Coefficient Definition and 1000 Threads

Period does not depend on amplitude. Correct? I deduced this from the equations for simple harmonic motion: ω=2πf ω=√(k/m)

While writing a physics report, I obtained a data that for balls of rough surfaces, there is a higher drag force and thus the ball can stay stable at a much smaller angle when put up in an airstream. However, while analyzing this result, I found out that the drag coefficient is not always...

diffusion coefficient meaning is the coefficient of particles diffuse when different in concentration. How about diffusion coefficient of a particle? the trajectory where a particle diffuse?

Hello, I understood that in low velocities the standrad drag equation: F_d=\frac{ρv^2C_dA}{2} Could linearized to something like: F_d=γv I am looking for the drag coefficient(either γ or Cd) for either a prolate or a tri-axial ellipsoid at low velocities (less than 0.5 m/s) in water. I found...

Consider the system: A block of mass M is placed on a level table and connected to a mass m by a light string running through a pulley. If mass m is released, it will start to fall and the wooden block will be pulled across the table. Prove that the kinetic friction coefficient can be given...

Hi Everyone, I'm trying to find the initial speed of a motorcycle that was involved in an accident. The driver lost control and the bike dragged along the asphalt for some distance. I know several variables but my physics is not a strong suit to say the least. Any help would be much...

β= (1/v)(∂v/∂T)constant pressure. What is the v represent? molar volume? If I am given the β and the change of temperature, how to calculate the change of volume? or it is not enough information to calculate it? Thank you.

Hi I have a question on the transmission coefficient in classical optics. When we say that a medium has a transmittance of e.g. 99%, then 99% of the incident light intensity is transmitted. But will the light also acquire a phase? I tried searching the web, but all I found was this...

Homework Statement Let X and Y be two independent exponential random variables with a common rate parameter λ>0. Let W=X-Y. a)Find the pdf of W=X-Y b) Find the coefficient of kurtosis of W=X-Y Homework Equations f(x)=λe^(-λx) f(y)=λe^(-λy) f(x,y) = (λ^2)e^(-λ(x+y)) Kurtosis =...

$$ u_y(x,\pi) = \frac{x}{\pi} + \sum_{n = 1}^{\infty}nB_n\sin xn\cosh\pi n = 0. $$ How can I solve for $A_n$ here?

Coefficient of friction!? Homework Statement How would you figure out the coefficient of sliding friction between two sheets of paper ?. Homework Equations The Attempt at a Solution I intended to make a ramp out of one paper and and put the other paper on top of the ramp. Adjust...

Ok so I tried making myself a free-body diagram but I reached a dead end.. Step 1) fkinetic = μkn fkinetic = μk(251) fkinetic / 251 = μk Step 2) Fx: T1 Fy n = (m)(g) = 251 N 120.5 N Step 3) ƩFx = m(-a) since it's moving the left or ƩFx = 0 (since it's moving at CONSTANT velocity) ƩFy = ma...

Homework Statement So a hot wheel was put on a linear track, and one end of the track is slowly lifted until the cart starts to move. The height of the one end is measured as 6.45cm and distance (or hypotenuse) is 189.5cm mass of hot wheel is 45.7 g Homework Equations PE = mgh KE =...

Homework Statement Original Length = 6.736 mm Final Length = 7.802 mm Initial Temp = 21.7 C Final Temp = 99.5 C Homework Equations Coefficient = (Change in Length) / (Original Length * Change in Temperature) The Attempt at a Solution Change in Length = 7.802 - 6.736 = 1.066 mm...

Homework Statement A 20.0g object is placed against the free end of a spring (k = 25.0 N/m) that is compressed 10cm. Once released, the object slides 1.25m across the tabletop and eventually lands 1.60m from the edge of the table on the floor. Is there friction between the object and the...

Homework Statement For our lab we had to find the coefficient of kinetic friction for a cart on a linear track. We pushed the cart on the track and it went through two photogates which measured the time it spent in the photogate. So through the 1st photogate = 0.0040s 2nd photogate = 0.0062s...

Homework Statement We have a car with mass of 1200kg driving at 55km/h. It suddenly starts breaking. The breaks "work" on every of the 4 wheels with the constant torque of 12Nm. The radius of the wheels is 0,21m. Question 1: How long does the car travel before it stops if the wheels have...

