Wedge Definition and 267 Threads

Homework Statement http://img32.imageshack.us/img32/6505/p450.gif [SIZE="1"]Cam mechanisms are used in many machines. For example, cams open and close the valves in your car engine to admit gasoline vapor to each cylinder and to allow the escape of exhaust. The principle is illustrated in...

Sketch: http://img88.imageshack.us/img88/6479/6219ek4.gif Find the volume of the wedge in figure (A) in above sketch by integrating the area of vertical cross sections. This is what I have so far: b(x) = length of base of triangle at position x h(x) = height of triangle at position x...

Homework Statement Attached in the files, scan from Resnick and Halliday. Also the answers (notice that I use a different meaning for u, but it shouldn't matter. Homework Equations Conservation of momentum, and conservation of energy. The Attempt at a Solution Initial Energy of the system...

Homework Statement (This is Harris-Benson Chap5 Problem 6, the statement reads: A block of mass m is on a wedge of mass M. All surfaces are frictionless. Suppose the wedge is accelerated towards the right by an external force at 5ms^-2 (=a). What is the acceleration of the block relative to the...

Homework Statement A block rests on a wedge inclined at angle \theta . The coefficient of friction is \mu . The wedge is then given a horizontal acceleration a. Assuming that \tan (\theta) < \mu , find the minimum acceleration for the block to remain on the wedge without sliding...

Homework Statement A 45 degree wedge is pushed along a table with constant acceleration A. A block of mass m slides without friction on the wedge. Find its acceleration. Homework Equations The Attempt at a Solution I quick sketched up the problem in the attached picture. It...

Hello: I have an inclined triangular wedge of angle Ø (meaning, this wedge makes angle Ø with the horizontal) and a block is lying on the wedge. the coefficient of friction between the wedge and block is u. (a) determine the max value of Ø for the block to remain motionless on the wedge...

Homework Statement A 2kg block rests on a frictionless wedge that haas 60 degree incline and an acceleraion a to the right such that the mass remains stationary relative to the wedge. a) determine a? b) what would happened if the wedge were given an acceleration larger than this value? c)...

Homework Statement Light of wavelength 640 nm in water illuminates a glass (n = 1.5) wedge submerged in water (n = 1.33). If the distance between successive bright fringes is 6 mm. Homework Equations The Attempt at a Solution I have a lot of trouble trying to convert the...

Homework Statement fringes are observed when a parrallel beam of light of wavelength 500nm is incident perpendiculary onto a wedge-shaped film with an index of refraction of 1.5. What is the angle of the wedge if the fringe separation is 1/3cm? Homework Equations t(x)=xtan(theta)...

Homework Statement This is a frictionless system with the wedge on a frictionless horizontal surface. When the system is released, the horizontal wedge (mass M) with diagonal angle theta moves to the left with constant acceleration a. What is it? I hope I'm right when I say this is...

Homework Statement http://img187.imageshack.us/img187/9476/dib.th.png mA = 22kg mA = 10kg No friction At t = 0, at rest a.- Find aB b.- Find vB/A at t = 0.5s Homework Equations The Attempt at a Solution http://img504.imageshack.us/img504/3786/dib3.th.png...

Homework Statement A uniform ball of mass m rols down a rough wedge of mass M and angle alpha , which itself can slide on a smooth horizontal table. The whole system undergoes planar motion. How many degrees of freedoms does this system have.? Obtain langrange's equations. for special case...

This is not a homework question! I am not a physics guru (clearly) and need help solving what I think is probably a simple calculation for someone who knows what they're doing: I have a rotating plate with a "ramp" or wedge growing out of the perimeter of the plate. The wedge is...

Can someone please thoroughly explain how the determinant comes from the wedge product? I'm only in Cal 3 and Linear at the moment. I'm somewhat trying to learn more about the Wedge Product in Exterior Algebra to understand the determinant on a more fundamental basis. A thorough website or...

Hey, I am new but was trying to find help online and found this site...hopefully someone will be willing to help me. I used to be really good at mech but I've gone blank and my exams wed and i was wondering if someone could just help we with where to start even if they don't know the ans it...

