Homework Statement
Derive the Heat Equation for a rod in the shape of a frustum. Assume the specific heat c and density p are all constant. Use the "exact" method (through an integral) to derive the heat equation. Also, there is no heat source in the rod.
Homework Equations
The...
Homework Statement
A copper rod 90cm long is used to poke a fire. The hot end of the rod is maintained at 103 degrees Celsius and the cool end has a constant temperature of 25C. What is the temperature of the rod 24cm from the cool end?
specific heat of copper: c = 387 J/kg*K
thermal...
Homework Statement
Consider a long resistive rod, exhibiting resistance R, of length l and radius r. Calculate the magnitude and direction of the Poynting vector (neglecting edge effects) and relate the rate of energy transfer between the rod and its exterior to the total power dissipated in...
Homework Statement
A straight rod moves along parallel conducting rails, as shown below. The rails are connected at the left side through a resistor so
that the rod and rails form a closed rectangular loop. A uniform field perpendicular to the
movement of the rod exists throughout the...
Homework Statement
I am asked to find the angular velocity of a falling rod in the instant that the rod meets the horizontal. The system is set up in this image:
The only force acting on the rod is gravity
Homework Equations
U = (1/2)MgL
K = (1/2)Iw2
Kf + Uf = Ki + Ui
The...
A steel rod like the one shown in the attached picture is fixed from one side and increasing amount of torsion is applied on the other side. Eventually, the rod breaks. Now it will obviously break from one of the two chamfered locations, where the middle portion of the rod with the smaller...
hi
i have a question concerning free energy
in the attached file you can see 3 rods.
think of them as 3 parallel forces, that attract each other by a force F.
the force is some arbitrary force of the form: F=a/r^6 where a is a real parameter
now imagine that caused by fluctuations(e.g...
[b]1. A 2.0 kg uniform, horizontal rod is 1 m in length. What is the gravitational torque about the point A that is 25 cm from the left end of the rod.
[b]2. T=Fr
F=mg
T=mgr
[b]3. The center of gravity of the rod is directy at its center, so is therefore 25 cm from the...
Homework Statement The radius of a rod is 0.146 cm, the length
of aluminum part is 1.2 m and of the copper
part is 2.76 m. The rods are connected. Determine the elongation of the rod if it is
under a tension of 3140 N. Young’s modulus
for aluminum is 7 × 1010 Pa and for copper
1.1 × 1011 Pa...
Anybody know , where can I read some paper about problem which is known by: quantum rod, tipping rod, balancing pencil, quantum pencil. Thanks in advanced.
Homework Statement
Homework Equations
Since we are looking for force, this equation is what I thought we would use : F = qv X B
I need to find B, so I am guessing amperes law will be used
∫ B.dr
The Attempt at a Solution
If the sliding rod has motion, we can say F =...
Homework Statement
A 7.1 kg rod of 1.00 m in length is hinged to a vertical wall and supported by a thin wire. The wire and rod each make angles of 45° with the vertical. When a 10.0 kg block is suspended from the midpoint of the rod, the tension T in the supporting wire is 59 N. If the wire...
Homework Statement
A conducting rod slides down between two frictionless vertical copper tracks at a constant speed of 4.5 m/s perpendicular to a 0.56-T magnetic field. The resistance of the rod and tracks is negligible. The rod maintains electrical contact with the tracks at all times and...
Homework Statement
Consider a long resistive rod exhibiting resistance R of length l and radius r. Calculate the magnitude and direction of the poynting vector (neglecting edge effects) and relate the rate of energy transfoer between the rod and its exterior to the total power dissipated in...
Homework Statement
Three balls are attached to a rod. Ball one has mass 0.614 kg and is 14.0 cm from the pivot. Ball two has mass 0.634 kg and is 25.0 cm from the pivot. Ball three has mass 0.729 kg and is 35.0 cm from the pivot. The rod has length 86.0 cm and mass 0.486 kg. Calculate the...
Homework Statement
An electric dipole consists of 1.0 g spheres charged to +(-) 2.0 nC at the ends of a 10-cm-long massless rod. The dipole rotates on a frictionless pivot at it's center. The dipole is held perpendicular to a uniform electric field with field strength 1000 V/m, then released...
