Rod Definition and 1000 Threads

Homework Statement A thin rod of length 2l and linear mass density of \lambda is constrained to move with its ends on a circle of radius a, where a>l. The circle is in the vertical plane (gravity is present). The contacts between the circle and rod are frictionless. Part A: Write down the...

Homework Statement A rod of length L has a total charge Q uniformly distributed along its length. The rod lies along the x-axis with its center at the origin.What is the electric potential as a function of position alon gthe x-axis for x>L/2 Homework Equations V=∫kdq/r = ∫kQ/r dx I'll...

hey guys, I have a question regarding how to get the potential energy for this. I can get the correct answer, but the solutions do a step that makes absolutely no sense to me, so hopefully someone leads me in the right direction :smile: Homework Statement Using energy method, derive the...

If the cylinder rod is pushing (extending), we have to consider buckling. What happens when it is pulling? Please let me know what properties of the rod we do have to take care of.

Hi all, A rod 100 km in length is made from a very light material. One end of it is pushed (with whatever energy that may be required for this). Would the other end move instantaneously or would there be a time lag? If so how much? Some views (No aggressive ones please, especially from...

I understand that the frequency of the sound produced when hitting a metal rod will change as you hold different parts of the rod to increase or decrease the length of it. However, what puzzles me is whether the frequency will change if you keep the position of your hand constant while hitting...

If you had a lined retangular section solenoid inclined at a angle of 45 deg and you rolled a rod magnet ( just fits inside the retagular section) down it. Would the current induced in the solenoid brake or accelerate the rod magnet.

What is the state of the art?

Here's a dumb question I came up with that I'm not seeing the answer to. For any system of particles, F_ext = M a_cm. Consider a uniform rod lying on a frictionless surface: -----------^ ---------------- --------------v Equal and opposite forces are exerted on the rod where the ^ and...

Homework Statement You have to design a rod to hold up the hood of your car. Assume the hood weighs 40 lbs, and the rod must be 3 feet long. What material would you use to make the rod? And what diameter would you make the rod? Homework Equations Stress= Force/Area Buckling equation...

It is cylindrical in shape and is solid (not hollow) and has uniform density. Igonre air resistance. It spins with some angular velocity omega and spins in the other possible ways. Apart from omega, how many more degrees of freedom is possible? I can find the MOI of a rod spinning with...

A metal rod and a metal ball more submerged in h2o, such that one end of the rod is adjacent to the ball. if the h2o will be heated from 30 k to 65 k, what is the acceleration of the ball? the initial length of the rod is 6 m. Vball= 6 cm3 Vrod= 9 cm3 Crod= 13 cal/g.c degrees Cball= 8 cal/g.c...

This is a pretty tough question for me. I am trying to learn, so please no rude people or trolls please. Here is the problem I was given. A 50 dyne steel rod is fixed at a point 20cm. from the right end. The clamp at this point provides a force of 200 dynes upward. The rod is in equilibrium...

Homework Statement A small bead of mass m is free to slide along a long, thin rod without any friction. The rod rotates in a horizontal plane about a vertical axis passing through its end at a constant rate of f revolutions per second. Show that the displacement of the bead as a function of...

Homework Statement What is the electric field within the rod? (See attached document for full question) Homework Equations emf = -d(phi)/dt= integral (E dot dl) The Attempt at a Solution The rod is moving within a uniform magnetic field. There is no change in flux through the...

If a rod of length l is uniformly charged with charge q what will be the potential at point p? The point is on the axis of the rod.Distance between the rod and point is r. Also tell the concept behind this. Any help will be highly appreciated.

Homework Statement Here is the question: Thin rod AB has length l=100 cm and total charge q=37 nC that is distributed in such a way that its line density ? is proportional to the square of the distance from the end A, i.e. ?(x) =kx^2. Determine electric field E at the end A of the rod. ...

