Rod Definition and 1000 Threads

Homework Statement A thin rod of total length L has a nonuniform density given by λ(x)=ae^-bx where x is distance from one end of the rod. What is the moment of inertia of the rod for rotations around the end at x=0. Measuring from x=0 to x=L Homework Equations λ(x)=ae^-bx...

I am not sure whether this is the correct section to post in but here it goes... I am really confused as to why the textbook has a "d" in denominator and why their integral is different from mine...I used the integral in 2nd column 2nd row but the textbook is different :S I am not sure why...

Homework Statement one fourth length of a uniform rod of mass "m" and length "l" is placed on a rough horizontal surface and it is held stationary in horizontal position by means of a light thread. The thread is then burnt and the rod starts rotating about the edge. Find the angle between the...

Homework Statement Determine the equilibrium temperature distribution for a one-dimensional rod composed of two different materials in perfect thermal contact at x=1. For 0<x<1, there is one material (cp=1, K0=1) with a constant source (Q=1), whereas for the other 1<x<2 there are no sources...

Homework Statement An infinitely long, uniformly charged straight line has linear charge density λ1 coul/m. A straight rod of length 'b' lies in the plane of the straight line and perpendicular to it, with its enared end at distance 'a' from the line. The charge density on the rod varies with...

Homework Statement I am looking for the absolute value of the electric field at point A (see picture below) relative to the whole charged rod at the left side.Homework Equations -The Attempt at a Solution I am not quite sure whether my choice for R and the boundaries of the integral are...

Homework Statement A nonconducting rod of length L = 6.00 cm and uniform linear charge density λ = +2.28 pC/m. Take V = 0 at infinity. What is V at point P at distance d = 8.00 cm along the rod's perpendicular bisector? heres the diagram best I could show it: .P...

Homework Statement An infinite sheet of charge that has a surface charge density of 25.9 nC/ m2 lies in the yz plane, passes through the origin, and is at a potential of 1.32 kV at the point y = 0, z = 0. A long wire having a linear charge density of 81.1 nC/ m lies parallel to the y-axis...

I have now finished my lectures on classical mechanics, but I'm a bit ashamed to say that I still don't understand the concept of torque fully. Let's imagine this. We have a rod being acted on by the equal and opposite forces, but in different distances from the centre of rotation (attached...

Homework Statement a uniform stick with a mass of 1.00 kg and length of 1.00m has a fixed hinge at one end. It is released at an angel of 60 degrees above the horizontal and it drops with normal gravity. What is the magnitude of the linear acceleration of the point at the free end just after...

Homework Statement A metal alloy rod is submerged 15 cm below the surface of a fresh water pool by steel cables tied 10cm from each end. It has a length of 110 cm, a mass of 1.5 kg and a uniform square cross sectional area of 5 cm2. Because its density is not uniform, its center of mass is...

Homework Statement A uniformly charged rod of length L and total charge Q lies along the x-axis as shown. Find the components of the electric field at the point P on the y-axis a distance d from the origin. There's also a part b but I should be able to figure it out easily enough...

A steel rod of 0.10kg rests on two metal rails inclined at an angle of 30 degrees. There is a magnetic field of 0.50T on the incline and a current of 70A flowing across the bar. Find the acceleration of the bar. The bar is 0.12m wide** The attempt at a solution What I have so far is a diagram...

Hello, Just wanted to check my some of my reasoning to these. If anyone could confirm if these answer I got are right (or point me in the right direction if they aren't!) I'd really appreciate that. Thanks! 1. Homework Statement (No Relevant Equations, real, & Attempts at Solutions are...

1. A uniform rigid rod of length L and mass M is attached to a frictionless pivot point at one end. The rod is initially held completely horizontal and is released from rest. What is the linear and angular velocities at the instant the rod is in the vertical position?2. -ΔU = ΔK 3. -ΔU =...

I've always seen attempting to create my own models in physics as a fun and enriching pastime, even though my models should come out wrong :) This time i have attempted to model the torque in a non-massless rod affected by gravity. This expression is with the force of gravity acting...

