Wedge Definition and 267 Threads

Hi all, I am trying to construct a numerical solution to the following linear harmonic problem posed in a wedge of interior angle 0<\alpha<pi/2 \bigtriangledown^2\phi(r,\theta), \ r>0, \ -\alpha<\theta<0 \bigtriangledown\phi\cdot\mathbf{n}=0, r>0,\ \theta=-\alpha...

Homework Statement A smooth wedge of mass 2m and slope 45 degrees is placed on a smooth horizontal surface. A particle of mass m is placed on the inclined face of the wedge. The system is released from rest. (i) Show on separate diagrams the forces acting...

Hi friendz I have a problem. If a block of mass m is placed over the wedge such that there is no friction then what is the acceleration of block 1with respect to wedge 2 with respect to ground Pleas reply. Thanks in advance. My sir said that it is different.Is it so.

Homework Statement For general values of m, M, theta, mu (coefficient of static fric) find the minimum force you need to apply to the wedge so that it just begins moving up the slope. Picture (little m represents mass on wedge, M is mass of wedge.) http://ompldr.org/vYmxraA Homework...

Given that Bishop and Goldberg's definition of the exterior product is \alpha \wedge \beta := (\alpha \otimes \beta)_a where \omega_a(v_1,...,v_s):=\frac{1}{s!}\sum_{(i_1,...,i_s)}\text{sgn}(i_1,...,i_s)A(v_{i_1},...v_{i_s}), giving, in this case...

Homework Statement A solid sphere of radius R and mass M is placed in a wedge. The inner surfaces of the wedge are frictionless. Determine force exerted at point A and point B. Homework Equations ƩF=0 Ʃτ=0 The Attempt at a Solution I'm pretty baffled about how to apply these...

the machine part ABC is supported by a frictionless hinge at B and a 10 degree wedge at C. Knowing that the coefficient of static friction is .20 at both surfaces of the wedge, determine (a) the force P required to move the wedge to the left, (b) the components of the corresponding reaction at...

Homework Statement A mass of 5kg and wedge of 10kg are held at rest. All surfaces are frictionless. No outside forces are acting on the system. θ of the wedge is 30°. Once the block and wedge are let go, what happens to both objects? What is the acceleration of the block left/right and what...

Homework Statement The problem is provided in the pdf attachment Homework Equations I know how to solve frictionless problems with a single mass on an incline but this is just too advanced for me. (especially with two inclines of different angles) The Attempt at a Solution I drew...

Homework Statement See Q2, Method 1 part c. Homework Equations The Attempt at a Solution http://a5.sphotos.ak.fbcdn.net/hphotos-ak-ash4/316587_2275178233577_1072324659_2439905_368313036_n.jpg" I have obtain all eqtn I need but I cannot figure out how to get the equation of c. I...

Homework Statement 9) A 15 kg wedge is pushed along a frictionless surface. There is no friction between the wedge and the block. What force, F, is required to keep the block from sliding up or down the wedge? See attachment for diagram. 10) Find the tension, T. See attachment for diagram...

Homework Statement okay this isn't really a question, but i didnt knew where to post it, tell me if it has to be posted somewhere else. a pic of the diagram would help a lot. A block is kept on the top of a wedge of angle alpha, can u explain what all happens, keeping all surfaces...

Homework Statement A large wedge rests on a horizontal frictionless surface. A block starts from rest and slides down the inclined surface of the wedge, which is rough. During the motion of the block, the center of mass of the block and wedge. a. does not move. b. moves horizontally with...

I've learned that the wedge product is a product operation on two alternating tensors that yields another alternating tensor, but sometimes while surfing the net I see people using the wedge product for two vectors. For example, on the wiki page titled "Exterior algebra" it says that "using the...

Homework Statement A particle of mass M is on a wedge of mass 2M. The wedge is smooth, and is inclined at 30* to the horizontal. The system is released from rest. Find the acceleration of the wedge, and find the acceleration of the particle relative to the wedge.Homework Equations F=ma The...

Homework Statement Prove that normal force between a block and wedge is: N = m*sqrt(g^2-a^2) Homework Equations I used the pythagorean theorem to attempt this. The Attempt at a Solution See attached. Am I doing this right, or am I making up math here to fit the answer?

A 45 deg wedge is pushed along a table with constant acceleration A. A block of mass m slides without friction on the wedge find its acceleration. Clue if A=3g then \ddot{y} = g I'm not sure of the forces on the block, if A is parallel to the base of the wedge then what component of A acts...