Are the factorials a part of the standard definition of the wedge product? Is there an overwhelming majority or does the definition tend to vary from author to author? (As many other things do.) What I am referring to is: given two one-forms \sigma and \omega does everyone pretty much use...

Homework Statement A solid sphere of radius 1 m and mass 5 kg is placed in a wedge with θ = 29 ◦ The inner surfaces of the wedge are frictionless. The acceleration of gravity is 9.8 m/s2 . Determine the force exerted by the wedge on the sphere at point B. Answer in units Figure, ASCII style...

Homework Statement Please, I just am trying to understand the question. I wish to prove it on my own, but the way the question is phrased makes no sense. So here it is: Let us define the linear map \phi : V^{*} \otimes \bigwedge^{i} V \rightarrow \bigwedge^{i-1} V by the formula \ell...

Hi all, I am taking this math methods course in grad school, and in the lectures we stormed through differential geometry. My geometry is already horrible, I find it hard to understand all these forms, fields, tensors, wedge products etc... I would be glad if you could suggest some books...

What is the force that the scale reads (the "weight") as the mass slides down the slo There is an object on top of a wedge sitting on a scale. When the object is released, the object slides down the slope of the wedge. What is the force that the scale reads (the "weight") as the mass slides...

Hi all! The prof for "theoretical methods in physics" mentioned last week the term "wedge product" but it all remained very unclear to me. I read about it in Wikipedia, but couldn`t catch it at all, cause I`m doing in the first semester now. Does anyone know where I could find it well...

Homework Statement A wedge with an inclination of angle theta rests next to a wall. A block of mass m is sliding down the plane, as shown. There is no friction between the wedge and the block or between the wedge and the horizontal surface. (Intro 1 figure) what is the magnitude of the force...

Homework Statement Find the triple integral of z where E is bounded by the planes z=0 y=0 x+y=2 and the cylinder z^2+y^2=1 in the first octant. Homework Equations The Attempt at a Solution Just want to make sure that my setup is right. The limits of integration of x are 2 to 0, for z...

Homework Statement A wedge with mass M rests on a frictionless table. A block with mass m is place on the wedge. There is no friction between the block and wedge. When the system is released, what is the acceleration of the wedge and the acceleration of the block. Give the accelerations in...

Homework Statement 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 600 nm light, 30 dark fringes are observed. Calculate the radius of the wire. The attempt at a solution Wasn't really sure how to go...

hi.. i have a problem that i need to solve.. in the attached mage, there is a submerged object in water cousing na upward lift force of 100kg. above it is a lever with a weigh attached to it weighing at 90kg. wll this weight difference be enough to move the metal wedge from point a into point...

Homework Statement A mass m[SIZE="1"]1 sits on an incline with mass m[SIZE="1"]2 and angle \theta. Find the accelerations of m[SIZE="1"]1 and m[SIZE="1"]2 relative to the ground after they are released. This is a long and tricky problem (since we do not know the normal forces, and we have...

Anybody know a good approach to factor a wedge product (blade) into a set of vectors? Loosely, I'd describe the prodlem as finding a basis for the hypervolume that the wedge product "spans". Example to illustrate the question, taking a grade 2 blade, suppose one had something like: A =...

My differential forms book (Flanders/Dover) defines an inner product on wedge products for vectors that have a defined inner product, and uses that to define the hodge dual. That wedge inner product definition was a determinant of inner products. I don't actually have that book on me right...

Homework Statement The coefficient of static friction between a truck and road surface is \mu_{s}. What is the maximum acceleration of a four-wheel-drive truck of mass M if the road surface is at an angle of \theta with the horozontal when the truck is... a). Climbing b). Decending...

http://i257.photobucket.com/albums/hh216/Megatallica/wedge.jpg When the wedge is pushed by the constant force, how big must the force be in magnitude to keep the box at a constant height above the table. Assume no friction. Well the force pulling the box down is a component of its...

Homework Statement A 45 degree wedge is pushed along a table with constant acceleration A. A block of mass m slides without friction on the wedge. Find its acceleration (gravity is downwards),Homework Equations The Attempt at a Solution I answered the above question on another forum, but got...

