A rod is made of two sections joined end to end. The sections are identical, except that one is steel and the other is brass. While one end is held fixed, the other is pulled to result in a change in length of 1.20mm. By how much does the length of each section increase ?
I understand that E...
Homework Statement
A metal rod of length L at temperature of 0°C is not uniformly heated such that the temperature is given by the distance x along its length measured from one end when:
T(x) = T_0 \sin (\pi x/L)
Accordingly, points at x = 0 and x = L are also zero temperature, whereas at x...
Homework Statement
A 100 kg slender rod is lifted on the left end until the angle between the ground and the right end is 30 degrees. The right end is still in contact with the ground. The coefficient of friction between the rod and the ground is .5 and the length of the rod is 2.1 m...
Homework Statement
A rigid rod of length ##\ell## and mass ##m## has its lower end in contact with a frictionless horizontal floor. Initially, the rod is at an angle ##\alpha_o## to the upward vertical when it is released from rest. The subsequent motion takes place in a vertical plane...
Homework Statement
The conducting rod ab shown in the figure (Figure 1) makes contact with metal rails ca and db. The apparatus is in a uniform magnetic field 0.800 T, perpendicular to the plane of the figure.
If the resistance of the circuit abdc is 1.50 Ω (assumed to be constant), find...
Homework Statement
Uniform rod AB with end B resting against rough vertical wall. Coefficient of friction between wall and rod is μ.
Rod is 2m long and has mass 3kg.
Rod is kept in limiting equilibrium by a light inextensible string, one end of which is attached to the end A of the rod and...
Homework Statement
A thin rod of length L, mass m is suspended horizontally at rest. It is suddenly released and experiences immediately after an impulse vertically upwards at one end.
I need to find the maximum height reached by the centre of mass and the angular velocity of rotation about...
Homework Statement
I need to derive the moment of inertia of a thin rod with its axis of rotation at the end of the rod. http://en.wikipedia.org/wiki/List_of_moments_of_inertia
The third one.
Homework Equations
I = mr^2
The Attempt at a Solution
I completely understand how the...
Homework Statement
I'll provide a picture for clearer understanding. The problem is to calculate the angular momentum of the rod rotating about the z-axis. I have serious difficulties in deriving the inertia matrix, that's all I need help with.
Progress
Since the rod is...
Homework Statement
Homework Equations
v = wr
K_total = 1/2Mv^2 + 1/2Iw^2
L = Iw
p = mv
The Attempt at a Solution
a. No friction or other outside forces are acting on the system, so linear momentum is conserved.
The collision is elastic, so kinetic energy is conserved.
There...
I have never dealt with moment of inertia before, this is a physics lab i need to do some pre planning for which involves topics we have never covered and are expected to learn. I've been busy working two jobs and am struggling to get time to pick up this before my lab tomorrow so some help...
Homework Statement
Consider a thin 14 m rod pivoted at one end. A uniform density spherical object (whose mass is 9 kg and radius is 3.2 m) is attached to the free end of the rod and the moment of inertia of the rod about an end is Irod =1/3mL^2 and the moment of inertia of the sphere about its...
Homework Statement
The Attempt at a Solution
http://imgur.com/3ZfjPxM.png
So if you look at my attempt, I integrated the strain energy density function and at the end everything cancels out. Does anyone know what I did wrong?
Homework Statement
Homework Equations
The Attempt at a Solution
Angular momentum is the only parameter conserved. This is because there are no external torques acting on the system. Energy is not conserved because the collision is inelastic. Finally, linear momentum is not...
Homework Statement
A large 16.0 kg roll of paper with radius R=18.0 cm rests against the wall and is held in place by a bracket attached to a rod through the center of the roll. The rod turns without friction in the bracket, and the moment of inertia of the paper and rod about the axis is...
When a charged body is brought near one end of a rod, opposite charge is produced at the opposite end of the rod. This is written in my book.
Why is charge produced at only the opposite end?
