Slope Definition and 770 Threads

Homework Statement A cart goes down a ramp with an incline of 10 degrees with acceleration A. Would adding mass on that cart change the acceleration? Homework Equations F = ma The Attempt at a Solution so I tested this in lab and no, the added weight didn't affect the acceleration of the...

Homework Statement I have a list of data, positions and measured voltages at each position. As part of my lab analysis I have to find the electric field at each position. I know that the slope of a potential versus distance plot is the electric field, but I have no clue how to find not the...

Homework Statement I am doing a lab report and I have to find the slope of a graph as well as the max and min lines of the graph. I also have to find the error in the slope. I have calculated the slope. My first problem is in calculating the error lines. My teacher said i must find the slope...

Homework Statement Find all the points on the following curves that have the given slope: x=4cost y=4sint slope=1/2 Homework EquationsThe Attempt at a Solution Im not to sure what to do with this question.. I found dy/dx to be -cot(t) but I am not sure if that is even needed for this...

Hi guys! I am really struggling with this poorly written question. Any help would be appreciated! a 3.5 kg box is on a slope. What is the minimum angle which will cause the box to slip if μ (friction) =0.6? If the plane is tilted to an angle of θ above this slipping value what is the...

Homework Statement A box is on top of a slope. The slope has NO FRICTION. V0 = 0 m/s, V = 4m/s. MASS IS UNKNOWN What is the height of the slope? Homework Equations Equation for energy (i think)The Attempt at a Solution I attempted to find the accelleration, but I do not know what the...

Homework Statement A heavy uniform cylindrical drum is placed, with its axis horizontal, on a slope inclined at an angle α to the horizontal. It is prevented from sliding or rolling down the slope by a triangular wedge. The weight of the wedge is negligible compared with the weight of the drum...

Homework Statement Find the slope of the tangent line to the give polar curve at the point specified by the value of theta R = 1/θ, θ = π Homework Equations Slope of a polar equation is (dR/dθsinθ+Rcosθ/dR/dθcosθ-Rsinθ) The Attempt at a Solution Using my calculator, I plugged π for θ, -.101...

I have set of date with error bars of different length on my y values. I want to know what the error is on the slope and intercept of my line of best fit through this data. Is there a numerical way to calculate this that takes into account the fit of the regression line and the y error bars?

I'm currently trying to determine the error on the slope of a regression line and the y-intercept. My y values are: My y error is: My x values are: 27.44535013 0.03928063 136 29.78207524 0.07836946 44 27.4482858 0.0385213 143 27.27481069...

A friend asked me to help him with this; probably simple, but I seem to be missing something obvious: For what values of ##b## is the line ##y=10x## tangent to the curve ##C(x)=e^{bx}##? Seems we need ##C'(x)=be^{bx} =10 ## for some pair ##(b,x)##. But this is where it seems hairy: how do we...

Homework Statement NOTE: This is a problem I found and the question is actually the part B of it. That of ''massless pulley'' I suppose was dealing with the part A (which I don't know what question was), so please don't consider that (:. Homework Equations ##F_{net} = ma## ##\tau =...

Homework Statement A block is at rest on a rough incline . The frictional force acting on the block, along the incline, is A) greater than the weight of the block. B) equal to the weight of the block. C) zero. D) less than the weight of the block. Homework EquationsThe Attempt at a Solution...

Homework Statement Hello Our teacher asked us today,to figure out,what the effect would be if the generic slope we use in most exercises would move too.That means,a mass m is sliding downwards to the right from a slope that is moving to the left. So,I don't want you guys to solve my home work...

Homework Statement For my IB higher level physics extended essay I will have to calculate the angular momentum of a cylinder rolling down a slope. The cylinder is made out of copper and will be filled with a known mass of car engine oil. I think i can obtain the angular velocity fairly easily...

Hello, I'm having a hard time solving a linear function slope problem.So I would be thankful if someone could provide me with an answer and explanation of the problem. The problem is the following: Find the possible slopes of a line that passes through(4,3) so that the portion of the line in...

I've just done an experiment and need to calculate the slope of the best fit straight line, but I'm having some trouble with it. First, let me briefly describe the experiment. I need to vary the distance two metal plates and find the capacitance of it. I tried to record the value a few points...

