Rod Definition and 1000 Threads

Homework Statement Consider a thin rod of mass M and length L. Determine the gravitational potential at a point which is a distance r from the center of the rod and which lies on the midplane of the rod. Now suppose M is equal to the mass of the Earth and L is equal to the radius of the...

A rod initially held vertically is falling on a frictionless surface when given a slight push.I just want to how the rod would move.I am thinking that the rod as a whole will move forward and also rotate about the point on the ground. Why the rod is moving forward?(if you ask me) I think that...

Homework Statement A bead of mass m slides without friction on a rod that is made to rotate at a constant angular velocity ##\omega##. Neglect gravity. a. Show that ##r=r_0e^{\omega t}## is a possible motion of the bead, where ##r_0## is the initial distance of the bead from the pivot...

I'd like to understand how the double rod pendulum works and how it changes when a point mass is added to one of the rods. Especially I'd like to understand whether it's possible to match the two rods with the point mass so that the movement is stable under sinusoidal applied angular...

Homework Statement A rod of mass m and length l is held vertically on a smooth horizontal floor. If the rod begins to fall from this position, find the speed of its CM when it makes an angle ##\theta## with vertical.Homework Equations The Attempt at a Solution This is a solved problem in my...

For this problem, my thinking was that since the top of the rod is fixed, then the only part that is elongating is the bottom, so I found the part elongating at AB and said that was the total elongation. I am not sure if this reasoning is sound. I suppose the other possibility would be to add up...

The temperatures at ends \(x = 0\) and \(x = \ell\) of a rod length \(\ell\) with insulating sides held at temperatures \(T_1\) and \(T_2\) until steady-state conditions prevail. Then, at the instant \(t = 0\), the temperatures of the two ends are interchanged. Find the resultant temperature...

Hi, I have a problem which you guys probably could help me solve or at least advise how to approach. I am building a mechanical system that consists of 2 steel rods acting as rails and a platform that travels along. I need to find radius of curvature of a steel rod under stress to see by...

Homework Statement A bead of mass m slides under gravity on a smooth rod of length l which is inclined at a constant angle ##\alpha## to the downward vertical and made to rotate at angular velocity ##\omega## about a vertical axis. The displacement of the bead along the rod is r(t)...

1. Problem statement A thin rod of length 2L has charge Q uniformly distributed along its length. 1. Draw a graph of the charge density as a function of x from -L to L 2. Find the electric potential at point P a distance y away 3. Use the result in part 2 of the electric field at point...

Homework Statement A 100 kg man holds up a 1000 kg weight by holding on to a rope that is wrapped around a stationary horizontal rod whose other end is tied to the suspended weight. If the coefficient of static friction between the rope and rod is 0.5, what is the minimum number of times that...

Homework Statement A thin uniform rod is pivoted about its mid-point, with the lower end attached to a spring. See the figure. At equilibrium the rod is vertical. Show that on a (small) displacement from equilibrium the rod will oscillate with simple harmonic motion at a frequency: f =...

A picture speaks a thousand words. In this video, at 41 seconds: [URL="http://www.youtube.com/watch?v=FBZWZfbxeJw"] Eugene R transfers power to a pulley attached to a rod but only the pulley spins. I am in the process of fabricating a pulley system like this. My question is: How is this done?

Homework Statement Consider a hollow cylinder of radius 10 m., length 50 m., and charge 6 C., and a rod with radius 4 m., length 50 m., and charge -4 C. The rod is uniformly placed inside the center of the hollow cylinder. What is the electric field at radius = 15 m.?Homework Equations...

Problem Statement: As shown in the figure below, a uniform beam is supported by a cable at one end and the force of friction at the other end. The cable makes an angle of θ = 30°, the length of the beam is L = 1.50 m, the coefficient of static friction between the wall and the beam is μs =...

Hi, I'd like to write a program that "simulates" a rigid rod of length L moving in a potential field. The problem is in two dimensions. Friction is assumed to be negligible. The potential field and its gradient is known at every point of the two-dimensional domain. The "mass" of the rod...

