Rod Definition and 1000 Threads

I roughly understand that when we hit a metal rod right into the end will excite longitudinal vibration in the metal rod, and the place we hold will be a node. the position i hold will kind of determine the frequecy of the ringing sound produced. Is that right? But what will happen if we hit...

Two charges, q1=q2=q>0, are held apart by a dielectric rod of length L. Everything is at rest in the xy-plane of IRF K, with x1=y1=0 and x2=L cos(theta), y2=L sin(theta), 0<theta<pi/2. Viewed from frame K’, moving in the positive x-direction of K at speed v, the Lorentz forces on the two...

This question has been giving my brain some trouble. I think i have the Electric Field integral calculated correctly (but I'll post that up here too just in case I'm wrong which is likely) but when I get down to finding the charge on the rod I literally am making a wild guess at the solution...

Hi, In my book, they use an example to explain motional emf. The example consists of a rectangular circuit with a resistor on the left side and a moving bar on the right side. There already exists a magnetic field pointing into the paper and the bar is given an initial velocity to the...

A uniform rod of length L rests on a frictionless horizontal surface. The rod pivots about a fixed frictionless axis at one end. The rod is initially at rest. A bullet traveling parallel to the horizontal surface and perpendicular to the rod with speed v strikes the rod at its center and becomes...

A thin rod of uniform mass M and length L is attached to a string at one end to the ceiling and a pin at the other end to the wall. The rope (connecting the ceiling and the horizontal rod) is cut at t = 0 s. 1) What is the force of the pin at t = 0 seconds? 2) When the rod swings...

Homework Statement There is a nonconducting rod of negligible thickness located along the x axis; its ends have coordinates x = 0 and x = L. It has a positive, nonuniform, linear charge density (lambda) = (alpha)x; alpha is constant. An infinite distance away, th eelectric potential is zero...

1. The Problem: (Collision with a thin rod -- pinned and unpinned) A small object with mass n and an initial velocity of v sticks to a long thin rod of mass m and length l. The motion takes place on a horizontal frictionless surface. Answer the questions for the situation where a) the rod...

Homework Statement A horizontal bar of mass 3.0 kg and length 1.0 m is free to rotate about a vertical axis through its center. A clay blob of mass 1.0 kg traveling at a velocity of 2.0 m/s in the direction shown collides with the end of the bar and sticks to it. Find the magnitude of the...

Homework Statement A steel rod 4.00 cm in diameter is heated so that its temperature increases by 70.0 C. it is then fastened between tow rigid supports. The rod is allowed to cool to its original temperature. Assuming that Young's modulus for the steel is 20.6 * 10^10 N/m^2 and that its...

I am working on a senior design project, and we need to calculae the torque needed by a DC motor to turn a threader rod. Any ideas as to how to calculate the torque needed to turn a rod? .75" Diam., 1ft length, will be lifted/lowered up and down at 90° to level ground. I know I'm new, but any...

Homework Statement Attached to each end of a thin steel rod of length 1.00 m and mass 6.80 kg is a small ball of mass 1.15 kg. The rod is constrained to rotate in a horizontal plane about a vertical axis through its midpoint. At a certain instant, it is rotating at 43.0 rev/s. Because of...

Homework Statement Christy has a grandfather clock with a pendulum that is 1.070 m long. (a) If the pendulum is modeled as a simple pendulum, what would be the period? Already solved (b) Christy observes the actual period of the clock, and finds that it is 1.20% faster than that for a...

Homework Statement A rod with length L and section A has its extremities in contact with 2 springs of heat whose temperatures are T_A and T_B such that T_A>T_B. The rod is an environment where the temperature is worth T_0 (constantly). a)Determine the function T(x) that describes the...

1. Homework Statement two people are holding the ends of a rod length l and mass M, show that if one person let's go the initial acceleration of the free end is 3g/2 3. The Attempt at a Solution i worked out the moment of inertia about centre mass (cm) and got = Ml2/12 because L=Iw...

Homework Statement two people are holding the ends of a rod length l and mass M, show that if one person let's go the initial acceleration of the free end is 3g/2 The Attempt at a Solution i worked out the moment of inertia about centre mass (cm) and got = Ml2/12 because L=Iw...

Homework Statement A copper rod of 2 meters is joined to a steel rod with length (ls) and with cross sectional area of 1.0cm2 and 2.0cm2 respectively the compound rod is subjected to an equal and opposite force of 3x104N. Find: a) The length of the steel rod if the elongation of the steel...

