Center Definition and 1000 Threads

On the diagram in the thumbnail,You could see A,B,C,D I read from somewhere that forces acting on the two sides should be equal to be in equilibrium But a person moving closer does not change the forces i.e the forces on the two sides is still equal and the center of gravity still lies on the...

Homework Statement This has a fairly long problem statement, so I'll condense it. There are two gates with 81 vertical pickets and two horizontal support bars. These are holo rectangular tubes. The pickets are 2" x 2" x 3/16" box beams and support bars are 4"x6"x3/16" Box Beams. One...

Homework Statement A sphere magnet of radius a has permanent uniform magnetization, z-axis. So we were trying to find the magnetic field at the center of the magnet in class. Homework Equations j_M(θ)=Msin(θ) dI=j_M(θ)adθ circular loop r_{loop}=asin(θ)The Attempt at a Solution When using...

Homework Statement A canoe of mass 38 kg lies at rest in still water. A man and a woman are at opposite ends of the canoe 4.0 m apart and symmetrically located with respect to the canoe’s centre (which is also its centre of mass). The mass of the man is 65 kg and the woman’s mass is smaller...

Homework Statement T is the solid bounded by the cylinder y^2+z^2=4 and the planes x=0 and x=3. The mass density at a point P of T is directly proportional to the distance between P and the yz-plane. Find the center of mass of the solid T. Homework Equations y^2+z^2=4 x=0 x=3 The...

In the figure, a square of edge length 16.0 cm is formed by four spheres of masses m1 = 4.50 g, m2 = 2.80 g, m3 = 0.800 g, and m4 = 4.50 g. In unit-vector notation, what is the net gravitational force from them on a central sphere with mass m5 = 2.10 g? F = G (m1m2/r2) To get the...

A 10 nC point charge is at the center of a 2.0m x 2.0m x 2.0 m cube. What is the electric flux through the top surface of the cube? related equations: gauss's law -- Qin/e0 e0 = 8.85 x 10 ^-12 C^2/Nm^2 my attempt: 10 x 10^-9 C ________________________ = 1129.94 C/Nm^2 8.85 x 10...

So I'm trying to find vehicle center of gravity, but i only have this information: full loaded vehicle weight(3200kg or 31392 N) empty vehicle weight(2000kg or 19620 N) maximum rear axle capacity(1500kg or 14715 N) maximum front axle capacity(1800kg or 17658 N) Is this possible? I have a book...

I have the following process: two ingoing particles, a photon hitting a nucleus, and two outgoing particles, the nucleus and a pion. I have computed |M|2 and the differential cross section in the center of mass frame dσ/dΩCM; I now have to go into the lab frame, where the nucleus is initially at...

Homework Statement See the image attached Homework Equations Ex = (Kλ/R)*∫3/2ππ/2(cosθ)dθ The Attempt at a Solution Ey cancels because there is an equal amount of force in both y directions. For the electric field on the x axis, the above equation can be used. Given that λ=Q/L...

Is gravity, in sense of pressure, strongest in center of objects like planets, stars, BH, galaxies? If all atoms attract each other then center cannot be it, right? If you had a hole in center of Sun (hypothetically) and put there a little ball, would that ball get crushed, torn apart or just...

Homework Statement Find the mass and the center of mass of the solid E with the given density function ρ(x,y,z). E is bounded by the parabolic cylinder z = 1 – y2 and the planes x + 4z = 4, x=0, and z=0; ρ(x,y,z) =6. m=? x=? y=? z=? Homework Equations z = 1 – y2 and the planes x...

two automobiles each of mass 1200kg traveling a the same direction. Speed of one automobile is 29.0 m/s and the other is 19 m/s. Regard these automobiles as a system of two particles. a)what is translational energy of center of mass? I found velocity at center of mass which is 24 m/s and...

Homework Statement See attached image Homework Equations 1/4πε*q/r The Attempt at a Solution I know that since the problem gives centimeters, there are initial changes to units to be made in the permittivity constant. This makes it 8.86x10^-9 N/nanoCoulombs and 100 mm. But...

a(n) proton (mass 1.67x10^-27 kg) of kenetic energy 1.58x10^-12 J is moving toward a(n) proton (mass 1.67x10^-27) at rest. what is the velocity of the center of mass of the system I used the equation k=1/2mv^2 -> sqrt(2k/m)=v sqrt(2*1.58x10^-12 /1.67x10^-27)=4.34x10^7

Homework Statement Assume that the interior of the Earth is an incompressible fluid. The density is constant: ρ = M/V. The pressure p(r) depends on the distance r from the center of the earth. The equation for static equilibrium of a self-gravitating fluid sphere is p(r)δA − p(r+dr)δA −...

