Plane Definition and 1000 Threads

I tried solving this by assuming the acceleration of the truck and block to be the same so the block would stay on the incline. Also, I would assume truck ma = static friction, block ma = mgsintheta... then I solved for a to plug into 1st equation to get 12990 N. Is this correct? I wasn't sure...

Hello everybody, I have to find the amplitudes of a wave that goes through 4 different mediums in terms of ##E_0##, suffering reflection in the first three but not the last one. I calculated the corresponding reflection indexes of the three mediums (all of them real). Following calculations, I...

I can imagine a frame within a blimp/hybrid airship so when the hydrogen inside the blimp is recaptured the skin retracts to form a wing. As the blimp travels faster it shrinks, the buoyancy giving way to the lift from its wing shape to a point in which it is no longer a blimp, but a plane. What...

While all orientable 2 dimensional compact smooth manifolds are boundaries e.g. the sphere is the boundary of a solid sphere, the torus is the boundary of a cream filled doughnut - not all unorientable surfaces are boundaries. For instance, The Projective Plane is not the boundary of any 3...

I think that the answer probably will be yes, but i have a question: Well, with respect to center of mass that's right, but if i choose the axis passing through the contact point, the weight force will produce torque, even without the friction.

Hi there! This is my first post here - glad to be involved with what seems like a great community! I'm trying to understand the acoustics of a finite plane-wave tube terminated by arbitrary impedances at both ends. So far all of the treatments I've managed seem only to address a different...

I'm trying to maintain a spec requirement of less than 3% drop from farthest pin to closest pin from source. I'used the entire layer for copper but my oart does not require such a large pour accept to handle high current. So I'm considering there's a trade off that should meet inthe middle of...

First, I have a question about supereposition of the plane waves - whether the direction of all such plane wave is same, i.e. ##\vec{n}## is in some direction. If not, I think it would be ##\vec{E}(\vec{x}, t)=\int\mathbf{\mathfrak{E}}(\vec{k}')e^{i\vec{k}'\cdot\vec{x}-i\omega t}d^3k##. Besides...

Is the spiral I drew here clockwise or counterclockwise ? What’s a trick to know whether it’s going CCW or CW. Thanks!

Summary:: I have done parts a-d but I can't seem to get e correct! A 6.10 kg block is pushed 9.00 m up a smooth 38.0 ∘ inclined plane by a horizontal force of 78.0 N . If the initial speed of the block is 3.20 m/s up the plane. a. Calculate the initial kinetic energy of the block. (found...

kinetic friction coefficient=tan(angle) kinetic friction force= tan(angle)x mass x g(9.8) by these 2 equations, I calculated kinetic friction equation=39.236N by f=ma, f= 24.7kg x 8.5ms-2 =209.95N so the force required should be 209.95+ 39.236N=249.1863? Im not sure, are there any other...

the red line is the initial velocity, the grey parabola is the path of the projectile. hi there...I'm kinda stuck at the part b of this problem. I can do part a with no problem. can anybody explain to me how to do the differentiation needed to solve part b?? by explain I mean explain the...

a. I tried to "rotate" the inclined plane so the surface of the inclined plane becomes horizontal h = Vi sin θi . t - 1/2 g cos ∅ t2 and when it falls to the plane, y = 0 so: 0 = Vi sin θi . t - 1/2 g cos ∅ t2 t = (2 Vi sin θi) / (g cos ∅) Is this correct?b. Particle hits the plane vertically...

Parallels exist in both Euclidean and Hyperbolic geometry. Yet each includes a separate postulate that declares the number of parallels to a line in a plane through a given point. But it seems that if both geometries have parallels then their existence - as opposed to how many of them - should...

Hi Smart People, I have spent a lot of time on this and have looked in Reed's and Wallker's applied mechanics but can't find a clear explanation. Calculating the force required when pulling up an inclined plane whether horizontally to the plane or at an angle seems pretty straight forward...

How is the definition of the IAU for the ecliptic plane? In particular I am interested how the perturbations are treated. Neither the Earth nor the common gravity center of Earth and moon move on an exact plane around the sun. I found the IAU document “Adoption of the P03 Precession Theory and...