Homework Statement the ball has a mass M and is fixed to a rod having a negligible mass and length L. If it's released from rest when theta=0, determine the angle theta at which the compression force in the rod becomes zero. Homework Equations A(tangent) = dv/dt = vdv/ds A (normal) =...

Homework Statement A rod suspended on its end and acting as a physical pendulum swings with a period of 2.24 s. What is its length? (g = 9.80 m/s2) Homework Equations T=2(pi) * (sqrt)(L/G)The Attempt at a Solution Okay, so I'm given the period, which is 2.24 seconds. I'm also given G, as it's...

A 2.0 kg, 1.0 m long rigistic plastic rod is spinning about its center of mas at 2.1 rad/s. What is the magnitude of torque that will bring the rod to a halt in 5.0 s? A.) 0.07 N*m B.) 0.13 N*m C.) 0.21 N*m If you could help me set up the proper equation to use, I would greatly...

i am trying to make a piece of stainless steel of varying thickness bend in such a way that it creates a cam profile in much the same way a fishing rod works. for example if the thick end has a 5mm by 10mm cross section and the thin end is 1mm by 10mm crosssection and the change in thickness...

Homework Statement A bead of mass m and charge q is placed on a frictionless, rigid rod that is spun about at one end at a constant rate w on the xy plane. There is a constant magnetic field in space B = B_0\hat{z} Homework Equations Write the Lagrangian for the system, use the generalized...

Homework Statement A uniform rod of mass 2.90×10^−2 kg and length 0.410m rotates in a horizontal plane about a fixed axis through its center and perpendicular to the rod. Two small rings, each with mass 0.160 kg, are mounted so that they can slide along the rod. They are initially held by...

Please help, URGENT Hi guys, Sorry if I’m posting In the wrong place, I’m a newiee:D I have a problem (seriously, it is not homework), no equations, no numbers, just a mechanical question. I’m trying to break a rod for instance (The rod has the same diameter althrough except for one point...

Homework Statement A small 0.160 kg sphere is suspended by a light string from a vertical post mounted at the edge of a merry-go-round of radius R = 0.440 m. The equilibrium position of the sphere is shown in the figure, with a = 0.430 m and b = 0.760 m. The axis of rotation is indicated by...

Homework Statement The rod is at rest and is released, what is the angular acceleration immediately after release? The pivot is frictionless, gravity is 9.8 m/s^2. Homework Equations Icm = (1/12)ML^2 => Inertia at center of mass, this was given in the problem, i don't think it's necessary...

Homework Statement Consider a solid glass rod of length 75cm and diameter 1.5cm with n=1.46. Light enters the center of the end of the rod from the air. What is the maximum angle of incidence for which the light is totally reflected inside the rod? Homework Equations n1 sin (A1) = n2...

Hello friends, I have done some research on the Internet about producing standing waves in a metal rod, and how the various harmonics frequencies are being derived. I have two questions that i wish to discuss here: 1. Is the pattern of standing waves and method of formula derivation the...

Homework Statement Hi all. I've got a vertical rod on a surface with a fixed and frictionless pivot at bottom end. The rod of length L is released and begins to fall. The forces acting on the CM of the rod should be: - weight force: mg - centripetal (radial) force...

Homework Statement i have a rod of 35 cm and a current of 10 A. the rod is a paramagnetic aluminum rod. how do i find the magnetic field inside the rod? Homework Equations the fact that the rod is paramagnetic changes anything? The Attempt at a Solution

I understand the fact that a solid rod is stronger than a hollow rod given the same diameter. My question is whether this fact takes into account the weight of the rod itself. Imagine two 20 foot long 1/2" diameter steel rods- one is solid and the other is hollow. Support these two rods at...

hi, here's the question: a rod in the xy plane has it's ends at (0,0) and (L,0). It has a uniform charge per unit length (lambda). Find the electric field on the x-axis for 0 < x < L. solution attempt: dEx = dE = kdQ/r^2 dQ = lambda*ds = (Q/L)*dx now i took my r = (L - a -...

I have a door lever which has a 90 deg. bend. I need to calculate the length that this lever would have to be if it were in the form of a straight rod, prior to being bent. I know I have all the input data, I'm just not sure how to express this algebraically. For example, I know that the...