Homework Statement A rod with one end fixed on a smooth hinge is shown below. The rod is released from horizontal position so that it rotates at the hinge. The mass of the rod is 800 gr and the length is 120 cm. Find: a. the initial angular acceleration (at A) b. the angular...

Not exactly homework, but this is a problem that a guy posed me.. and we seem to be getting different answers. I'm not entirely sure where either of us is going wrong. Homework Statement A uniform rod of mass M and length L lies on the x-axis, with its ends at x = 0 and x = L. A varying...

I was wondering about a scenario where we have a unit mass M1 and a thin rod of mass M2 of length L with a distance r between them attracting each other . Is my following approach to the problem correct ??! let s = r + L I know that F= -(GM1M2)/(s^2) where G is gravitation constant therefore...

1. I have a rod as pictured in the attachment. The rod is at a 45 degree angle. The load force is 115.118lbf The force is y-direction is 97.954lbf The Force at A is 5 inches from Force in the y-direction. The force at B is 10.5 inches from the Force in the y-direction I need to find...

I was doing some mechanics questions and it asked me to find the thrust in a rod supporting something else. I searched my book and it didn't say what "thurst" means, and all I've got on Wikipedia is about the thrust (force) gained by pushing air backwards, which doesn't seem related. Is it just...

hi , I am a student of mechanical engg. n I am doing internship in a crane manufacturing company , i was given a task of placing a bracket for monorail crane on a column . . the max. load for one bracket is 45567Newtons . i have to use bolts or through rods to mount this bracket on a column of...

0_______._________________L L/3 Suppose that there is a rod has length L. How can you calculate some part of its length from starting point (for example from 0 to L/3)?

Hi..all. I have replaced a connecting rod against a failed one (in a 10 piston Benz engine) which is 100 GM lesser than original one since the supplier has modified to Euro norms and old rod no more availble. Now after woking 100 odd hours, the engine failed. After dismantling the engine it was...

Homework Statement A uniform rod of mass M and length L rotates in horizontal plane about a fixed axis through its center and perpendicular to the rod. Two small rings, each with mass m are mounted so that they can slide along the rod. Rod rotates with the initial angular speed of ω...

I was thinking about a rod colliding with an external wall, if you will, and began thinking what would happen if the collision was elastic (not sure if that is correct in this context, but simply the energy of the rod is the same before and after the collision.) I assume if a particle was normal...

Homework Statement A uniform rod AB has a length l and a weight W0. End A is in contact with a rough wall, but it is not fixed. A massless cord connects end B and is fixed to the wall at point C. The rod AB is now horizontal and the angle formed between the cord and rod is θ as shown in the...

I wonder how it benefits anyone, except old testament punishment advocates, for the taxpayers to pay for room and board for Mr. Blagojevich for 14 years. What about sentencing him to work at a public shelter, or other public service job, at low wages, and be required to house and feed himself...

I don't need a solution to this problem, I just need some help understanding a part of it. Homework Statement The figure below shows a small mass, m, moving at an initial speed, v0 , colliding with a stick with length, L, and mass, M. Both the mass and the stick lie on top of a table. The...

Homework Statement The index of refraction of a glass rod is 1.48 at T=20°C and varies linearly with temperature, with a coefficient of 2.5 E -5 °C-1. The coefficient of linear expansion of the glass is 5 E -6 °C-1. At 20.0°C the length of the rod is 3.00 cm. A Michelson interferometer has...

Can anyone tell me what will happen to a length og a rod if it is measured in a running train and why?

It is desired to slip an aluminum ring over a steel bar. At 7.00° C the inside diameter of the ring is 4.000 cm and the diameter of the rod is 4.080 cm. (b) Find the temperature of the ring at which it fits over the bar. The bar remains at 7.00° C. ---- It is desired to slip an aluminum...

If anyone can give me some quick help on this, I would appreciate it. Thanks in advance.

Homework Statement a 12-lb collar is attached to a spring anchored at point C and can slide on a friction-less rod forming a 30 degree angle with the vertical. The spring has constant k and is unstretched when the collar is at A. Knowing that the collar is releasted from rest at A, develop...