For example, how would I graph a Position-Velocity phase portrait of a nodal sink or spiral sink? Given form of mx'' = -cx' - kx + βx^3.

Before looking at the proof of basic theorems in Euclidean plane geometry, I feel that I should draw pictures or use other physical objects to have some idea why the theorem must be true. After all, I should not just plainly play the "game of logic". And, it is from such observations in real...

First I find the normal vector given any position: $$w(x, y, z) = x^2 + y^2 + z^2$$ $$∇w(x, y, z) = (2x, 2y, 2z)$$ Normal vector of plane: $$w_2 = x - 2y + 3z$$ $$∇w_2 = (1, -2, 3)$$ ##∇w = ∇w2## => point where planes are parallel = (1/2, -1, 3/2) This is completely off, but I can't find any...

I tried to calculate the time the charged particle will take to reach the plane using the a and using d=1/2at² and found the t to be equal to root(4εmd/σq). I guess the time period of oscillation will be double of t (by symmetry), i.e. 2root(4εmd/σq). I don't know if this is correct.

I used work energy theorem between initial top point and point x along the incline(downwards) i got the expression of v then diffrentiated it to get a maxima but it gives me a wrong ans which is 10/6 but the actual ans is 10/3 please tell me what i did wrong

Homework Statement:: so basically, i need to drop a package from a moving plane so that it lands at a given location. the package has a parachute attached to it which opens as soon as it is dropped from the plane. so i need to figure out how much distance before the drop location i need to...

Hi, this is my try: I would appreciate any confirmation or correction . -- Thanks

Imagine we draw a two dimensional finite plane with coordinate axes; for simplicity, let's make it a square. Now, suppose we add a third dimension that represents the possible distances between any two points on the square. Now we have a three dimensional space. What shape will that space have...

I have an infinite sheet (in lossless, homogeneous medium) of time-harmonic current in ##yz##-plane at ##x=−d##. The current density on this sheet is given by $$\mathbf{J}=\hat{z}J_0\delta(x+d)$$ ##δ(x+d)## is delta function. Moreover, there is a perfect electric conductor (PEC) half space at...

I don't know where to start with this as I can't visualise a diagram for it. Any help would be appreciated.

a=m2g-m1gsinø-m1gcosøu/m1+m2

For the a part of the first problem I did this: mgsinθ < µk*mgcosθ Sinθ < µk*cosθ Tanθ < µk so θ should be less...

Hi If a rigid disc rolls down an incline plane without slipping then the component of weight down the plane causes the disc to accelerate downwards but the frictional force causes a torque which causes the disc to rotate, At the point of rolling without slipping the velocity of the centre of...

I was recommended by another mentor to purchase a good book on MWI, which I think should be a thread or poll of its own. Anyway, I might have debased myself too much in that other topic, as I understand on an abstract level how QM works. In my own words, I feel as though possible worlds are...

I created the attached file in geogebra but I don't know how to come up with less than 60 degrees. There always seems to be at least one angle that is large, no matter how I manipulate the curves. Quadrilateral is points US(1)V(1)W. The attached does not include angle measures but I assume the...

15. What is the minimum length of a plane mirror in order for you to see a full view of yourself? A 1/2 your height B 1/4 your height C 3/4 your height D your full height Q Why is answer of A given is the correct one, I understand pictorially how it is, since visually if you were to draw a...

Shown above is an octahedral coordination complex and it's mirror image. The complex has a plane of symmetry (shown in the left diagram, a diagonal plane passing through bottom left and top right corner, perpendicular to the square plane) ... but still it's mirror image is non-superimposable ...

This question showed up on my grade 12 physics test. The problem I have with this question is that I did not know the direction that the system would accelerate in, so I just solved as though the mass on the inclined plane would accelerate the system. I expected that if it would accelerate the...

I take 2 points given by the vectors of coordinates ##\vec{p}_i,\vec{p}_j## and a plane spanned by ##\vec{e}_k,k=1,2##. All the vectors are in dimension n. I want to find the intersection of the segment described by the extremities given by the ##\vec{p}_k## with the plane, if any. Is it...