Homework Statement A cyclist attacks a 20% hill, the mass of the cyclist plus the bike is 100kg. Assuming g = 10 N kg^-1 , calculate the size of the retarding force due to gravity, acting along the slope. Homework Equations g = 10 N kg^-1 , Work = Force x Displacement, The Attempt at a...

Homework Statement A block of mass M can slide freely (without friction) on a flat surface held at an angle \theta to the horizontal. The block is attached to a spring of natural length l and spring constant k. The other end of the spring is fixed to a nail driven into the sloping surface...

Not sure if this is the right section but I believe it'll be moved if not. :) Anyway, in my physics laboratory, we build an RC parallel circuit. we measured some things here and there that would help us draw the tan of the phase φ as a function of the frequency. The problem is, instead of...

I would appreciate some help on this question involving a cylinder rolling down a slope; I'm far from comfortable with the physics involved. Question here: This is my free-body diagram of the forces acting on the cylinder: Expressions for the acceleration in the x- and y-directions in...

1. A magazine reports that a new type of plastic ski is even more water repellent and that, on a gentle 203-m slope in the Alps, a skier reduced his time from 61 to 42 s with the new skis. Assuming a 3.0 degree slope, compute the coefficient of kinetic friction for each case. I am having...

Homework Statement On a winter’s day in Maine, a warehouse worker is shoving boxes up a rough plank inclined at an angle α above the horizontal. The plank is partially covered with ice, with more ice near the bottom of the plank than near the top, so that the coefficient of friction increases...

Homework Statement The record speed for grass skiing was set in 1985 by Klaus Spinka, of Austria. Suppose it took Spinka 6.60 s to reach his top speed after he started from rest down a slope with a 34.0° incline. If the coefficient of kinetic friction between the skis and the grass was 0.198...

Homework Statement You are lowering two boxes, one on top of the other, down the ramp shown in the figure by pulling on a rope parallel to the surface of the ramp. Both boxes move together at a constant speed of 19.0cm/s . The coefficient of kinetic friction between the ramp and the lower box...

I know it's long but I really need help. I'm terrible at math. Anyway, given only a start and end point, I'm trying to draw a line by creating a number of points at regular intervals between those start and end points. This is what I have so far (it's from C# code so I hope it's not too hard to...

Homework Statement If i have a block that is d distance back from a slope, and I have cable coming out of the block (lets assume at ground level) that goes over to a fulcrum at the ledge of an incline of angle theta down to a block of mass m. What is the downward force at the fulcrum point...

$r=5$ and $\theta=\pi/6$$\frac{dy}{dx}=\frac{\frac{dy}{d \theta}}{\frac{dx}{d \theta}}=\frac{\frac{dr}{d \theta}sin(\theta)+rcos(\theta)}{\frac{dr}{d \theta}cos(\theta)-rsin(\theta)}$ $\frac{0*sin(\pi/3)+5cos(\pi/3)}{0*cos(\pi/3)-5sin(\pi/3)}=-\frac{\sqrt{3}}{3}$is that right?

Homework Statement The four highlighted questions are the ones that I am having trouble with. Unfortunately, the second question in both sections builds upon the first so its hard to go any further but I would know how to solve the second part if I could create the equation. In the first...

I have to find the slope of the function g(x) = x/(x-2), (3,3) my attempt [(3+h)/((3+h)-2)] - [(3)/(3-2)] \div h got rid of (3+h) and 3 [(1/-2) -(1/-2)] \div h 0/h answer in book is -2

I am working on a lab that is meant to test the validity of (m1

Problem: A body lays still on a sloping plane with slope angle alpha. How high does the friction coefficient need to be in order to allow for this equlibrium? Thoughts: I attempted solving this by basic trig. cos(a) = oposing/hypothenuse. So say the opposing is 1 unit, then the friction...

I know that the standard definition for a slope field is ##\frac{dy}{dx} = f(x, y)##, but and if the equation given is a second-order ODE ##a\frac{d^2y}{dx^2}+b\frac{dy}{dx}+cy=0## or a system of first-order ODEs ##A\frac{d\vec{r}}{dt}+\vec{b}=\vec{0}##, the definition for slope field continues...