Homework Statement Thin rod AB has length L=100 cm and total charge q0=37 nC that is distributed in such a way that its line density \lambda is proportional to the square of the distance from the end A, i.e. \lambda(x) =kx^2. Determine electric field E at the end A of the rod. Homework...

Homework Statement a uniform rod of length 4.0m of mass M is supported by a cable which is under tension T. The other end rests against as wall, where it is held by friction. The coefficient of static friction is 0.5. An additional mass M is hung from the rod at a distance x from the wall...

hello, Please see attached Ex and its Answer. I'm surprised that the pressure Txx has the same value as that in the instantaneous frame of the rotating rod Tx'x'. I believe this could be a typo isn't it ? Isn't the Lorentz transform the following matrix for the rotating rod around the z axis...

Homework Statement Suppose a thin rod of silver (E = 83 GPa, \rho = 10.5 g/cm3) is joined to a thin rod of gold (E = 78 GPa, \rho = 19.3 g/cm3). Both rods have the same cross sectional area, and a longitudinal wave passes from the silver into the gold. What amplitude will the transmitted...

Will a free falling rod rotate ? When we consider a bicycle is turning on a flat plane, we know that there is friction, which provide centripetal force on the bicycle. And we know that the bicycle is no longer perpendicular to the flat plane so as to reach equilibrium. What I want to ask why we...

Homework Statement Determine the actual shape of a copper bar in contact with a furnace at a constant 200 C at one end and a constant ice bank at 0 C at the other end. Diameter of the rod is 2.54 cm. Length is .5 meters. Thermal conductivity of copper is 380 J / (smC) Homework...

The pendulum bob in the above figure must circle the rod interrupting its swing, and the string must remain taut at the top of the swing. How far up must the bob be raised before releasing it to accomplish these goals? I don't know where to begin with this because I don't quite understand...

Homework Statement Calculate the fundamental frequency of a steel rod of length 2.00 m. What is the next possible standing wave frequency of this rod? Where should the rod be clamped to excite a standing wave of this frequency? Homework Equations Fn=nv/2L The Attempt at a Solution since the...

As shown in the figure attached. If both have the magnetization M, what will the B field and H fied for each object look like? why? I have no hint how to answear this question, can anyone help? any reply highly appreciated.

Homework Statement Find the solution of the heat conduction problem: 100Uxx=Ut, 0<x<1, t>0; U(0,t)=0, U(1,t)=0, t>0; U(x,0)=sin(2\pix)-sin(5\pix), 0\leqx\leq1 Homework Equations U(x,t)=\sumcne(-n2\pi2\alpha2t)/L2sin((n\pix)/L)...

Homework Statement A student measures the length of a brass rod with a steel tape at 20.0°C. The reading is 80.00 cm. What will the tape indicate for the length of the rod when the rod and the tape are at each of the following temperatures? a) -18.0°C Homework Equations...

Homework Statement A string attached to the center of a rod with radius R has a mass attached at the other end, moving with speed v0. Because of acceleration due to gravity the mass moves down while undergoing circular motion, causing the string to wrap around the rod. Find an expression for...

1. A rod 16.0 cm long is uniformly charged and has a total charge of -24.0 µC. Determine the magnitude and direction of the electric field along the axis of the rod at a point 36.0 cm from its center. 2. How is this problem done? 3...

Homework Statement A rod rotates clockwise about a point as pivot with the constant frequency 5 rev/s. Find the potential difference between its two ends, which are 80 cm apart, due to the magnetic field B = 0.3T directed into the page. Homework Equations There are two methods to find...

Homework Statement A light rigid rod is placed on a smooth horizontal surface. Initially the end A begins to move vertically upward with constant velocity v and centre of the rod upward with a velocity v/2 having downward acceleration a/2. The other end moves downward with a) 0 initial...

Homework Statement A metal rod is 50cm long. Its linear density at the point x cm from the left end is given by the equation p(x)=1/(100-x) gm/cm. Find the mass and center of mass for the rod. Homework Equations mass = \int p(x)dx center of mass = moment / mass The Attempt at a...