The thing is that my professor said that if the velocity of ##A## is ##400 cm/s##, the velocity of ##B## is ##200 cm/s## because "##B## is connected to two parts of the rope and ##A## is conected just to one part", and he also said that that ##200 cm/s## is the velocity of ##B## with respect to...

I considered the downwards direction and left direction as negative. For ##m_1##, Newton's equations are: ##x) Fr + W_x - T=0## ##y) N - W_y =0## For ##m_2##: ##y) T - W =0## Then, if I replace the data, I get ##T=22.2 N## and then ##m_2=2.2 kg##. With that, for the second question ##m_2=4.4...

Here, I have two doubts 1) if the surfaces are frictionless, then there's no force being applied on the ##x' axis## of ##m_1## except from the weight, so it should be sliding, shouldn't it? So, there's no force that I could apply to ##m_2## to keep ##m_1## in equilibrium since any force that I...

So far I've got E=1/2m(dx/dt)^2+mgh this can be rewritten as (dx/dt)^2=2(E-mgxsin(Θ))/m Would there not be a positive and negative solution? dx/dt=±sqrt(2(E-mgxsin(Θ))/m) or do we discard the negative one? Why would we do so, if that's the case. So far I've only solved the postive solution and...

Homework Statement: A box of mass M=30 kg sits on a ramp which is tilted at angle 13 degrees. The coefficients of static and kinetic friction between the box and the ramp are both 0.12. The box is connected to a spring of spring constant k=9 Newtons per meter. Initially, the box is held in...

Homework Statement: Joe puts on his skis and heads for the slopes. A fresh layer of new snow has fallen, making the coefficient of kinetic friction between his skies and the snow only μk=0.037. He heads for the Starlight Run, which features a long slope at a constant angle of θ=17.8 degrees...

I've taken intro to classical mechanics, but am really not sure about how this example calculates the friction force and the normal force...I usually break down the force vector into components, and I understand that this is probably a much more simple way to calculate the perpendicular and...

Lorentz gauge: ∇⋅A = -μ0ε0∂V/∂t Gauss's law: -∇2V + μ0ε0∂2V/∂t2 = ρ/ε0 Ampere-Maxwell equation: -∇2A + μ0ε0∂2A/∂t2 = μ0J I started with the hint, E = -∇V - ∂A/∂t and set V = 0, and ended up with E0 ei(kz-ωt) x_hat = - ∂A/∂t mult. both sides by ∂t then integrate to get A = -i(E0/ω)ei(kz-ωt)...

a) Describe the motion of the spool: it will roll down the plane, rotating counter clockwise. I am confused when setting up equation of torque. If I take center of the spool as pivot, only the tension of thread produces torque but the direction will be clockwise and it makes the spool will move...

Homework Statement: Hollow cylinder balancing Homework Equations: F=m·r·(ang_v)^2 T=F·l Hi, I want to know how the hollowness of a cylinder would affect its balancing process. A little introduction: There are 2 different types of balancing: in a single plane (static balance) and in 2 planes...

I tried to workout the problem but I find motion in different coordinates systems a bit weird at the moment, so only thing I could do is realize that the x component of ##\vec r(t)## is: $$vt +x_0$$ but for simplicity we will use the initial condition ##x_0=0## so that ##t_0## is the moment the...

The plane autonomous system $$x' = -ax + xy\\y' = 1 - by - x^2$$ has a unique critical point when ##ab>1## Since if we set x' = 0, then either x=0 or y=a If y=a, then for y' = 0: ##1 - ab - x^2= 0## , but if ##ab>1## this leads to ##x^2<0## which has no solutions and thus ##y\ne a## The only...

The above screen shot is from, @ the 1:43 mark. Which set of points is random? Answer below. The right set of points.

For what value(s) of $h$ is b in the plane spanned by $a_1$ and $a_2$ $$a_1=\left[\begin{array}{r} 1\\3\\ -1 \end{array}\right], a_2=\left[\begin{array}{r} -5\\-8\\2 \end{array}\right], b =\left[\begin{array}{r} 3\\-5\\ \color{red}{h} \end{array}\right]$$ ok this should be obvious but I...

I don't really know how to begin this problem. I need some advice