I have this problem(from Tensor Analysis on Manyfolds by Bishop and Goldberg): prove that e_1^ e_2 + e_3^e_4 is not decomposable when the dimension of the vector space is greater than 3 and e_i are basis vectors. I solved it by mounting a set of 6 equations with 8 unknows and studying the...

Homework Statement ______|______ ... ... ... ... ...... _____________ | ^ y | |_ _ > x This is supposed to be a capacitor with a dielectric in a form of a wedge in it. Known data: area A of the plates, permitivity \epsilon_r The...

Homework Statement Hi, I'm new and I've been trying to figure this problem out forever. I can't even really say I've attempted a solution because I don't really undertand the concept very well. (I'm paraphrasing the question here) A wedge of mas M (1.00[kg]) is at rest on a flat horizontal...

Please be gentle, I'm not a physicist, I'm a podiatrist trying to find the answer to a problem that has been confusing me! I hope you can help. In podiatry we often use foot orthoses in an attempt to alter the magnitude, location and timing of reaction forces at the foot's interface. A...

Homework Statement A pair of very flat glass plates, 7.41 cm long, touch at one end and are separated at the other end by a small piece of 44 gauge copper wire, 5.08×10−5 m in diameter. An air wedge is formed between the glass plates by this supporting wire. Light of wavelength 631 nm...

Homework Statement This is a standard block on wedge problem - we have an incline of angle \alpha, a block of mass m on wedge of mass M. The block is released from the inclined surface. The wedge is not fixed and can accelerate. The question is typical - find the horizontal accelerations...

I think I finally understand the wedge product & think it explains things in 2-forms that have been puzzling me for a long time. My post consists of the way I see things regarding the wedge product & interspersed with my thoughts are only 3 questions (in bold!) that I'm hoping for some...

Homework Statement A small block of mass m is sliding along the inclined slope of a wedge of mass M. The block slides without friction on the wedge and the wedge slides without friction on the floor. The slope on the wedge has an inclination \alpha with the floor. Homework Equations...

Homework Statement A ball is dropped straight down onto a wedge that is sitting on top of a frictionless surface. The wedge is at an angle of 45degreees and has a mass of 5.00kg. The ball has a mass of 3.00kg. If the ball collides with the wedge at 4.50m/s, and the collision is instantaneous...

Hello, Homework Statement A 45o wedge is pushed along a table with constant acceleration A. A block of mass m slides without friction on the wedge. Find its acceleration in y direction. (Gravity directed down, acceleration due to gravity is g)...

Homework Statement I'm attaching a drawing depicting the problem, hopefully the mods will approve it soon. In words: A ball is dropped from some height h_0 and hits a point on a wedge at some angle \theta at some height up the wedge h^\prime. Optimize h^\prime and \theta for which the range is...

Homework Statement Find the volume of curved wedge that is cut from a cylinder of radius 3m by two planes. One plane perpendicular to the axis of the cylinder, the other plane crosses the first plane at a 45 degree angle at the centre of the cylinder. (Hint: let the line of intersection of the...

Homework Statement Given \textbf{F} = x\textbf{i} + y\textbf{j} + z\textbf{k}, what is the flux of \textbf{F} through the cylinder x^2 + y^2 =1 bounded by the planes z=0, x+y+z=2. The Attempt at a Solution By Gauss' Theorem, \int\int_{S}\textbf{F}\cdot d\textbf{S} =...

Homework Statement Draw the two enantiomers of ibuprofen using the correct dash and wedge bonds. Homework Equations (I was given a flat molecule like the one above.) The Attempt at a Solution I put a wedge from the asymmetric carbon to the hydrogen and a dash from the asymmetric carbon...

Homework Statement A triangular wedge 5 m high, 12 m base length, and with a 14 kg mass is placed on a frictionless table. A small block with a 5 kg mass (and negligible size) is placed on top of the wedge as shown in the figure below. All surfaces are frictionless, so the block slides down...

what is wedge constant and where and how to use it?

I'm having trouble understanding this problem. I think I'm missing something or misunderstanding the question: A wedge-shaped film of air is made by placing a small slip of paper between the edges of two pieces of glass as shown below. Light of wave-length 600nm is incident normally on the...