How many steps of Bank D rod motion will be required to change power level from 5% to 18%? Assume that the full power Delta T from primary to secondary is 50 degrees F. Assume the moderator temperature coefficient is -5 pcm/degree F. Assume the Bank D rod worth is 5 pcm/step. Neglect fuel...
Homework Statement
Lets say you have some moment (given) at the end of a rod going clockwise. Do you have to factor this into the equations for forces? My professor has some notes written about it, but I don't know if he's incorrect.Homework Equations
The Attempt at a Solution
So if the moment...
I'm sort of stuck on a fiddly point at the moment. I'm trying to make a rod go upwards with ease but slow down on the way down (or even stop for a few seconds) when it has been completely let go by the pulling action (without any external energy). Anyone have any clues of how I can achieve this...
Homework Statement
This problem is very easy, but there is some conceptual point of view I am missing.
There is a vertical rod of length L without mass on its own that has two masses, m1 and m2, attached at each end standing on point P at a table. The rod is at unstable equilibrium at first...
The figure attached shows two masses held together by a thread on a rod that is rotating about its center with angular velocity w. If the thread breaks, the masses will slide out to the ends of the rod. How will that affect the rod's angular velocity. Will it increase, decrease, or remain...
Homework Statement
Picture a rod of length L with N turns of wire around it
What is the work done when one doubles the magnetization? We'll assume the coil has negligible resistance.
Homework Equations
\mathcal M is total magnetization of the rod.
M is magnetic moment
C_c is...
Homework Statement
A rod of length L and mass M is pivoted at the center C such that it can freely rotate in vertical plane.Initially the rod is at horizontal position.A blob of wax of mass M falls vertically with speed V and sticks to the rod midway between center and one end.If the rod...
This is essentially the problem.
And this is what I did.
Realizing the following:
E = -▽V
I simply took the derivative in regards to the vertical component, in this case "a".
So:
-dV/da [the above formulae]
And I got the following:
Κλl/(a sqrt(l^2+a^2))
Does that seem about right...
Problem statement:
Two 3/4-in.-diameter nylon rods are spliced together by gluing a 2-in. section of plastic pipe over the rod ends, as shown in the figure. If a tensile force of P = 500 lb is applied to the spliced nylon rod, what is the average shear stress in the glue going between the pipe...
Problem statement:
Two 3/4-in.-diameter nylon rods are spliced together by gluing a 2-in. section of plastic pipe over the rod ends, as shown in the figure. If a tensile force of P = 500 lb is applied to the spliced nylon rod, what is the average shear stress in the glue going between the pipe...
Hi all,
I'm trying to do something that might be impossible, but seems to me should have a solution: Finding the height (or displacement) of a long, thin rod or wire under horizontal compression forces at the ends (pinned, not clamped) causing it to bend into a stable arch-like shape given...
Homework Statement
Rod AB is placed against a block which is moving towards right with a speed of 1m/s. If at an instant when the rod makes an angle ##60^{\circ}## with the horizontal and end A is sliding towards left with a speed of 1m/s. Then the speed of the point of contact B of the rod is...
Homework Statement
Homework Equations
See above
The Attempt at a Solution
I messed with this for hours. I also searched all over the web and can't find anything that is similar. None of the problems I could find gave a value, they just gave lambda. Anyway, I have no idea what...
Hi Guys,
Your previous insights on the thread regarding gravitational rod shortening along the radial axis really helped me to have a naive but practical idea of what GR is about.
The next step in my thought process seems to be whether the EM force could induce rod shortening. The force...
Homework Statement
a rod of mass M and length L is supported by a smooth horizontal floor and leans against a smooth vertical wall, the mass density increases linearly with p=kr where r is the distance from the wall and k is a positive constant.
a.finf the moment of inertia of the rod with...
Homework Statement
Let me first add a picture of the experiment and than try to describe my problem:
So I have two rods (one with a square profile and the other one with a circle profile) and what I do is I apply some force in the middle. The rod bends under the applied pressure...
This isn't homework...I'm reviewing physics after many years of neglect.
Given 2 masses, m_1, m_2, connected by a rigid, massless rod, stationary with respect to a ramp which makes an angle of \theta with the horizontal, with coefficients of static friction between the masses and the ramp =...