Hi all, I'm in an algebra based physics class so I apologize if the way I approach the problem is different from what you might be used to. A buddy of mine is calc based physics always gets confused about how I set the problems up. Also, this is my first post! Thanks in advance for the help...

Homework Statement (see attachment) Homework Equations The Attempt at a Solution I am not able to understand the question and build a scenario in my mind. The question asks the distance traveled when the cylinder starts slipping. I can't think of the situation when the cylinder...

If you have the impact force on the y-axis (in Newtons) and the time on the x-axis (in milliseconds), can you get the coefficient of restitution from just this? The plot is for the force of impact exchanged between two balls as a function of time. I know the coefficient of restitution is the...

Homework Statement A bullet collides and embeds itself into a block hanging from a rope. The block and embedded bullet swing out to an angle of 10 degrees. If the bullet plows 2 cm into the block before stopping, what is the coefficient of kinetic friction between the block and the bullet...

I can't for the life of me figure out where C_{0} went. I scanned my work here..I've looked back and forth through my book and other texts, it always seems like all the coefficients are accounted for and/or they equal zero. As it stands, I only have C_{1} Thanks! Full size...

Homework Statement The coefficient of static friction between two blocks is .60. The coefficient of kinetic friction between the lower block and the floor is .20. If a horizonatal force is applied to the upper block (m=4kg) what is the minimum amount of time the two blocks (m=7kg) can cover...

Homework Statement A 0.5 kg wooden block is placed on top of a 1.0kg block. The coefficient of static friction between the two blocks is 0.35. The coefficient of kinetic friction between the lower block and the level table is 0.2. What is the maximum horizontal force that can be applied to the...

Homework Statement A skier skiing downhill reaches the bottom of a hollow with a velocity of 20m/s, and then coasts up a hill with a 10° slope. If the coefficient of kinetic friction is 0.10, how far up the slope will she travel before she stops? Homework Equations aΔt=v2-v1 d= 1/2(v1 +...

Homework Statement A coin of mass m is at rest on a book that has been tilted at an angle θ with the horizontal. By experimenting, you find that when θ is increased to 13o, the coin is on the verge of sliding down the book, which means that even a slight increase beyond 13o produces sliding...

$$ Y_{\ell}^m = \sqrt{\frac{(2\ell + 1)(\ell - m)!}{4\pi(\ell + m)!}}P^m_{\ell}(\cos\theta)e^{im\varphi} $$ For ##\ell = m = 1##, we have $$ \sqrt{\frac{(2 + 1)(0)!}{4\pi(2)!}}P^1_{1}(\cos\theta)e^{i\varphi} = \frac{1}{2}\sqrt{\frac{3}{2\pi}}e^{i\varphi}\sin \theta $$ But Mathematica...

I am new to the forums and need help with something. I have been using a spreadsheet that somebody else made in order to help me design an electric motorcycle. I have been inputing my own data using most of his calculations and I have noticed that he did not calculate any aerodynamic parameters...

I've got the following exercise, which I've done 3 times already and I think I haven't made any mistake: A body is slid upwards through an inclined plane of angle \theta=15\degree. Determine the friction coefficient of the body with the surface of the plane if the time it takes to go upwards t_a...

Homework Statement The COP for heat pumps and refrigerators achieved in the industry is almost 50% of the Carnot limit. Make estimates for the following case: For refrigerator to achieve -10°C in the freezer area with an external temperature of 25°C Homework Equations COP for...

I shoot a bullet of mass m with velocity v against a block of mass M. Find how far the bullet penetrates the block. This problem turned up in my friends examination and I believe it can't be done without the coefficient of friction. Am I right or can this be calculated using conservation of...

Homework Statement In order to hold a book of mass m stationary against a wall, you must push horizontally with a force of at least P. a. make a force diagram and find the coefficient of static friction b. calculate the coefficient of static friction for the wall and book when at least a...

Hello, I am currently doing a project and trying to understand this table. I have a pretty good mathematical background but I know very little about statistics. Could someone explain, in simple terms, what this table is saying, specifically "Unstandardized Logit Coefficient" and "Beta"? Thanks...