1. A straight rod has one end at the origin and the other end at the point (L,0) and a linear density given by \lambda=ax^2, where a is a known constant and x is the x coordinate. Since this wire is not uniform, you will have to use integrtation to solve this part. Use M=\int_0^L dm to find the...

Homework Statement The thin uniform rod in Fig. 10-52 has length 4.0 m and can pivot about a horizontal, frictionless pin through one end. It is released from rest at angle θ = 40° above the horizontal. Use the principle of conservation of energy to determine the angular speed of the rod as...

Homework Statement An electromagnetic rail gun can fire a projectile using a magnetic field and an electric current. Consider two parallel conducting rails, separated by 0.530 m, which run north and south. A 49.0 g conducting rod is placed across the tracks and a battery is connected between...

Hi I have a question. Does the worth of control rod in a typical reactor is dependent upon power of reactor? Thank you in advance

Homework Statement A thin uniform rod has mass M = 0.31 kg and length L= 0.45 m. It has a pivot at one end and is at rest on a compressed spring as shown in (A). The rod is released from an angle θ1= 57o, and moves through its horizontal position at (B) and up to (C) where it stops with θ2 =...

Homework Statement A rod of length 30.0 cm has linear density (mass-per-length) given by λ = 50.0 g/m + 20.0x g/m2 where x is the distance from one end, measured in meters. (a) What is the mass of the rod? (b) How far from the x = 0 end is the center of mass? Homework...

Homework Statement A thin insulating rod of length L is placed such that its end point is distance R away from a semi-infinite insulating line. The line has linear charge density \lambda. The rod has charge Q. Both are distributed uniformly. What is the force exerted on the rod? Define Q_o...

Homework Statement The speed of sound in a metal rod is 3600 m s -1. The rod is 1.20m long and clamped at one of its ends. (a) Determine the frequency of its vibration if longitudinal waves are established in the rod and it is vibrating in its first overtone mode. (d) Determine the...

Homework Statement I was just wondering if I had done this problem correctly Take the rod axis to be the x-axis and the lefthand end of the rod to be x = 0. Assume lambda is not constant but that lambda = μx where μ is a constant. What are the units of μ? Find the force Vector F on the...

Homework Statement A uniformly charged rod is places along the x-axis from x=0 to x= L. carefully set up, but do not solve the proper integral to determine the x component of the electric field at the point (L,a) Homework Equations E=u \int \frac{dq}{(r^2)} for a line dq=λdl The Attempt at...

Homework Statement Homework Equations V=kq/r The Attempt at a Solution V=kQ/r dV=kdQ/r dQ=\lambda d\theta <---This is where I'll make a mistake if any. dV=k(\lambda d\Theta) /r V=\frac{k\lambda}{r}\int_0^{\phi}d\Theta \phi=2\pi/3 \lambda=Q/L= Q/(2\pi/3)...

Homework Statement Here is a pretty straight forward question, i just wanted to double check my answers (in bold!) This problem explores the behavior of charge on conductors. We take as an example a long conducting rod suspended by insulating strings. Assume that the rod is initially...

Homework Statement I tried to derive the electric field of an infinite (non conductor and conductor, I believe it is the same) charged rod. Homework Equations \oint \vec E d \vec A = \frac{Q_{\text {enclosed}}}{\varepsilon _0}.The Attempt at a Solution I could do all, except at the end...

Homework Statement This is one of those problems with a U-Shaped Conductor, but this time it is at an angle and the Earth's Magnetic Field is perpindicular to the plane of it. The rails are 10m apart and the conducting rod weights 10 kg. No friction on the ramps, and the only resistance...

Homework Statement (b) Fig. Q.5 shows a light rod pivoted at its centre. There are concentrated masses of 0.6 kg located at each end, 0.3 m from the centre of rotation The rod is rotated by a falling mass suspended from a cord wrapped around the centre spindle of diameter...

Hi @ all, I absolutely love thunderstorms & lightning and I'm used to go out on my balcony to watch them. Our (11-storey) house is equipped with a lightning rod, which, as I noticed today, is attached to the metal railing of my balcony (on the 5th floor). My question now is: What happens...

http://img197.imageshack.us/img197/2942/assgn3q1.jpg I took a good crack at this question, could somebody please check? a) I thought the shell could be modeled as a conductor with a hole in it, as there is no electric flux inside a hole of a conductor and the charge of the shell is on...