Rod Definition and 1000 Threads

Homework Statement A thin rod of length 2b is suspended by 2 light strings both attached to the ceiling. Using x, y1, y2 as your generalized coordinates right down the lagrangian of the system. Where x is the longitudinal displacement of the rod and y1 and y2 are the horizontal displacements...

Hello physicsForum.. I am trying to make a 2d physics engine for my game all on my own but I am stuck in the very basic problem. My problem is this.. If there is a rectangular body (with negligible depth since i am working on 2d) is present in free space as in attached file and a force of...

Homework Statement A uniform rod AB of weight 20N is hinged at a fixed point A. A force acts at B holding it in equilibrium at 30 degrees to the vertical through A. calculate force acting at B if it is perpendicular to the rod. The Attempt at a Solution I figured that the angle between...

limit to the amountof heat contained in a rod?? Hi. I just wanted to know is there any limit to the amount of heat energy that a body can store in itself? For example, we have a rod of copper and one of its end is in contact with a source of heat (at the maximum temperature of 373 K), the rod...

I was wondering if anyone has any actual data on the surface temperature of a fuel rod as a function of time. I am really curious as I am trying out a model I found which uses the fractional calculus. Or if anyone could point in the right direction to find said data that would be great as well.

Suppose we have a rod standing vertically and then slightly disturbed so it begins to fall. After it falls through some height or angle assuming a clockwise rotational fall I can see that the left end is sliding on the surface ( for simplicity I'm ignoring friction ) horizontally. Here I assume...

Homework Statement I can't figure out why there is no bound current in the problem 6 (very subtle hint boldfaced) is the pdf below: http://astronomy.mnstate.edu/cabanela/classes/phys370/homework/ps10.pdf Can anybody give me a hint as to why there should be no bound current The Attempt at a...

Homework Statement A rod of length L lies along the x-axis with its left end at the origin. A total charge Q is distributed non-uniformly on the rod, so that ?=ax, where a is a positive constant. (a)Determine the constant a. (b) What is the potential due to this charged rod at a point along...

To give you a better idea, I have it drawn out here: http://tinypic.com/r/eq6ln5/6 I am calling the thickness of a rod t and the thickness of the shaft t2. I am using the basic equation Ixx = (integrate over area)(y^2)dA on different sections and then adding them all together, following the...

When looking at example 3 in this pdf: http://www.physics.isu.edu/~hackmart/centerofmass.pdf where it shows how to find the Center of Mass of a Nonuniform Rod. I was wondering when or what you have to know in order to integrate over dm rather than changing the variables in terms of dx.

Homework Statement A homogeneous rod with a length L and a mass M rotates with an angular velocity ω in a horizontal plane around an axis passing through its end.Find the tension of the rod at a distance x from its axis of rotation .Homework Equations The Attempt at a Solution...

Homework Statement A box of ant aunts (m1 = 1.65kg ) and a box of ant uncles (m2 = 3.30 kg) slide down an inclined plane while attached by a massless rod parallel to the plane. The angle of incline θ = 30°. The coefficient of kinetic friction between the aunt box and the incline is μ1 =...

Homework Statement Homework Equations First Law, U = Q-W We also need to apply a force equillibrium on the pistons The Attempt at a Solution Since the problem says the walls and pistons are insulated, we know there is no heat transfer and the process is adiabatic but not...

I need just one thing I need help to understand? The Core in a BWR just a BWR has Fuel Rods that Heat water to make Steam. But one thing when the watter Heats up is the Steam in the same place as the Fuel Rods? What I meen is this. Every photo I look at shows Fuel Rods in the Watter...

Homework Statement A 1.50 m cylinder of radius 1.10 cm is made of a complicated mixture of materials. Its resistivity depends on the distance x from the left end and obeys the formula ρ(x) = a + bx^2, where a and b are constants. At the left end, the resistivity is 2.25x10^-8 Ω m, while at the...

Homework Statement There's a metallic rod of length l1 which is spinning around a vertical ax which passes through its center. The ends of the rod are spinning with ω1 angular speed. Homework Equations Determine the temperature at which to heat the metal rod so that the angular speed of...

