=x(\pi-x),\,0\le x\le\pi$ and show that $\displaystyle\sum_{k\ge1}\frac{(-1)^k}{(2k-1)^3},\,\sum_{k\ge1}\frac1{(2k-1)^6}$ and $\displaystyle\sum_{k\ge1}\frac{\sin\big((2k-1)\sqrt5\pi\big)}{(2k-1)^3}$ and to show that...

Homework Statement A block of mass 'm' is placed on an inclined plane which has an adjustable angle with the horizontal. The angle is increased slowly from zero until the block just starts to slide. This angle is called the critical angle, θs. Express the coefficient of friction in terms...

Homework Statement A coffee cup on the dashboard of a car slides forward on the dash when the driver decelerates from 48 km/hr to rest in 3.7 s or less, but not if he decelerates in a longer time. What is the coefficient of static friction between the cup and the dash? Homework...

Dear MHB members, Suppose that $p,f$ are locally essentially bounded Lebesgue measurable functions and consider the differential equation $x'(t)=p(t)x(t)+f(t)$ almost for all $t\geq t_{0}$, and $x(t_{0})=x_{0}$. By a solution of this equation, we mean a function $x$, which is absolutely...

Homework Statement Let n be an element of the positive numbers (Z+). Prove that 3 divides (3n n) or "3n choose n". Use the definition of a binomial coefficient to solve. Homework Equations Definition of a Binomial Coefficient: (n k) := ( n! / k!(n - k)! ) The Attempt at a Solution...

Homework Statement A box slides down a 31 degree ramp with an acceleration of 1.42 m/s squared. determine the coefficient of kinetic friction (mew) between the box and the ramp. Homework Equations F=ma Fnet=ma Fn(µ)=Ff The Attempt at a Solution Many attempts on paper but unable...

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Hi I am a mechanical engineering student currently busy with my final year project on spoilers I need to design manufacture and test a device to test different spoilers it must determine the drag coefficient of the spoiler and the down force generated by the spoiler without the use of an...

Homework Statement Consider P[0,1] the linear space of C[0,1] consisting of all polynomials. Show that the sequence {pn} where pn(t)=tn has the property that its coefficient sequences converge but the sequence {pn} does not converge in (P[0,1], ∞-norm). Homework Equations Observation...

I am having trouble determining what the force of friction of the box on a table described as below: Two blocks are arranged at the ends of a massless string. M1 is on the table. M2 is attached to another side of the rope hanging off of the side of a table with a massless pulley (90 degrees...

Homework Statement I've been following closely a book on PDE's working through lots of steps but here I'm stuck. Basically I have the relation f(x)= \sum _{n=1}^\infty F_n \sin \left ( \frac{n\pi x }{L} \right ). I want to calculate the Fourier coefficients F_n. I look at the definition in...

A radar of 10 GHz produces an electromagnetic plane wave. Conductance is 4 S/m and dielectric constant is 81. How do you ding the magnitude and reflection coefficient? Also the percent of the incident energy that is reflected?

Homework Statement A construction worker passes a brick to another worker by pushing it across a wooded floor. the brick has a mas of 2.7kg. The force required making the brick move with acceleration of 0.42m/s2 is 28 N. What is the co-efficient of kinetic friction acting on the brick? The...

Homework Statement Hi there. The question is: if f(x) is a periodic function with period 2pi and the derivative is f'(x) continuous on [-pi, pi] show that the Fourier coefficients of f' are kbk and -kak if the Fourier coefficients of f are ak and bk respectively. Homework Equations The...

Hello. Not sure if this is the right board to post. This is not homework. I am just self-teaching quantum physics as I read a book on the topic of X-ray Physics. It has about 30 chapters in total and so far I find myself having about 3 questions per chapter. Hope you guys don't mind me asking...

Homework Statement Trying to find the Nth degree Fourier polynomial of f(x) =e^x for x between -pi to pi. Homework Equations The Attempt at a Solution I'm trying to calculate ak which is given by 1/∏ ∫e^x cos kx dx from -∏ to ∏ I'm getting stuck here trying to use...

Homework Statement A 65.0kg person, running horizontally with a velocity of +4.25 m/s, jumps onto a 12.0-kg sled that is initially at rest. 1) Ignoring the effects of friction during the collision, find the velocity of the sled and the person as they move away. 2) The sled and the person...

*** Title says static - need kinetic friction!Homework Statement Find the amount of kinetic friction. A block with mass of 0.422kg slides down a ramp from rest. Given: acceleration = 1.58m/s^2, mass = 0.422kg, theta = 29.0°, velocity two (end): 1.7m/s, and total time is 1.10s. I also need to...

How can I design an experiment to find the drag coefficient of a cone without knowing the force of drag that is acting on the cone? Is this even possible?

I can't find the THEORETICAL definition of "strain optic coefficient" online. I googled and wiki'd enough. Can someone provide me with one, please?