Homework Statement Given that I have a system with a rod of diameter 1 1/2 inches with a length of 17 in and a weight of 10 1/3 oz and a rod with a diameter of 3 inches with a length of 17 in and a weight of 20 2/3 oz. The two rods are butted together at one end almost looking like a bottle...

A small 750 g ball on the end of a thin, light rod is rotated in a horizontal circle of radius 1.2 m. (a) Calculate the moment of inertia of the ball about the center of the circle. (b) Calculate the torque needed to keep the ball rotating at constant angular velocity if air resistance exerts...

Homework Statement The center of a long frictionless rod, pivoted at the origin, is forced to rotate at a constant angular velocity Ω in the horizontal xy-plane. Write down the equation of motion for a bead threaded on the rod, using the coordinates x and y where x is measured along the rod...

Homework Statement Assume all oscillators are frictionless. e) A uniform thin rod (Mass M, length Lo) oscillates vertically on a frictionless axis perpendicular to the rod and passing through one end with period To. Now, a second uniform rod is made of the same material and mounted the same...

Homework Statement At 19°C, a rod is exactly 20.01 cm long on a steel ruler. Both the rod and the ruler are placed in an oven at 219°C, where the rod now measures 20.18 cm on the same ruler. What is the coefficient of linear expansion for the material of which the rod is made? Homework...

Homework Statement A long, solid, copper rod has a circular cross-section of diameter 10.0 cm. The rod has a current of 5.0 A, uniformly distributed across its cross-section. Calculate the magnetic field strength at: a) the centre of the rod b) 2.5 cm from the centre c) 5.0 cm from the...

Homework Statement 'Figure 2 shows a uniform rod of length L= 0.2m and mass m=0.2kg pivoted at one end. The other end is attached to a horizontal spring with spring constant k =3.0 N/m. The spring is neither stretched nor compressed when the rod is perfectly vertical. You can also assume...

Hey, I've just been studying for my physics exam in a few days time and I'm trying to work out this problem, a)the proof was straight forward and I wrote that the field is uniform over the cylinder because of cylindrical symmetry and c) I think was ok F = q(vxB) so q|v||B| going up the page...

Hi all, Homework Statement My problem is a pretty basic one, in a exercise a rigid rod of mass M is rotating around a horizontal pivot point i one end. The rod has the length L. I now need to derive the equation of motion using the Lagrangian formalism. My question is: Can i view the...

Alright, this is my first experiment with this forum. Hopefully, I do this right! Homework Statement I'm going to give the problem in terms of variables, not the numbers I'm given, so that people can't give me a direct answer. A uniform thin rod of length (L)m and mass (M_R)kg can rotate...

Homework Statement An homogeneous rod is fixed to an extremity and is rotating around a vertical axis, doing an angle of theta with the vertical. (in the scheme I made I wrote alpha but it's theta! (θ)) If the length of the rod is L, show that the angular velocity needed to make it turn...

Hi. A metal rod is moving thru a homogeneous magnetic field, standing 90 degrees upon it and the movement direction. Supposedly there is a voltage between the two ends of the rod due to the moving. But why? The magnetic flux doesn't change! I know that the voltage is supposed to be W/Q =...

Homework Statement what is the down force on the connecting rod? i tinnk I've work most of it but I'm a bit unsure of what to do next? A train of mass 138800kg have 24 wheels (12 axles) V = 37.1 m/s U =0 s= 694 m F= 12.1KN R = 0.4 m r = 0.21 m Homework Equations V2 =...

Homework Statement A uniform 1.4-kg rod that is 0.60 m long is suspended at rest from the ceiling by two springs, one at each end. Both springs hang straight down from the ceiling. The springs have identical lengths when they are unstretched. Their spring constants are 59 N/m and 39 N/m. Find...

Lets say I have a brass rod of length L, and then a brass ball attached by a string so that both objects are the same length, the brass rod and the ball on a string have the same length. Now i will pull them back to the same point an let them oscillate like a pendulum. Why do they have...

Homework Statement Figure is attached. A thin copper bar of length = 14.0 cm is supported horizontally by two (nonmagnetic) contacts. The bar carries current I1 = 105 A in the -x direction, as shown in the figure below. At a distance h = 0.500 cm below one end of the bar, a long straight...