Homework Statement
The pendulum with a light rigid rod l has a mass m attached to it's end. It is put in a horizontal position and released from rest. At what angle grom the vertical will the tension in the suspension equal to the weight in magnitude?
Homework Equations
The Attempt...
Homework Statement
Hi all :biggrin:
The Attempt at a Solution
This was a solution to my problem i found on internet ...
I found w2 correctly like in solution ... but then when i thought that that net force will be force due to rod (F) - mg cos37 ... along rod ...
and mg sin37 perpendicular...
Here we have got a very long rod (100 million km length or so) built/placed on the lunar surface (near equator) and directed towards the Sun (imagine that Moon is in synchronous rotation with Sun and therefore that point (where this rod is built) is always looking at the Sun). The distance...
Could anyone who actually works on this kind of thing answer a couple of questions about the current situation in Japans nuclear crisis :
Is it true that cooling pools for spent fuel rods are stored on the rooves of these reactors ? If so we see two of these rooves have been blown off - so...
Hello.
I know that control rods in reactors work by absorbing neutrons that would otherwise be used to collide with say, Uranium, to cause fission. But here is the part I do not understand:
As far as I understand, a Uranium atom fissions because it absorbs a neutron causing it to become...
Homework Statement
A slender rod shown in the figure has a mass m and length l and is released from rest when theta=0 degrees. The horizontal and vertical components of force which the pin at A exerts on the rod at the instant shown in the figure is ?
The Attempt at a Solution
I have some...
Hello i am having trouble understanding what would be the angular and linear velocity of the center of mass of a rod that falls of a step and hits the ground and continues rolling. I know that mechanical energy is not conserved after the rod hits the ground, as that would be an inelastic...
Homework Statement
a) Calculate the electrostatic force on an uniformly charged rod of length 2L and charge q, which lies along the axis of an uniformly charged ring of radius R and charge q'. The centers of the charged rod and the rings are displaced at a distance z= z0.
b)Show that if z0 >>...
Homework Statement
Hello, the problem i have with finding the potential is the integration limits. Assuming both the rod and point lies on the x axis. When i integrate the sum of many slices of rod, ill get 2 answers(negative and positive) depending on the limits i use.
Example i ended up...
Homework Statement
Find an expression for the electric potential a distance z away from the center of a thin uniformly charged rod of length L on a line that bisects the rod.
Homework Equations
V=k\frac{Q}{r}
The Attempt at a Solution
Determine the electric potential due to one...
Hi everyone, I recently started studying heat conduction using differential equations and this has been stumping me for a while.
I am having trouble understanding what type of heat conduction problem this is.
We are given a 100cm long copper rod with ends maintained at 0 C. The center of the...
a steel rod, 40mm in diameter and 1.00m long, is pinned at each end
i) calculate the euler buckling for the rod
ii) identify three other possible end fixity conditions for the rod and demonstrate how euler buckling load would be affected in each case
iii) explain the relation between the...
Homework Statement
A thin rod has mass M and length L. What is the moment of inertia tensor about the center of mass if placed along the x axis.
Homework Equations
I would write the inertia tensor in component notation, but I don't know how to use Latex.
The Attempt at a Solution...
The A-36 steel rod is subjected to the loading shown.
If the cross-sectional area of the rod is 50 mm^2, determine the displacement of C.
Neglect the size of the couplings at B, C, and D.
Please help, I don't have any idea how to begin. I can't seem to sum the forces right.
Electric charge is distributed uniformly along a thin rod of length a, with total charge Q. Take the potential to be zero at infinity. Find the potential at the following points: P is distance x from (0,0) which is the right side of the rod.
Find the potential at the point P, a distance to...
Homework Statement
A copper rod of mass 0.6 kg rests on two rails 1.3 m apart and carries a current of 31 A from one rail to the other. The coefficient of static friction is 0.3. What is the magnitude of the least magnetic field that would cause the bar to slide?
Homework Equations
F=...
Charge Q is distributed uniformly over a thin rod...