Homework Statement A wedge with mass rests on a frictionless horizontal table top. A block with mass is placed on the wedge. There is no friction between the block and the wedge. The system is released from rest. Homework Equations (-gm)/((M+m)tan(alpha)+(M/tan(alpha))) The...

A wedge with an inclination of angle theta rests next to a wall. A block of mass m is sliding down the plane, as shown. There is no friction between the wedge and the block or between the wedge and the horizontal surface. Find the magnitude, F_ww, of the force that the wall exerts on the...

I have a quick question about solving Laplace's equation for a wedge with radius a and angle 60º. I need to make the periodicity conditions correctly, so that I can have a reasonable problem to solve. For a circular ring you would simply say that the equation should not differ whether you come...

Homework Statement a ball with mass m and velocity v is moving up a wedge of mass M. What height does the ball reach if: a) the ramp is fixed on the table b) the ramp is able to move on a frictionless surface Homework Equations mgh (1/2)mv(squared) The Attempt at a Solution for...

Homework Statement a particle of mass m moves down the inclined face (angle A) of a wedge of mass M which is free to move on a smooth fixed horizontal table. by determining the forces acting on i) the particle, ii)the wedge and iii) the system of wedge + particle, show that the...

Homework Statement A block of mass m rests on a wedge of mass M and height H which, in turn, rests on a horizontal table. All the surfaces are frictionless. If the system starts at rest with the block on the top of the wedge, find the displacement of the wedge during the time the block...

Hey folks, I'm reading "Symmetry in Mechanics" by S. Singer and I'm stuck on an exercise. It asks to find an antisymmetric bilinear form on R^4 that cannot be written as a wedge product of two covectors. Here are my thoughts thus far: on R^2 its trivial to show that every antisymmetric...

Homework Statement A wedge of mass 4kg and angle 30 degrees is at rest on a smooth horizontal table. a mass of 1kg is placed on the smooth inclined face of the wedge and a horizontal force of 10N is applied to towards the vertical face of the wedge. Show that the acceleration of the wedge is...

Homework Statement Small block of mass "m" rests on sloping side of triangular block of mass "M" which itself rests on table. Assuming all surfaces are frictionless, determine force "F" that must be applied to "M" so that "m" remains fixed. Wedge incline is "THETA" Homework Equations The...

Help needed - Equation of a wedge shaped plane! Hi All, I need some help to derive a formula to describe a plane. This I know already but this has all four sides with a different gradient. Is there a formula I can use which I apply the X (lenght) any Y (width) coordinates and it will...

Ok, one more diff geometry question! I need to show the following: Show that if Cij are components of an antisymmetric tensor then C_{ij}dx^i\otimes dx^j corresponds to the 2-form C_{ij}dx^i\wedge dx^j. Now, I know that the wedge product is anti symmetric, and that it can be expressed in...

This has to do with the wedge product ^ on alternating tensors. I can't seem to prove w ^ n = (-1)^kl * n ^ w. where w is a k alternating tensor and n is an l alternating tensor. I know w ^ n = (k+l)!/(k! l!) * Alt(w x n) where x is the tensor product. Now, Alt(wxn) (v_1,...,v_k+l) =...

A steel ball of mass 1.7kg (16.66N) rests in the V shaped wedge (25 degrees) formed by two steel plates. Find the magnitude of the force exerted on each plate by the ball if the friction between the ball and the plates is not significant. I really don't know where to start here, or exactly...

Hi, A block of mass 'm' slides on a wedge of mass M. The wedge also moves on a smooth frictionless surface. Find the acceleration of the wedge. I have written down the equations of motion for the wedge and the block but don't know how to proceed further as there are more variables than...

Problem: "A smooth wedge of mass M has a triangular cross section with a side inclined at an angle theta to the horizontal base. The wedge can slide without friction along a horizontal support. Placed on the side of the wedge is a mass m that can slide with no friction along the side. Find...

from the attachment, i need to answer question 2.15c and 2.16. here is what i did with the questions: in the first question i got the next set of equations, which apparently are incorrect cause i didnt get the answer from the book: T-uM1g=M1a uM2g-T=M2a M3g-T'=M3a' T'=2T 2a'=a wher...

What's the difference between a wedge product and a cross product?