Homework Statement I need to find the Inertia Tensor of a Hollow Sphere and of a Slender Rod with center of mass set at the origin for my calculus 2 final project. I know how to do the triple integrals I am just having trouble figuring out what the limits should be for each of these shapes...

I am having trouble conceptualizing a calculus optimization problem. I can find the answer to the problem by using the procedure but i am quite uncertain of how the equations match up with what's actually going on in the situation! Problem: What is the max length of widthless rigid pole that...

Homework Statement Derive the Heat Equation for a rod in the shape of a frustum. Assume the specific heat c and density p are all constant. Use the "exact" method (through an integral) to derive the heat equation. Also, there is no heat source in the rod. Homework Equations The...

Homework Statement A copper rod 90cm long is used to poke a fire. The hot end of the rod is maintained at 103 degrees Celsius and the cool end has a constant temperature of 25C. What is the temperature of the rod 24cm from the cool end? specific heat of copper: c = 387 J/kg*K thermal...

Homework Statement Consider a long resistive rod, exhibiting resistance R, of length l and radius r. Calculate the magnitude and direction of the Poynting vector (neglecting edge effects) and relate the rate of energy transfer between the rod and its exterior to the total power dissipated in...

Homework Statement A straight rod moves along parallel conducting rails, as shown below. The rails are connected at the left side through a resistor so that the rod and rails form a closed rectangular loop. A uniform field perpendicular to the movement of the rod exists throughout the...

Homework Statement I am asked to find the angular velocity of a falling rod in the instant that the rod meets the horizontal. The system is set up in this image: The only force acting on the rod is gravity Homework Equations U = (1/2)MgL K = (1/2)Iw2 Kf + Uf = Ki + Ui The...

A steel rod like the one shown in the attached picture is fixed from one side and increasing amount of torsion is applied on the other side. Eventually, the rod breaks. Now it will obviously break from one of the two chamfered locations, where the middle portion of the rod with the smaller...

[b]1. A 2.0 kg uniform, horizontal rod is 1 m in length. What is the gravitational torque about the point A that is 25 cm from the left end of the rod. [b]2. T=Fr F=mg T=mgr [b]3. The center of gravity of the rod is directy at its center, so is therefore 25 cm from the...

Homework Statement The radius of a rod is 0.146 cm, the length of aluminum part is 1.2 m and of the copper part is 2.76 m. The rods are connected. Determine the elongation of the rod if it is under a tension of 3140 N. Young’s modulus for aluminum is 7 × 1010 Pa and for copper 1.1 × 1011 Pa...

Anybody know , where can I read some paper about problem which is known by: quantum rod, tipping rod, balancing pencil, quantum pencil. Thanks in advanced.

Homework Statement Homework Equations Since we are looking for force, this equation is what I thought we would use : F = qv X B I need to find B, so I am guessing amperes law will be used ∫ B.dr The Attempt at a Solution If the sliding rod has motion, we can say F =...

Homework Statement A 7.1 kg rod of 1.00 m in length is hinged to a vertical wall and supported by a thin wire. The wire and rod each make angles of 45° with the vertical. When a 10.0 kg block is suspended from the midpoint of the rod, the tension T in the supporting wire is 59 N. If the wire...

Homework Statement A conducting rod slides down between two frictionless vertical copper tracks at a constant speed of 4.5 m/s perpendicular to a 0.56-T magnetic field. The resistance of the rod and tracks is negligible. The rod maintains electrical contact with the tracks at all times and...

greetings, why the radii of the tip of lightning rod is small(few mm)? thanks.

Homework Statement Three balls are attached to a rod. Ball one has mass 0.614 kg and is 14.0 cm from the pivot. Ball two has mass 0.634 kg and is 25.0 cm from the pivot. Ball three has mass 0.729 kg and is 35.0 cm from the pivot. The rod has length 86.0 cm and mass 0.486 kg. Calculate the...