Please show the function G_R is indeed the Green function for the disk of radius R centered at the origin. Thanks!
Please show the function G_R is indeed the Green function for the disk of radius R centered at the origin. Thanks! Exom...
Give parametric equations that describe a full circle of radius R, centered at the origin with clockwise orientation, where the parameter t varies over the interval [0,22]. Assume that the circle starts at the point (R,0) along the x-axis. Consider the following parametric equations, x=−t+7, y=−3t−3; minus−5less than or equals≤tless than or equals≤5. Complete parts (a) through (d) below. Consider the following parametric equation. a.Eliminate the parameter to obtain an equation in x and y. b.Describe the curve and indicate...
A disk of radius R = 7.52 cm, is centered at the origin and lies along the y–z plane. The disk has a surface charge density σ = 3.11 × 10-6 C/m2. Evaluate the electric field produced by this disk along the x axis at point P = (1.55 m, 0.00 m). The Coulomb force constant k = 1/(4π ε0) = 8.99 × 109 N·m2/C2.
A disk of radius R = 9.54 cm, is centered at the origin and lies along the y–z plane. The disk has a surface charge density σ = 4.07 × 10-6 C/m2. Evaluate the electric field produced by this disk along the x axis at point P = (1.01 m, 0.00 m). The Coulomb force constant k = 1/(4π ε0) = 8.99 × 109 N·m2/C2.
(1 point) A body of mass 10 kg moves in the xy-plane in a counterclockwise circular path of radius 3 meters centered at the origin, making one revolution every 11 seconds. At the time t 0, the body is at the rightmost point of the circle. A. Compute the centripetal force acting on the body at time t. B. Compute the magnitude of that force. HINT. Start with finding the angular velocity o [rad/s] of the body (the rate of...
ran A disk of mass M and radius R has a hole of radius r centered on the axis. Calculate the moment of inertia of the disk. Express your answer in terms of the variables M, R, and r. 1= {M(R? +-2) Submit Previous Answers ✓ Correct Part B A 5.0-cm-diameter disk with a 3.0-cm-diameter hole rolls down a 55-cm-long, 21° ramp. What is its speed at the bottom? Express your answer to two significant figures and include the appropriate...
1. A total charge of Q is uniformly distributed around the perimeter of a circle with radius a in the x-y plane centered at origin as shown in Figure P4. (a) Find the electric field at all points on the z axis, i.e., (0,0,z). (b) Use the result you obtain in (a) to find the electric field of an infinite plane of charge with surface charge density ps located at the x-y plane. 2. Find the electric field due to a...
(1 point) Let C be a semicircle of radius r> 0 centered at the origin. Let P be a point on the x-axis whose coordinates are P= (r + rt, 0) where t> 0. Let L be a line through P which is tangent to the semicircle. Let A denote the triangular region between the circle and the line and above the x-axis (see figure.) (Click on image for a larger view) MON Find the exact area of A in...
Consider a disc of radius R centered the origin in space and rotating about the z axis in some inertial reference frame O. (a) What is the maximum angular velocity w of the disc allowed by Special Relativity? Recall angular velocity is 2 times the number of rotations per second. (b) Consider an observer O' sitting at the edge of the disk, rotating with it i. Is O' an inertial observer? i. What does O' measure the circumference of the...
Review A disk of mass M and radius R has a hole of radius centered on the axis. Part A Calculate the moment of inertia of the disk. Express your answer in terms of the variables M, R, and T. VALD O2 ? MR2 mR 22 Submit Previous Answers Request Answer Part B A 5.0-cm-diameter disk with a 3.0-cm-diameter hole rolls down a 55-cm-long, 21 ° ramp. What is its speed at the bottom? Express your answer to two significant...
A uniform disk with mass m = 9.04 kg and radius R = 1.35 m lies in the x-y plane and centered at the origin. Three forces act in the +y-direction on the disk: 1) a force 309 N at the edge of the disk on the +x-axis, 2) a force 309 N at the edge of the disk on the –y-axis, and 3) a force 309 N acts at the edge of the disk at an angle θ =...