Homework Statement We have an investigative project and our group's topic is inclined plane surfaces. I need help in getting the coefficient of friction of the toy car. We will investigate the coefficient of friction of different surfaces. Our teacher didn't (and will never) discuss to us...

Hi; can you help me to write a fortran program to calculate Clebsh-gordon coefficient?

Homework Statement 1.a block of mass 5kg moves on a rough horizontal plane with coefficient of friction (Dynamic) 0.2 under the action of a horizontal force of 30N. If the block starts from rest , find the distance it travels in the first 3 second. 2.a particle of mass 6kg,moving at 8m/s on...

Hi I am wondering would ye be able to help me out? I am instructed with the task of calculating the pressure drop and flow coefficient for a valve. Please see basic diagram attached for layout of valve. I need to find the pressure drop and flow coefficient when the ram is closed at different...

Homework Statement In the disc brakes that slow down a car, a pair of brake pads squeezes a spinning rotor; friction between the pads and the rotor provides the torque that slows down the car. If the normal force that each pad exerts on a rotor is 85 N, and the coefficient of friction is 0.62...

Homework Statement I have an almost-frictionless air-hockey style ramp and i place it horizontally on a table. A little cart goes on top and on one end of the cart, i attach a string which connects to a pulley and then connected to a weight, thus pulling the cart to one side with the force of...

I was conducting an experiment, and we had to use a radioactive source and a Geigor counter, in conjunction with aluminium plates. Using the data we produced we had to graph an absorption curve and obtain a value for the mass absorption coefficient of aluminium. Then we had to compare this...

Homework Statement a body of mass 10 kg lies on a rough horizontal surface with an acceleration of 5 m/s and when the horizontal force us doubled , it gets an acceleration of 18 m/s^2. Then the coefficient of friction between the body and the horizontal surface is: A) 0.2 B) 0.8 C)...

Homework Statement A uniform rod AB has a length l and a weight W0. End A is in contact with a rough wall, but it is not fixed. A massless cord connects end B and is fixed to the wall at point C. The rod AB is now horizontal and the angle formed between the cord and rod is θ as shown in the...

1. Homework Statement given: a large block ramp, a smaller block (one side wood, other side felt), and a stopwatch refer to this picture: http://01.edu-cdn.com/files/static/w...SLIDING_01.GIF you don't know weight, or θ but I do have the measurements for the x and y axis 2. Homework...

Hey, Quick question for you guys. How do you find alpha (damping coefficient, Neper frequency) for a circuit that's not strictly parallel or in series? For instance, α for a series RLC circuit is R/2L whereas α for a parallel circuit is 1/2RC; but what if it's different? Homework...

Homework Statement Determine the coefficients c_n of the Laurent series expansion \frac{1}{(z-1)^2} = \sum_{n = -\infty}^{\infty} c_n z^n that is valid for |z| > 1. Homework Equations none The Attempt at a Solution I found expansions valid for |z|>1 and |z|<1: \sum_{n =...

1. A wooden block of mass 29.0 kg sits on a horizontal table. A wire of negligible mass is attached to the right side of the block and goes over a pulley (also of negligible mass and frictionless), where it is allowed to dangle vertically. When a mass of 15.5 kg is attached to the dangling wire...

I'm really lost on how to do this physics problem because I don't really understand all the components of the problem: A 7.25 kg block is sliding at 5.45m/s on a frictionless lab bench which is 8.6m high. The block hits a 1m "rough patch" before sliding off of the lab bench, and then lands...

Homework Statement This is for an exam I had a couple weeks ago. It was a part of a "show that" question and the answer I got was completely wrong. Yet oddly I've been given full marks for the question, and looking at the paper now I still don't see why I have been. Full solutions haven't been...

Homework Statement A student working 3.0m away from you in a chemistry lab performs an experiment which creates a bad odor. It takes a while for the smell to get to you (assume air currents are negligible). You are able to move 2.0m further away from the source but the smell catches up with...

Homework Statement Find coefficient of static friction if shell starts to slip at θ = 60° known - θ unknowns - P, r, Normal force, weight Homework Equations friction = μ * normal force The Attempt at a Solution I do not know where to start. It looks like the picture wants you to...

Homework Statement A student working 3.0 m away from you in the chemistry lab creates a bad odour. The odour takes a while to get to you (assume that air currents are negligible). You then move 2.0 m further away, but the odour catches up with you in another 60 seconds. What is the diffusion...

Homework Statement I'll try to recreate from my memory the problem we've been assigned on a test more than one month ago. They gave the solution but I either misunderstood or miscopied it. An electron with kinetic energy 5 eV goes from a region with potential V_0=6 eV (let's call this region...

Homework Statement Calculate the pressure drag cofficient for a cylinder using the trapezoidal and simpson's rule (assume the flow is the same on both sides of the cylinder). Angle (deg) Cp 0 1 30 0.274 60 -1.565 90...