1. Problem statement. 2. Known equations. E = k § dq/r^2 Lamda = Q/L 3. Attempt. I am having trouble figuring out the dq in this situation. I know that lamda = Q/L, and since those 2 are the variables that are changing I take the derivative of them so it looks like Lamda = dq/dL I...

So I am thinking about this problem, and what I don't understand is how at that point A, it is below the x-z plane, but it is not given how far below it is. If I knew, I could solve for the tension in the y-direction and set it equal to the weight. I must be able to use c and 8 in. to get me...

Homework Statement The figure shows a uniformly charged thin rod of length L that has total charge Q. Find an expression for the magnitude of the electrostatic force acting on an electron positioned on the axis of the rod at a distance d from the midpoint of the rod...

Homework Statement [Math. for Physicists, M. Stone Problem 1.4] Assume that a rod of length L is only slightly bent into the yz plane and lies close to the z axis, show that the elastic energy can be approximated as U[y]= \int_{0}^{L} \frac{1}{2}YI(y'')^2 dz Homework Equations It is...

Homework Statement A longitudinal standing wave can be created in a long, thin aluminum rod by stroking the rod with very dry fingers. This is often done as a physics demonstration, creating a high-pitched, very annoying whine. From a wave perspective, the standing wave is equivalent to a...

Homework Statement A solenoid with a large number of turns of wire is connected in series with an ammeter and a battery. An iron rod is moved towards the solenoid at constant speed. What will happen to the reading on the ammeter (A) as the rod moves closer to the solenoid, before...

Homework Statement A rod of mass M is lying on a flat frictionless surface. A small ball of mass m and velocity v collides with the rod in the center at the rod at right angle to the rod. The collision is elastic. Homework Equations a) Where is the axis of rotation for the rod...

Homework Statement A particle of mass m is free to slide on a thin rod. The rod rotates in a plane about one end at constant angular velocity ##\omega##. Show that the motion is given by ##r=Ae^{-\gamma t}+Be^{+\gamma t}##, where ##\gamma## is a constant which you must find and A and B are...

In this problem, the left wheel is connected via a slot and consequently I don't see how the wheel would undergo any motion at all until such time that the rod moves all the way to the edge of the slot because before this time, the joint can just undergo rotational motion to compensate for the...

√ωHomework Statement A uniform rod of mass 1.2 kg and length 1.2 m is pivoted in the horizontal position as shown (black point). The rod is at rest and then released. The acceleration due to gravity is g = 9.8 m/s2. Part 1. Find the rotational inertia of the rod relative to the axis...

I read that if a bar is pivoted at one end and is rotating in a horizontal plane, the tension at a specific point decreases as you go away from the pivoted end. Only inference I could draw from this is that the centrifugal force, which is the cause of tension, increses as you go towards the...

Homework Statement How should I find the time period of a pendulum which is made up of a rod of length l fitted with a bob of radius r at its one end and the other end being pivoted to the wall? 2. The attempt at a solution Actually having problem with calculating...

Homework Statement The position of the L-shaped rod shown is controlled by a cable attached at point B. Determine the angle, β, in terms of θ.The Attempt at a Solution From the FBD attached, I was able to get: β = tan-1(\frac{0.24sinθ - EF}{0.24cosθ+0.32}) How can I determine what EF is...

Homework Statement Three equal masses are attached to the ends and midpoint of a light uniform rod, which lies on a smooth horizontal plane. One of the end masses is struck by an impulsive force perpendicular to the direction of the rod. Find the ratios of velocities of the three masses...

If a metal rod of 20 cm is charged with 10 μC, then what should be its cross section area so as to prevent electric discharge (electric breakdown) ?

Homework Statement A particle of mass M moving on a frictionless surface with velocity ##V_0## collides totally inelastically with an uniform vertical rod of mass M and length L. After immediately the collision, what is the center-of-mass velocity, the moment of inertia about the...

Homework Statement From A.P. French, question 3-10. I'm having trouble decoding part b. /Do not solve/ please help me find what it is asking. ------- A metal rod, 0.5m long, has a rectangular cross section of 2mm2. (a) This question provided me with information to calculate young's modulus...