Homework Statement A train wheel's have a coefficient of 0.08. What is the steepest slope the train can climb? Homework Equations Friction force = coefficient x component of train's weight perpendicular to slope x 9.81 If the train is on the point of slipping Friction force =...

Why is the slope of perpendicular line on the the other defined this way: m = slope of a particular line m'= slope of the perpendicular line on that particular line m*m' = -1 OR m' = -1/m Thanks

Hi guys, I have been a question to solve this week to do with deflections and slopes at the free end of a cantilever beam. I have calculated the deflection and slope for the point load and UDL, but I'm not sure whether to add them together or not?.. as they're both acting on the beam? A...

1. Homework Statement [/b] The question is B7 here: http://www-teach.phy.cam.ac.uk/dms/dms_getFile.php?node=7787 I managed to derive the acceleration required in the first part, but the second part is giving me trouble. Homework EquationsThe Attempt at a Solution I have calculated the moment...

determine the point on the graph of: y = x3 - 4 x2 in which the tangent line has the minimum slope. answer (4/3, -128/27) ok my original idea was yo derive the curve first 3x2-8x But when I equal to 0 I get x= 3/8 The curve would be the main and the constrain y = mx I tried and i couldnot...

This is part of a differential equations group project problem where I solve a set of differential equations to obtain the solution to a function. The part that I am stuck at involves taking the log of an exponential function, though there may be a mistake on the book's part, but I'm not sure...

1. A 30kg box is placed on a 15° slope and a person pushes on the box up the slope to keep it from sliding. If the coefficient of static friction is 0.15, what is the minimum force that the person must exert to keep the box in place? Answer Choices: A. 273N B. 241N C. 33.5 N D. 64.7 N E. 294 N...

Finding the Uncertainty of the Slope Parameter of a Linear Regression Suppose I have measurements x_i \pm \sigma_{xi} and y_i \pm \sigma_{yi} where \sigma is the uncertainty in the measurement. If I use a linear regression to estimate the value of b in y=a+bx, I'm struggling to find a...

Problem statement F(x)= x^2-3x P=(1,f(1)) Revelant equation Lim f(a+h)-f(a)/ (h) As h approaches 0 Attempt at a solution Now this is where I get stuck.. Because usually you have a h that cancels out and then you have something in the form of (h+a) that can be used to determine the slope...

Here is the question: I have posted a link there to this thread so the OP can view my work.

Homework Statement An object slides down a 30° angled slope with even velocity. The object is hit with a force such that its initial velocity is now 2,5m/s up the slope. How far does the object go before coming to a stop (I answered this, though) and how much of the kinetic energy becomes...

Homework Statement An object slides down a slope of 30° to the horizontal with CONSTANT VELOCITY. Find the force of friction and the energy lost on the way down. Homework Equations \mu m g \cos \theta \mu m g \cos \theta - m g \sin \theta = 0 W = K_2 + U_2 - (K_1 + U_1) The Attempt...

Homework Statement I was given parametric equations. x(t) = a(t) y(t) = b(t) z(t) = c(t) where a, b, and c are functions that depend on t. I was supposed to find equation of the tangent line at t = f given: x(f)= m y(f) = n z (f) = o where m,n,o are some constant numbers...

[b]1. The problem statement: Slick is skiing down a 27 degree slope (above horizontal) into a headwind (parallel to the slope) of 8N. His mass is 78Kg. The coefficient of friction between the snow and the skis is 0.11. What is the resultant force? If the coefficient of friction...

This is NOT a HW question. I'd appreciate an explanation of the following: I would like to determine the forces acting on a mass set between two springs of constant k on a slope (the slope's angle is alpha). The slope revolves around the vertical axis with angular velocity w and the mass could...

Homework Statement A block slides down an inclined plane of slope angle (theta) with constant velocity. It is then projected up the same plane with an initial speed v(knot). (a) How far up the incline will it move before coming to rest? (b) Will it slide down again? Homework...

What is the relationship between a ball rolling down a slope (ramp) and its average velocity. I know we are supposed to use: v^2 = ut + at/2 and F = mgsin(degree). But assume initial velocity is zero. Also if I do an experiment and I get results (make a graph between average velocity and...