Homework Statement A uniform 300-kg beam, 6 m long, is freely pivoted at P. The beam is supported in a horizontal position by a light strut, 5 m long, which is freely pivoted at Q and is loosely pinned to the beam at R. A load of mass is suspended from the end of the beam at S. A maximum...

Homework Statement A rod 14.0 cm long is uniformly charged and has a total charge of -22.0μC. Determing (a) the magnitude and (b) the direction of the electric field along the axis of the rod at a point 36.0 cm from its center. d (the distance between the center of the rod and the point)...

Homework Statement A rod of length 2L has a charge -Q uniformly distributed over its left half and +Q uniformly distributed over its right half. Find E at point p a distance z above the center of the rod. Homework Equations E= 1/(4pi\epsilon_{0})∫dq/r(\hat{r}) dq=λdl where...

Homework Statement Consider a rod that is 1m long whose radius changes from 1cm at one end to 4cm at the other end in a uniform fashion. Assume that the end with r=1cm i kept at 0°C and that the end with r=4cm is kept at 100° C. Determine the temperature profile along the rod. One can assume...

Homework Statement A pendulum consists of a uniform rod of mass m and length l hanging from the bottom end of a light rod of length l which top end is fixed to the ceiling. (see file attached) System moves in a vertical plane. Find equations of motion. Coordinates of the center of mass...

Homework Statement A uniform thin rod of mass m and length l is standing upright on a table, then given a tiny kick so it tips over. The lower end is fixed. Find angular velocity when it hits the table. Homework Equations The Attempt at a Solution So I applied conservation of...

Homework Statement a homogeneous rod of length 2l and mass M can turn without friction in a horizontal plane and about a fixed vertical axis O through the center of mass of the rod. initially, the rod is at rest. A particle of mass m collides in a short, completely elastic collision with one...

Homework Statement A thin uniform rod is attached to an axis through its midpoint. The axis is standing on a disk rotating with constant angular speed \Omega about its symmetry axis. The rod's midpoint is located directly above the rotational axis of the disk. Let \theta denote the rod's...

A rod (mass M, length L) hinged at point X. End Y is attached to X by an elastic string passing over a pin P, the natural length of the string is L. P is a distance L from X. Elastic Modulus of string: (1/4Mg) Refer to GPE to X and prove that total PE is: (1/4)MgL(1-cosθ-2sinθ) and find...

Hi guys, I'm studying my first semester in engineering, I was giving the first assignment in my material science class which I'm not so sure on how to get started on. The assignment was to ask us to design a aluminum rod which has the following specification: 1) Withstand an applied force...

If we wanted the rectangular plate to be able to move slowly up and down on the rods without binding, what would be an appropriate bearing to allow it to move smoothly on the rods?

Homework Statement For the rod in Problem 10 (already solved this, see below): (a) plot u vs. x for t= 5, 10, 20, 40, 100, and 200 (b) plot u vs. t for x= 10, 20, and 30 (c) how long does it take for the entire rod to cool off to a temp. of no more than 1 degree C? Homework...

Hi guys! I'm working some problems for our exam in a few weeks and there are a few problems we are unable to solve. One of them is: "A homogenous rod is free to rotate without friction around one of it's ends. Find the reaction force in function of the position of the rod." As you can see the...

Homework Statement Here's the problem: Homework Equations V = ke ∫ dq/r V is the electric potential, ke Coulomb's constant, q the charge and d the distance. λ = q / L , where λ is the charge density, q the charge and L the length of the rod. The Attempt at a Solution...

For prelim preparation. I've also included a figure of the problem. Homework Statement A stick of length l is suspended by one end at point P so that it hangs vertically and so that the top end of the stick does not move. A horizontal impulse J is applied perpendicular to the stick a...

Homework Statement A long copper rod with insulated lateral surface has its left end maintained at a temperature of 0C and its right end, at x=2m , maintained at 100C . Determine the temperature T as a function of time and coordinate if the initial condition is given by T(x,0)={ 100x, 0<x<1...

Hi all! So I've been doing some work with potential calculations, and I seem to be running into a bit of trouble with figuring out how to think about the potential due to a rod at the very edge of it. Imagine an insulating rod with charge Q is placed along the positive x-axis, with its...

Consider a free rod lying horizontically in the air. Gravity produces no torque around the center of mass. Now let the rod be attached to a hinge like of that one the picture. Now the hinge provides an upwards force on the left end of the rod, whilst there is a torque effectively acting at the...

