Circle Definition and 1000 Threads

Suppose a mass ##m## is whirled at instantaneous speed ##v## on the end of an inextensible string of length ##R## in a vertical circle. Let ##\theta## be the angle the string makes with the horizontal, and let ##W## be the weight of the particle. According to the equation: $$T = \frac{mv^2}{R} -...

Suppose that a bicyclist is moving in a circle of radius R, leaning inwards at an angle a from the verticle, and that the height of the person (h) is less than R but not negligible. I am trying to find the angular velocity the bicyclist must move at. I tried doing this in two ways: using...

hello all... i'am looking for a formula to solve this multiple choice question about area of circle... like my picture below ... any body can help me, thanks in advance... susanto3311

hello guys.. how to figure it out this below problem, find area of circle please, see my picture.. thanks... susanto3311

If you have a circle with a line that divided it in half. The Internet sites say to take the number and cut it in half like if it was 10 you do 314 x 5 x 5. My textbook says to do 314x 10

hello expert... How to find the circumference of a circle and area of a circle quickly? it's possible using method like ratio or series like pythagoras theory (3,4,5). or another way? somebody could help me out? cheers... susanto3311

Homework Statement Suppose the charge Q on the ring of Fig. 28 was all distributed uniformly on only the upper half of the ring, and no charge was on the lower half. Determine the electric field \vec {E} at P. Homework Equations [/B] E = k\frac {q} {r^2} The Attempt at a Solution [/B]...

Homework Statement The questions asks for the centripetal acceleration of the mass in the vertical circle shown in the picture. It also states the object has exactly enough velocity to maintain a vertical circle. Homework Equations F=ma, a=v^2/r The Attempt at a Solution I've tried solving...

I am working on a take home with a group of students and we all got different answers for this problem... can anyone look over it and tell me where I am going wrong?? Let me know if any of my work is confusing...

Homework Statement So a quarter circle has a total charge of 25μC and has a 1m radius. I need to find the resultant electric field at point P. Homework Equations The Y components will cancel here due to symmetry so we are left only caring about the x components. dE= (kdq)/(r^2) rˆ dq= λdl...

The perimeter P of a regular polygon of n sides inscribed in a circle of radius r is given by P = 2nr sin (180^o / n). I was curious whether it's possible to approximate the circumference of a circle by taking the limit as n goes to infinity of the above perimeter equation is some way? Thank-you

Homework Statement The equation that is first listed is: 2x^2 + 2y^2 = 7 Homework Equations [/B]The Attempt at a Solution It's redefing the bottom portion therefore I think it's y=0,-2 because that is the range?

Homework Statement Find an equation of the sphere with center (2, -6, 4) and radius 5. Describe its intersection with the each of the coordinate planes. Homework Equations Equation of a sphere with three dimensions X2 + Y2 + Z2 = R2 The Attempt at a Solution My equation is (x - 2)2 + (y +...

A perfect square inside a circle (so the inner square's corners touch the circle) and a perfect square surrounds the circle (so the circle touches the sides of the outer square. Are the extra bits between the inner square and the circle equal to the extra bits between the circle and the outer...

Homework Statement if the tangent at a point P("theta") on the ellipse 16 (x^2) + 11 (y^2) = 256 is also tangent to the circle (x^2) + (y^2) + 2(x) = 15 then ("theta") = ?? 2. The attempt at a solution {{{{ i have taken "theta" as "d" }}}} P [4 cos d , (16/(sqrt11)) sin d] equation of...

Hi Guys, I have been given a lab report to complete on Torsion of a beam. - Beam was subjected to torsion under increments of weight - Strain gauge rosette was placed, A B and C where there is 90 deg between A and C, B at 45 deg in between. - The angle from Gauge A and the "x" axis was given...

Homework Statement John is thrown into the outer part of a circular den of radius a. At the centre of the den is a Lion. John decides his best tactic is to run round the perimeter of the den with his maximum speed u. The Lion responds by running towards John with its maximum speed U. (i)...

Homework Statement Hi, I am doing some things with Mohr's circle. I am trying to find the direction of max strain but I am a bit confused. How can I do this? Homework EquationsThe Attempt at a Solution I always assumed that the max strain occurs at 90O from the normal axis or 45O in real...

Homework Statement I have used a strain rosette with two gauges at 0 and 90 degrees to find strain on a beam under force and an trying to plot Mohr's circle for the problem. As the gauges are at right angles finding the xx and yy strain is easy but I am lost about how to find the xy strain...

While I haven't the right technology to find out if the measurement is absolute, it seems that by adding the measurements of A, B, C and D together, you get the circumference of a circle. (image attached)

i have a 3d vector, and i want to draw a circle with a specified radius around the vector (for computer programming) so i have the location of the center of the circle(first point of the vector) but i also want the circle to be at a right angle to the vector my approach: the equation of a...

Assume that I am having a 3D Cartesian Coordinate and a linearly time-dependent magnetic field ##\textbf{B}(t) = B_0 \cdot k \cdot t \cdot \textbf{z}## where ##B_0## and ##k## are just constants. If circular conductor(a thin ring whose thickness is negligible) is put parallel to the ##XY##...

Homework Statement A 3.75 kg bucket pile of water is swung in a vertical circle. If the speed of the bucket at the top of the loop is 6.20 m/s, then the radius of the largest circle through which this pail could move without the water leaving the bottom of the pail would be what? m = 3.75 kg...

Homework Statement Dear Mentors/PF helpers, Please help me with part (ii), I couldn't find a way through this part. Homework Equations The Attempt at a Solution My solutions: (i) angle RPS = 65 deg (angles in the same segment are equal) (iii) angle PRS = 110 - 65 = 45 ( exterior...