Figure below shows the shape of a nitric acid (HNO3)molecule and its dimensions. Treating the atoms as particles, findthe center of mass of this molecule. a)I know that xcm=m1x1+m2x1+.../Total mass. The total mass in this case is 63 but based on the picture I don't know which mass I should...

Homework Statement Consider a uniformly charged insulating sphere with radius R and total charge Q in- side the sphere. If Q = 2.9 × 10−6 C, what is the magnitude of the electric field at r=R/2 K=columbs constant. The answer to this question is E=(K)(Q) / (2)*(R)^(2) The second...

Hi, I have this problem that I'm trying to solve and it has been a few years since I've taken Physics. I want to know how you would approach and solve this problem, and what equations you would use. Hopefully somebody here can help me out. The Problem: A vehicle is on a road that is V inches...

Homework Statement Three uniform thin rods, each of length L = 22 cm, form an inverted U. The vertical cords each have a mass of 14 grams. The horizontal rod has a mass of 42 grams. What are the x coordinate and y coordinate of the system's center of mass? Homework Equations xcom=...

So...I have two different homework problems. I'm not asking for answers to these problems! Just clarification. In problem one I am asked: A thin disk with diameter d rotates about an axis through its center with 0.260J of kinetic energy.What is the speed of a point on the rim? I use E = 1/2Iω2...

Suppose two friends, with masses m2 = 1.3 m1, are on a perfectly smooth, frictionless, frozen lake. They are both holding the end of a rope of length Lo . a. Find the position of the center of mass, in terms of Lo , from the smaller person. b. If the two pull half of the rope in such...

Hi, I understand that according to general relativity the time dilation experienced due to gravity gets more significant the more you go down in a gravitational well, so the maximum should be at the center of the mass. But I can't really rhyme that idea with the idea that the time dilation has...

Homework Statement Homework Equations X_{T} = \frac{1}{m}\int_{K}^{} x dmThe Attempt at a Solution I have decided a) and I got the volume to be ∏ volume units. I need help with b). I try to use the formula and I get this: X_{T} = \frac{1}{\pi}\int_{K}^{} 3\pi x sin^2xcosx dx But I need help...

I have decided a) and I got the volume to be ∏ volume units. I need help with b). I would need to have the physics of the problem explained. Please help me explain the physics, so that I from it can understand how to solve b). :smile:

Homework Statement An automobile with a mass of 1321 kg has 3.40 m between the front and rear axles. Its center of gravity is located 1.78 m behind the front axle. (a) With the automobile on level ground, determine the magnitude of the force from the ground on each front wheel (assuming equal...

1. The coordinates of the center of mass for the extended object shown in the figure are (L/4, −L/5). What are the coordinates of m1? (Assume m1 = 7 kg, m2 = 3 kg, and m3 = 5 kg. Use any variable or symbol stated above as necessary.) 2. 3. I too the centroid cordinates and...

Just trying to complete my physics coursework on bloodhound ssc. Could anyone help to answer the question: why don't jet engines work in supersonic air without a spinner in the centre of the blades ? Thanks.

I remember seeing a way to do this, can someone link me to some relevant material or post a proof and equation? Thanks

Let sharp triangle ABC inscribed circle $(O;R)$ and $H$ is orthocenter of triangle ABC. circle $(E;r)$ tangent to $HB$, $HC$ and tangent to in circle $(O;R)$. Prove that: midpoint of $HE$ is center of the circle inscribed the triangle $HBC$

Homework Statement A rod of mass M and length L rests on a frictionless table and is pivoted on a frictionless nail at one end. A blob of putty of mass m approaches with velocity v from the left and strikes the rod a distance d rom the end as shown, sticking to the rod. 1. Find the angular...

1.Two particles lie on an x axis, particle 1 at x = 1 m and particle 2 at x = 2 m. If you gradually increase the mass of particle 1, what happens to the center of mass of the two-particle system? 2.If an external force acts on a system of several objects, can the external force change the net...

Center of gravity and Center of mass different?? I was developing a test for my students and always look for a difficult question as the only bonus question. I came across the question in the book, "When are center of gravity and center of mass different?". I thought about it before looking at...