Homework Statement A ray of light consisting of 2 monochromatic wavelengths, 550 nm and 672 nm, is incident on an air wedge. It is found that, at the nth bright fringe from the vertex of the air wedge for the 550 nm wave, a bright fringe for the 672 nm wave is also formed. Determine the...

Homework Statement A large Wedge with mass 10 kg rests on a horizontal frictionless surface (think right triangle on a unit circle, theta <90 deg.). A block with a mass of 5 kg starts at rest (near the top) and slides down the inclined surface of the wedge, which is rough (does this imply...

Hello! I've seen volume calculations involving cutting a wedge from a cylinder where the wedge cuts down to the centre of the circle (i.e. the length of the straight edge will be the diameter of the cylinder). I was looking for hints on working out the area of a wedge cut from a cylinder where...

An air wedge is formed between two glass plates separated at one edge by a very fine wire. When the wedge is illuminated from above by a 600nm light and viewed from above, 30 dark fringes are observed. Calculate the radius of the wire. Am I correct to consider only the bottom surface of the top...

Homework Statement I need to solve the Laplace equation, u_rr + (1/r)u_r + (1/r^2)u_{theta}{theta} = 0, on a circular wedge with radius R, angle {alpha}, where u(r,0) = 0, u(R,{theta}) = 0, and u(r,{alpha}) = 50. Homework Equations The Attempt at a Solution Separate variables -...

Homework Statement A fine hair separates one end of two pieces of flat glass to form and air wedge.when light of wavelength 670 nm is incident normally, 25 dark bands are observed (with one at each end).How thick is the hair? Homework Equations destructive interference: 2nt =...

Homework Statement A 2.0 kg mass rests on a frictionless wedge that has an acceleration of 15 m/s2 to the right. The mass remains stationary relative to the wedge, moving neither higher nor lower. (a) What is the angle of inclination, θ, of the wedge? (b) What is the magnitude of the...

Homework Statement http://uploadpie.com/7kzGG Homework Equations The Attempt at a Solution The correct answer is A : 0N But my answer is B : 12 N Here is my attempt http://uploadpie.com/UUGwM I know I can consider the block and the wedge as one system and I can get the correct answer. But I...

Homework Statement A wedge with mass M rests on a frictionless horizontal tabletop. A block with mass m is placed on the wedge and a horizontal force F is applied to the wedge. What must the magnitude of F be if the block is to remain at a constant height above the tabletop? Homework...

I am studying general relativity from Sean Carroll's text and I have a simple question about the wedge product. According to the text, the wedge product of two one-forms (dual vectors) is (A \wedge B)_{\mu\nu} = 2A_{[\mu}B_{\nu]} = A_\mu B_\nu - A_\nu B_\mu I understand the why the first two...

Homework Statement plane plates of glass are in contact along one side and held apart by a wire 0.05mm in diameter, parallel to the edge in contact and 20cm distant. using filtered green mercury light, directed normally on the air film between plates, interference fringes are seen. calculate...

A cylinder of mass m, radius a, rolls down a rough wedge of mass M that is free to slide on a smooth horizontal surface. The wedge angle is \Theta. What is the acceleration of the wedge? We are looking at the Lagrangian method in my classical physics class and I just don't know where to...

Homework Statement A block of mass 3.1 kg is initially at rest on a wedge of mass 19 kg, height 0.20 m, and an incline angle of 30° as shown in the figure below. There is no friction between the wedge and the floor. Starting at the top of the incline, the block is released and slides toward...

Homework Statement http://img94.imageshack.us/img94/8821/phy001.th.jpg angle = 20 coefficient of kinetic friction between block and surface = 0.2 When the whold system released, what is the "acceleration" of blocks. all blocks have equal mass Homework Equations The Attempt at...

Homework Statement A block m slides from frictionless inclined (45 with horizontal (a)) of a wedge mass m which on horizontal plane with coefficient of friction u. Prove the wedge moves to right with acc. equal to g(1-3u)/(3-u) Homework Equations The Attempt at a Solution block has normal...

The Attempt at a Solution 8 kg block: T-m2g = -m2a T-m1g sin(theta)- u m1g cos (theta) = m1a T -m2g=-m2a subtract equations: -m1gsin(theta)-umigcos(theta) + m2g = (m1+m2)a or a = g(m2-m1sin(theta)-m2cos(theta)/(m1+m2) substituting values: a=g(8-10sin(30)-0.2(10)cos30)/(18) a=0.69m/s/s...