Homework Statement A sled is pulled with a horizontal force of 15 N along a level trail, and the acceleration is found to be 0.38 m/s2. An extra mass m = 4.2 kg is placed on the sled. If the same force is just barely able to keep the sled moving, what is the coefficient of kinetic friction...

I've tried searching the web, but so far I haven't run across any formula that states how to obtain Nagaoka's coefficient for an inductor. I have been told, however, that when working with single-layer coils the coefficient can be set to 1, and the calculation will still come out to be accurate...

Homework Statement Derivation of an equation for the coefficient of kinetic friction *Since it's just a derivation, values won't be required, right? *No mass was given Homework Equations Ff = μFN FN = FgCosθ Fnet= Fapp - Ff - FgSinθ <- Not sure about this. The Attempt at a...

I immediately thought of induction, so that is what I used, but I can't seem to make any progress past a certain point.

Someone know how to uncouple this system of pde? Δu_{1}(x) + a u_{1}(x) + b u_{2}(x) =f(x) Δu_{2}(x) + c u_{1}(x) + d u_{2}(x) =g(x) a,b,c,d are constant. I would like to find a solution in one, two, three dimension, possibily in terms of Green function...someone could help me, please?

I have fairly basic questions. How do wheels roll on a surface ? As in what should be the ideal Coefficient of Friction between the wheel surface and the ground, for conditions like "no-slips" What I understand is if there is no friction between the wheels and the ground , the wheels would...

Homework Statement Find the waveforms x1(t) and x2(t) (expressed in a simple form) that are consistent with the sets of Fourier coefficient values provided below. Assume that the period T is equal to 1/10 seconds in both cases (a-1): a(0) = 6, a(-1) = 3 + 4j, a(1) = 3 - 4j, and a(k) = 0 for...

How do you use the angle of uniform slip to calculate the coefficient of static friction? Is there an equation for this? I cannot find it in the module on friction provided with the course... thanks! I found somewhere that tanθ=μk, but that doesn't really help me, as i am looking for μs...

$(1-x^2)y'' - xy' + 4y =2 x \sqrt{1-x^2} $ Hint use the substitution $x =\sin t$ I used it and end with $\cos t y'' + \sin t y' - \frac{\sin t}{\cos t} y' + 4y = 2\sin t |\cos t| $ how to solve this i just want the name of the method

Homework Statement A father gives his daughter a ride on a sled by applying a force F at an angle θ = 26.0° with respect to the horizontal. If the coefficient of static friction is µs = 0.153, and the combined mass of sled and child is m = 24.0 kg What is the minimum amount of force...

Hi I was wondering if anyone could help. My teacher isn't very good at explaining things and he's given us a question without going through the reasoning behind the equation. Aluminium wire has a resistance of .250Ω at 0°C. Give that the temperature coefficient of resistivity at 0°C for...

Homework Statement Hi guys and gals, Having an issue with this one and was hoping to get some help. I'm going to write out the equation and include an attachment with my free body diagram. Q: How long a force parallel to a 20° hill does it take to push a 100-lb box up the hill at a...

Hi All, Homework Statement This is algebraic proof of Vandermonde's identity: I am having some problem understanding how we reached the second last step and more importantly, last steps from revious steps. src::proofwiki.org I would be grateful if someone would elaborate it clearly...

I don't understand how to start. Consider the damped double-well potential model $$ \ddot{x} - x + x^3 + \gamma\dot{x} = 0, $$ where $\gamma$ is the damping coefficient. This model has two fixed points at $(x,\dot{x}) = (1,0)$ and $(-1,0)$. In the phase plane $(x,\dot{x})$, determine the...

Friction and Relation of Coefficient of Friction to "Smoothness" In my physics class today my teacher began discussing a very peculiar characteristic concerning the static and dynamic coefficients of friction. Apparently, when one makes an object's surface "smoother" (meaning with less...

Homework Statement This was a lab. We attached a weight to a pulley and connected it to a wooden block. the wooden block was placed on a wooden board on a table. we dropped the weight and calculated the time it to the block to travel a certain distance.We have the variables T=1.28 s Mass of...

Homework Statement A crate, mass = 275 kg, sits at rest on a surface that is inclined at 20.0° above the horizontal. A horizontal force (parallel to the ground), F = 583 N is required to just start the crate moving down the incline. 2. The attempt at a solution U = (((mg sin (∅)) +...