Homework Statement How do the charges distribute when I have a spherical conductor centered cavity with a point charge not in center inside the cavity? See image: Homework Equations N/AThe Attempt at a Solution I would guess solution 1, but my tutor says it's 4, and I just can't believe him...

Homework Statement Find the mass and center of mass of the lamina that occupies the region D and has the given density function ρ. D is bounded by the parabolas y = x^2 and x = y^2; ρ(x, y) = 23√x Homework Equations m = \int\int_{D} ρ(x, y) dA x-bar = \int\int_{D} x*ρ(x, y) dA y-bar =...

Homework Statement Find the center of mass of a 5kg circle with a radius of 4m with a circle that has a radius of 2m cut out from it. Homework Equations The Attempt at a Solution To be completely honest, I do not know where to start. I do know how to find the center of mass when...

Let's assume there is a hole that goes through the center of the Earth with ideal conditions (earth is spherical and gravity is the only force). If you dropped an object with a mass of, say 20kg, what is its velocity at the center of the earth? I know the force is much like that of a spring and...

Homework Statement Charge Q is uniformly distributed around the perimeter of a semicircle of radius R. What is the electric field at the circle's center? Homework Equations E=kQ/R^2 The Attempt at a Solution λ=Q/(∏R) ∫(kλ)/R^2 dθ from 0 to pi and get the answer to be...

Homework Statement find the center of mass of a thin plate with constant density in the given region. region bounded by y-axis, x=y-y^3 ; 0<=y<=1Homework Equations x(bar) = (integral)(a to b) α(x) * x * (f(x) - g(x)) ---------------------------------- (integral)(a to...

Homework Statement We have an electron in 3D space in which there is also a magnetic uniform field B=Bz. At t=0, we have z=0 and $v_z=0$. We have to find the center of the circumference traveled by the electron using only x, y, v_x and v_y (coordinates and velocity of the electron at the...

Homework Statement Find the center of mass of a thin plate of constant density (δ covering the triangular region in this first quadrant between the circle x^2 + y^2 = 4 and the lines x=2 ; y=2. Homework Equations x^2 + y^2 = 4 and the lines x=2 ; y=2. The Attempt at a Solution...

Uniform semi circle of radius R whose diameter is on the x axis. Since it is uniform and symmetric on the x axis, x = 0. For y, we have $$ y_{cm} = \frac{\int y\sigma dA}{\frac{\pi R^2}{2}} $$ In polar, $dA = rdrd\phi$. So the integral becomes $$ \int_0^{\pi}\int_0^R y^2\sin\phi drd\phi $$ How...

How does one prove the center of mass of a two particle system lies on the line joining them? Would we do this by contradiction? Suppose on the contrary that the CM doesn't lie on the line joining the two particles. Where do I go from here though?

Homework Statement A particle moves with constant speed v around a circle of radius b. Find the velocity vector in polar coordinates using an origin lying on the circle. https://www.desmos.com/calculator/maj7t9ple1 Imagine the r starts at (0,0). Homework Equations \frac{d\vec{r}}{dt} =...

Homework Statement Homework Equations Energy The Attempt at a Solution So I'm not exactly sure what this question even wants considering the statement is true by the work - energy theorem. Does it want me to show it explicitly for this case? If so, then, since there are no forces...

Homework Statement A large wooden beam weighs 820 N and is 3.2 m long. the beam's CG is 1.4 m from one end. two workers carry it away. If they lift the beam at its ends, what part of the weight does each worker lift? Homework Equations Tcw=Tccw F*l=F*l The Attempt at a Solution I...

Hi, I just have a quick question I hope I can explain well. Suppose you have a metal rod that you apply a force to for a brief moment at the center of mass. It won't rotate and it will move forward at velocity V. Now you reset the scene and move the the force so it's applied off center off the...

hi can anyone tell me how to find cg location(height ,position) for two wheeler bike weighing 116 kg....and also the cg of a person(70kg) riding the vehicle and cg of passenger(80kg )sitting at the back......please tell me the procedure in brief to calculate cg of vehicle,rider,passenger...

Homework Statement Hi, I have a problem that describes a uniformly charged disk and the electric field a distance z from the center. I have found an equation that describes the E field at any point z already. Now I have to find out how the E field decreases as z increases-- as 1/r^2...

Homework Statement If Bethany and Serendipity each exert a force of 350 N on each arm of a wheelbarrow with 1.25 m arms and carry Cardinal Glick in the bucket, who has a weight of 1,050 N, where is the center of gravity of the bucket and the Cardinal with respect to the wheel? Pointers would...