Homework Statement
Charge Q is distributed uniformly over a thin rod of
lying along the x-axis between points (a,0) and (b,0)
as shown. Please answer each of the following
questions.
a) What is the linear charge density on the...
Imagine the skyscraper and the very long rod placed on its top that rotates from horizontal position to upwards.
http://img109.imageshack.us/img109/4817/fhfn.png
I would like to know how is it possible to calculate/ascertain the maximal length and minimal width of the rod made of some...
Homework Statement
A small ball with mass 1.70 kg is mounted on one end of a rod 0.750 m long and of negligible mass. The system rotates in a horizontal circle about the other end of the rod at 5030 rev/min.
(a) Calculate the rotational inertia of the system about the axis of rotation...
Homework Statement
Right, this is from Halliday & Resnick, ch. 28 p45
/.../
A 1kg copper rod rests on two horizontal rails 1m apart and carries a current of 50A from one rail to the other. The coefficient of static friction between the rod and rails is 0.6
What are the a) magnitude and b)...
Homework Statement
Sorry, I don't have a picture, so I can only relate this in words, so I have to indirectly translate it to drawing:
So you have a 0.15 m rod titled at a 45 degree angle above a horizontal , like this: \
Now rotate it some distance away from a vertical axis. The bottom of...
A lead rod and a common glass rod both have the same length when at 21.0° C. The lead rod is heated to 50.0° C. To what temperature must the glass rod be heated so that they are again at the same length?
I did this:
L = a*L0*T
a (thermal expansion) of lead = (29e-6)
a (thermal expansion) of...
I was under the assumption that the electric field for an arbitrary length of wire was 2\lambda/r.
In this problem
A thin rod extends along the z-axis from z = -d to z = d. The rod carries a charge
uniformly distributed along its length with linear charge density lamda. By integrating over...
Hello All,
One of my science teachers puts a glass rod in his coffee, but he won't tell us why... I was wondering if there was a physic/chemistry related explanation to this.
He said that the effect did not occur before when he didn't put it in. Adding the glass rod ''solved the...
Homework Statement
A steel rod having a cross-sectional area of 0.005 m^2and length 3 m is attached to supports at both ends. Find (a) the force exerted by the rod on the supports if the temperature falls 60ºC and the supports are unyielding, and (b) the force exerted by the rod on the...
Homework Statement
Calculate the tensile stress in a rod 40 mm in diameter with a load 200 KN ?
Homework Equations
pi*r^2
The Attempt at a Solution
3.14 * (20*20) = 1256 mm^2
200 * 1000 = 200 000 N
200 000 / 1256 = 159.24 N/mm^2
Tensile stress = 159.24 N/mm^2...
hi..
I am new to this site.
I want to know about reasons of failure of connecting rod of 4 stroke petrol engine. In this case the rod has broken into two parts from the small end of the rod. The manufacturing root of the component is hot forging - hardening - induction softening of the small...
Hello >:D
Homework Statement
<Q>A rod of length L is pivoted at one end and is rotated with a uniform angular velocity in a horizontal plane. Let T1 and T2 be the tensions at the points L/4 and 3L/4 away from the pivoted ends respectively.
<a> T1>T2 <b> T1<T2 <c> T1=T2 <d> The relation...
Homework Statement
An upright standing rod of mass m and length 2l receives a small push at the top and falls.
The floor is smooth. the height of the center of mass at any given time is h, according to the drawing.
Show that the velocity of it's center of mass is...
Hi guys!
I bought a portable immersion water heater, it posses a hook on the heating element & on it i found a ground symbol. For heating purpose heating element is enough why the hook is given. This may look lil bit silly but i just want to know abt.
if i take a thin glass rod sealed at one end fill some gas at 1 atm in it and then add 760mm mercury and invert the rod then will the mercury not fall?
also will the pressure of the gas change?
i do not see any reason for this to happen! :(
Thanks in advance!
Homework Statement
A force is rotating the rod of mass m and length l round it's endpoint, according to drawing.
The force rotates either, so as to simplify the problem.
What force, apart from the one opposed to the centrifugal force, acts at the bearing?
Homework Equations
M=I\alpha...