Homework Statement
I am looking at an example problem in the text and they skipped some steps. I think I am missing somthing obvious but none-the-less I don't know what is going on.
We have a long copper rod o radius R which carries a uniformly distributed (free) current I. Find H, the...
Homework Statement
A thin rod of mass M and length L rests on a frictionless table and is struck L/4 from its CM by a clay ball of mass m moving at speed v. The ball sticks to the rod. Determine the translational and rotational motionHomework Equations
Irod=1/12 mr^2
Irod=1/3 mr^2
L=mrv=Iw...
Homework Statement
A uniform thin rod of weight W is supported horizontally by two bricks at its
ends. At t=0 one of these bricks is kicked out quickly. Calculate the force on the
other support immediately thereafter - it should be in terms of W.Homework Equations
T=IA F=ma W=mg I=mr^2/3...
Homework Statement
A thin, uniform bar, 2, long and weighing 90N is hanging vertically from the ceiling by a frictionless pivot. It is struck by a small 3kg ball, 1.5m below the ceiling, initially traveling horizontally at 10 m/s. The ball rebounds in the opposite direction with a speed of 6...
Hello,
I have not studied any physics or mechanics in a number of years so apologise in advance.
Part of my dissertation involves the manufacture of a test rig that will continually strike an implement just above the floor, at a known force.
The rig is comprised of a rod with a known...
A surprising find looking for something else:
http://www.physics.usyd.edu.au/~cross/
Somewhat extensive notes on various small-ball sports physics - including material on collision physics and a neat vid of a falling slinky.
I've mined:
Ball bounce for comparative data for experiments...
Homework Statement
Two points, each of charge Q, are fixed at either end of a frictionless rod of length 2R. Another point charge, of charge q (not Q) is free to move along the rod.
Show that if charge q is displaced a small distance x (0<x<<R) from the centre of the rod, it will undergo...
1. Homework Statement
This is my first time posting on Physics Forums. I would appreciate your help with a question I'm doing in preparation for the CAP university prize exam in February. The following question is from the 1996 CAP exam.
Rod attached by frictionless pin to vertical...
Homework Statement
A rod of mass M and length l rotates in a vertical plane about its centre which is on a frictionless, horizontal pivot. On the ends of the rod are point-like masses m1 and m2, where m1 != m2.
a)moment of inerta about the center of the rod
b)Determine the angular momentum...
Homework Statement
a uniform rod of mass m and length L is free to rotate in the vertical plane about a horizontal axis passing through its end. the rod is released from rest in the position shown by slightly displacing it clockwise. Find the hinge reaction at the axis of rotation at the...
Hi everyone,
Is this something that I can use to link a motor to a threaded rod (so when the motor turns, the threaded rod turns as well)?
also, about how much torque will i be needing to slowly rotate a 1 foot steel threaded rod?
Thanks
Hi guys. I have one problem from competition that I can't solve. I'll try to translate it.
"rod of mass m and length l is lying on a ball of radius R in state of equilibrium. The rod makes angle θ with the horizontal. There is friction in every point of contact, and it's assumed that it is...
1. Here is the problem http://i.imgur.com/DeCXHNE.png
2. F=-cos45-sin45μ+(weight*μ*cos45)/.5-cos45
3. I plugged the numbers in the equation which we got by combining other equations for F, and I got 9.96 and it isn't accepting it. My other friends used this equation with their problems and they...
A 0.18m long metal rod is places on some metal rollers in a megnetic field directed into the page. When the rod is moved left with a speed of 1.6ms-1, a current of 0.034 A is measured through the 25Ω resistor.
How would I calculate the voltage when I'm not given the magnetic field strength? V=BvL
Homework Statement
There is pulley which has a mass hanging from one side, and a rotating rod attached horizontally to the other (both by cables). The pulley has mass; Mp = 9.5kg and radius; Rp =0.2m. The block(A) has mass; Ma=10.9kg. The rod is L = 0.8m long and has mass=Ml7.9kg. The rod is...