Hello, I am trying to understand induction. If I have a negatively charged rod, and two negatively charged conductors, does no induction occur? or is the induction simply the movement of the electrons from the more negatively charged conductor to the less negatively charged conductor? or does...

Homework Statement Consider a solenoid with a time varying current and with a coil of wire placed around it. Suppose there is a soft iron rod inside the solenoid. My question is: What happens to the (induced) current in the coil of wire as a result? Homework Equations Faraday, magnetic...

Homework Statement A point mass "m" moving at speed "v" strikes the end of a stationary uniform thin rod of length "l" and the same mass "m" at a right angle. The point mass does not stick to the rod; the collision is elastic. There are no pivot or anchor points. The system is floating freely...

Homework Statement A thin vertical rod of mass m and length d slides on a frictionless horizontal surface with velocity Vo to the right. It his and sticks to a small lump of putty and rotates about the putty at point O. (a) Find the angular momentum of the rod about O just before and just...

Hi to everybody Homework Statement I´ll show the problem with a picture: Homework Equations L\overline{x}=∫xc ρ dl The Attempt at a Solution Well the total length of the rod is 1 feet, I only need to calculate the integral. The moment xc of a differential element of mass of the rod is...

Homework Statement a 54.8 kg uniform square sign, 2.00 m on a side, is hung from a 3.00 m rod of negligible mass. A cable is attached to the end of the rod and to a point on the wall 4.00 m above the point where the rod is fixed to the wall. Homework Equations The Attempt at a...

if i have rod of a certain length. let point (a) on one end of the rod and point (b) on the other end. along the rod axially is the X axis, vertically Y axis and Z is the lateral direction.let force prependicular on x -axis at point (b) and move this force to point (a) which will create a...

Hi all, This is my first post on this forum. Please state out anything that I have done that does not coincide with the forums rules. Homework Statement I have to derive the force acting upon a uncooked spaghetti piece which is being pulled upon by a mass attached to its center for an...

Homework Statement A uniform rod of length 1.6 m and mass 20 kg is free to rotate about a frictionless pivot at one end in a vertical plane. The rod is released from rest in the horizontal position. The acceleration of gravity is 9.80 m/s2. Homework Equations What is the resultant...

Hello, I am looking to apply to heat equation to a cylindrical rod and solving with explicit finite difference scheme. I have never worked with cylindrical coordinates before, what would be the best way to model this? I am having a hard time understanding the advantage of using cylindrical...

Homework Statement A uniform, straight rod with mass M and length L can rotate about a horizontal axis A in a distance L/4 from the rods end. Vi can disregard friction. Gravity is 9.81 m/s^2. (drawing included at the bottom) 1) Find an expression for the moment of inertia of the rod at point...

Homework Statement Hey guys, Here is the question: A pointlike mass m can slide along a rigid rod of length l and negligible mass. One extremity of the rod is fixed at the origin O of an inertial system (x,y,z), and the rod forms a constant angle α with the z-axis. The rod rotates...

1. Homework Statement I am trying to determine the limitations to my experiment and thus how to improve them. The experiment's objective is to determine the mass of a metal rod. The rod is balanced every time another 1kg is added onto the end of the rod. This means that the rod cannot...

Help with "Balancing a metal rod" experiment. 1. Homework Statement I am trying to determine the limitations to my experiment and thus how to improve them. The experiment's objective is to determine the mass of a metal rod. The rod is balanced every time another 1kg is added onto the end...

Homework Statement A uniform rod moves in a vertical circle .Its ends are constrained to move on the track without friction.Find the angular frequency of small oscillation .Homework Equations The Attempt at a Solution Suppose the rod of length L moves in a circle of radius R . Let the...

Homework Statement A rod is 6 m long pivoted at a point 1.5 m from the left end. Two downward forces of magnitude 50 N and 200 N are exerted on the left and right end of the rod respectively. At what distance from the pivot point must a third upward force of magnitude 300 N be exerted...

Homework Statement Homework Equations The Attempt at a Solution Their answer assumes that the B-field is perpendicular to the velocity at all times, which is clearly not the case. And in the next part of the question, won't the answer be zero? since now velocity is parallel to B-field? (So...