[SOVLED] Angular speed of rod after projectile collides into it Homework Statement Homework Equations L = r x p Iparallel = ICM + md2 The Attempt at a Solution L = r x p = mvir = mvid/2 mvi(d/2) = (Iparallel + md2)ω mvi(d/2) = (1/12M(d/2)^2 + m(d/2)^2)ω Plugging and solving...

Homework Statement Homework Equations r * \alpha = atan r * \omega^2 = arad The Attempt at a Solution arad = (L/2)(3g/L) = 3g/2 atan = (L/2)(3g/2L) = 3g/4

Hi all, I'm currently designing a housing for a camera and omnidirectional mirror for a robot. The housing is connected to the robot through a rod of about 25mm diameter. ...{...}... (housing) ...|... (rod) ...(___)... (robot base) I'm trying to compute the deflection in the rod when the robot...

The left end of a long glass rod 6.00cm in diameter has a convex hemispherical surface 3.00cm in radius. The refractive index of the glass is 1.60. Distances are measured from the vertex of the hemispherical surface. A.)Determine the position of the image if an object is placed in air on the...

Homework Statement I need some help with the following problem: http://desmond.imageshack.us/Himg62/scaled.php?server=62&filename=problem1p.jpg&res=landing The Attempt at a Solution (i) I used the conservation of angular momentum (since there is no external torque): L_{before} =...

Homework Statement Two masses, m1 = 1.65kg and m2 = 3.30kg, attached by a massless rod parallel to the inclined plane on which they both slide, travel along the plane with m1 trailing m2. The angle of incline is 30°. The coefficient of kinetic friction between m1 and the incline is μ1 = 0.226...

Hello, I have puzzled myself with a question: what is the potential of a conducting rod in a homogeneous electric field (net rod charge = 0)? To be more exact I imagine a conducting rod suspended on a non-conducting thread in the Earth electric field near and perpendicular to its surface. If...

If an aluminium disk is placed above a COMPLETELY vertical current carrying iron rod will any flux link with the aluminium disk... Firstly, does it matter if the current is AC or DC. I presumed not as the only difference is that the magnetic field will vary in one case and stay constant in...

Homework Statement If an aluminium disk is placed above a COMPLETELY vertical current carrying iron rod will any flux link with the aluminium disk ASSUMING ideal situations Homework Equations The Attempt at a Solution ------ I think not because the current carrying rod produces a circular...

Homework Statement I need to calculate the breaking point of a Steel rod. Homework Equations I know the density: 8.03 Cross section: 1m^2 Tensile Strength: 500*10^6 Volume: 62266500.6 The whole length is: 406700 The Attempt at a Solution Please provide me with explanations...

Hello, Before I get barraged with comments about this being a homework question it isn't. It is about helping me understand inertia. I am trying to understand how to chose which form of equation for the rod and which form of equation for the plate in the diagram attached. Am i right in...

Homework Statement The Attempt at a Solution So I know that I must have boundary conditions u(0,t) = 0 and ux(L,t) = 0. My textbook recommends reducing the given boundary conditions to homogeneous ones by subtracting the steady state solution. But, I thought these were already...

This is way outside my area. I have a 4" long 1/2" D. rod of 6/6 nylon, inside a mild steel tube. The application is all-weather. Length of rod travel is .70 to .75 inch. Light use, 20-50 actions per day. The application is an oddball latch release lever. Nylon was chosen because of cost...

Angular acceleration and Torque when rod reaches vertical position?? A rod (mass 1.30 kg, length .670 m) attached to a frictionless axis is released from rest in the horizontal position. What is the magnitude of the torque and angular acceleration when the rod has reached the vertical...

Homework Statement A brass rod's length is measured at 20.0 degrees C with a metre steel rule. The length of the rod is determined to be 0.5260 m. The measurement is repeated at 61.6 degrees C. Taking into account the expansion of the rule and rod, what is the new measured length in metres...

Homework Statement A conducting rod of length l moves with a constant speed v perpendicular to an infinately long, straight wire carrying a current I. What is the emf generated between the ends of the rod when it is a perpendicular distance r from the wire? Homework Equations no idea...