O is the centre of the circle and XTY is a tangent to the circle. The chord TC intersects the diameter BOD at Z. If angle TÂB = 124° and angle CBD = 28° calculate 1) angle YTB 2) angle CTD 3) angle BOT 4)angle DZC 5) angle OTD 6) angle CTY

I was asked to look at a problem (not homework) in which a tangent ellipse is to be found for a circle. This puzzle is turning out to be more than I bargained for. See the attached image because hey, a picture's worth a thousand words. The givens in this problem are to be the radius ##R_i## of...

I am looking for a conformal map from a "polygon" to eg the upper half plane, which consists of circle segments instead of lines. So for example, it could be a quadrilateral ABCD, but where AB is a circle segment. The closest I can find is the Schwarz-Christoffel mapping. Anyone has any tips?

Homework Statement r=2cos(theta) I want to find the area using polar integration. Homework Equations area=(1/2)r^2 from 0-pi The Attempt at a Solution When I plug everything in I get 2pi as the answer. I'm in multivariable calculus so this is very frustrating. What am I doing wrong, I don't...

Homework Statement Suppose that the function ##f(z)## is analytic and that ##|f(z)| \le 1## for all ##|z| = 1##. Homework EquationsThe Attempt at a Solution I was hoping someone could verify my work. Okay, if I understand correctly, ##|f(z)| \le 1## is true for all all complex numbers ##z##...

Homework Statement Homework Equations v(x)t= -wAsin(w+o) The Attempt at a Solution -5(10)sin(0)= 0 D is this the right procedure?

A Practical Squaring of the Circle. Does anyone know if this method of construction been done before? https://imageshack.com/i/exFv7X1Wj

A circle has a radius of 10cm. Find the length s of the arc intercepted by a central angle of 124° . Do not round any intermediate computations, and round your answer to the nearest tenth. How do I do this?

Homework Statement Can someone help me solve this, and teach me how to solve such problems in future? An equilateral triangle ABC is inscribed in a circle . Point D lies on a shorter arc of a circle BC. Point E is symmetrical the point B relating to the line CD . Prove that the points A, D , E...

Hi How is circular surface area values square rooted ??. I am using this formula r2Xπ=mm2 to calculate the surface area of a circle but i want to know if there is a formula to get back to the diameter or the radius of the circle ?. example i have a circular surface area of 5.26mm2 and i want...

This one is kicking my butt. In a circle, find the exact area of a segment bounded by chord $$\overline{CD}$$ and $$\stackrel{\frown}{CD}$$. $$\overline{CD}=12\sqrt{3}$$ and the $$\measuredangle \stackrel{\frown}{CD}=120^{\circ}$$.

Homework Statement Assuming the keys are moving in uniform circular motion![/B] Keys with a combined mass of 0.100 kg are attached to a 0.25 m long string and swung in a circle in the vertical plane. a)What is the slowest speed that the keys can swing and still maintain a circular path...

the equation in circle is right ??

Homework Statement Attached here is a diagram. My questions are, how to compute for the value of the chord? How to compute for the value of the tangential line? Please help.. Thank you in advance.

Homework Statement A mass of 2.0 x 10^2 g is tied to a 1.6 m long string and spun in a vertical circle. What is the minimum frequency to keep the mass moving? Homework Equations Fc=m4(pie)rf^2 The Attempt at a Solution I know I have to use this equation and make it equal to another to find Fc...

Find area inside circle x^2+y^2=a^2, above 7=b, -a \le b \le a ?? i think f of y right? (-a to a) minus (-a to b)?

I have a question regarding LQC that I can't find anywhere, and since most of the relevant answers to similar questions are here I may as well ask, here... For a simple background, when I was introduced to the big rip and combined that with the big bang, I immediately thought the two co-existed...

I would like to reopen a discussion on assertions made by David Mermin such as: “There is no conceivable way to assign such instruction sets to the particles from one run to the next that can account for the fact that in all runs taken together, without regard to how the switches are set, the...

Homework Statement Use energy conservation to answer the following question. A mass is attached to one end of a massless string, the other end of which is attached to a fixed support. The mass swings around in a vertical circle as shown. Assuming that the mass has the minimum speed necessary at...

Given the force (derived from a potential in planar polar coordinates) F(p,w) = 2p+sin(w)e_p+cos(w)e_w Where e_p and e_w are unit vectors How do I calculate the line integral over a circumference that is defined as: p = 2 0 ≤ w ≤ 2pi Using the definition of a line integral \int_0^{2pi} \...

I am working on an algorithm which requires the coordinates for the center point of an offset circle. Dimensions available to find this are shown in the image below and the dimension required is labeled as X: The point at the very left of the arc is a quadrant therefore, the circle center also...

Now i haven't checked yet whether or not this is correct, but the formula for the length of an arc that subtends a central angle can also be expressed this way: AC/360 Where: A: Central Angle C: Circumference Is this correct? Thank you for your help.

I don't know if this can be calculated. I have tried for hours and days to isolate/calculate the radius and angles of the circle in order to be able to calculate length 1. I have tried using cos/sin-relation formulas and triangle formas - but Iam stuck. Any hints would be greatly appreciated...

For example in the equation y2+x2=100, what are the transformations? what does the 100 do?

Hi. I have been looking at the coordinate charts for the unit circle x^2 + y^2 = 1. In the notes I have the circle is split into 4 coordinate charts the first being - ##U_1## : x>0 , ##A_1## = y (PS without the symbols tab I have used A for the letter phi ) There are 3...

Homework Statement Find the circle segment area that has the boundaries of line segment AB and the minor arc ACB. Give the area in an exact form in terms of surds and Pi. (see attachments for annotated picture & original question). Homework Equations Equation 1: Area of a segment = Sector...