Hi Guys,
Is there a simple formula (like lorentz equations for SR) for rod shortening ALONG THE RADIAL (geodesic) that depends on gravitational potential. I realize that this is a theoretical case without rotation of the mass etc. If possible this formula should apply to a point of reference on...
we have a truck in our game we have a rod against the wall of that truck, and we know the acceleration of truck when the rod start slipping... we just want to know what is acceleration and of rod when it start slipping.
Homework Statement
I am trying to get an equation of motion for the following (seemingly simple) setup. You place on a rod on a pivot. The rod's centre of mass is precisely over the pivot. Think of balancing a ruler horizontally on your finger. Gravity, of course acts downward.
The...
Hi, I am an amtuer engine builder working on offroad race motorcycles. On the Honda Crf450 engines I have been working on, I have been having a large number off con rods failing in numerous ways.
I have had the the con rod snap right below the piston with no sign of bearing failure. I've...
Experiment 1:
I have a steel rod . I heat the rod to temperature T. As the rod heats up, it expands to length L. This makes me happy.
I let the rod cool down and contract back to its original temperature and dimensions.
Experiment 2:
Now I place a heavy rock on top of the rod, and heat...
Hi all,
I have this question from my friends and hope get the answer.
Using your car with the oil is not sufficient, the connecting rod is the first to fail. Normally it burns both bearings or the smaller one (connecting to piston) burns first?
I think there's a dilemma here: the bigger one...
Is there a practical utility to derive the electric field produced by a charged rod (and the 1/r dependence at great distance)? I know it can be useful to derive the electric field produced by a large plate since you can then show that the field between close parallel plates that are oppositely...
Homework Statement
A metal rod with a 0.5 inch diameter is subjected to a 2000 lb tensile load. Calculate the resulting diameter of the rod after loading. Assume that the modulus of elasticity is 10,000,000 psi, Poisson's ratio is 0.33, and the yield strength is 21,000 psi.
Homework...
This is new thread on an issue that was that getting slightly off topic in the original thread.
Let's consider a slight variation of the Ehrenfest experiment. The fairly rigid carriages are all linked together by elastic couplings and are on a suitably highly banked track. As the...
If i have a rod of length L at rest . And there is a hole up ahead that is L/2 and I move the rod at a velocity which will contract it to half its rest length. Will the rod fall into the grate?
Well I think that from the rods point of view its still its rest length and it would appear...
Homework Statement
What is: Moment of inertia of two solid spheres, radii each r[0], attached by massless rod which is also of length r[0], so that the distance between the two solid spheres' centres is "3*r[0]"?
The axis of rotation could either be 1) through both spheres and along the...
[EM] Scattering by a rod
Hello everyone :)
I'm interrested by the diffusion of an electromagnetic field by a rod with rectangular section i.e. a parallelepiped with one infinite dimension.
Does anyone know if that's already been done ? If it is even possible analytically ?
Thanks in...
physical pendulum--thin rod
Why do you have to divide the length L by 2 in these cases? The explanation that's provided in my book says "the distance L between the pivot and the center of gravity is .5 the length L."
This makes no sense whatsoever. The length should be the same regardless of...
Homework Statement
A rod of length L and mass M is pivoted about one end. The rod is released from rest in a horizontal position, and allowed to swing downward without friction or air resistance. When the rod is vertical, what is its angular speed w?
Homework Equations
Moment of Inertia...
There is this conducting rod being moved to the right a constant speed v by a mechanical force F along 2 parallel , smooth, and horizontal conductors in a uniform vertical magnetic field of flux density B.
The question is why is the speed constant although its being moved by a force ,F...
This isn't any kind of homework question. It's a design problem for a mechanical device I'm building.
Two surfaces at right angles to each other, e.g. the corner of a room. If I place a rod across the corner with a wheel on each end and push one end (A) towards the corner (B), the other end...
Homework Statement
A uniform rod of length 0.750 m and mass 1.20 kg is pivoted at one end by a smooth pin as shown below. The rod is released from the vertical position and given a slight nudge to release it from the vertical position of unstable equilibrium...
Homework Statement
Hello everyone I am studying for my finals and this question has me stumped.
The ends of a cylindrical steel rod are maintained at two different temperatures. The rod conducts heat from one end to the other at a rate of 10 cal/s. At what rate would a steel rod twice as...
[b]1. The collar P slides outward at a constant
relative speed u along rod AB, which rotates
counterclockwise with a constant angular
velocity of 2π/3 rad/s. Knowing that r=10 in
when θ=0° and that the collar reaches B when
θ=90°, determine the magnitude of the
acceleration of the collar P...
A 20 Kg slender rod pivoted at its center has a length of 6 m. A motor applied a torque of 2400 Nm on the rod to turn it from rest.
(a) Find the average power by the motor when the rod rotates an angle of 500 rad. _____________________
(b) Find the instantaneous power of the motor at the...
Homework Statement
A uniform rigid rod with mass Mr = 5.9 kg, length L = 2.9 m rotates in the vertical xy plane about a frictionless pivot through its center. Two point-like particles m1 and m2, with masses m1 = 5.7 kg and m2 = 1.8 kg, are attached at the ends of the rod. What is the...
Homework Statement
A uniform rod 1.1 m long with mass 0.7 kg is pivoted at one end, as shown in Fig. 9-46, and released from a horizontal position.
Find the torque about the pivot exerted by the force of gravity as a function of the angle that the rod makes with the horizontal direction. (Use...
Hi Guys,
I seem to have gone in circles YET AGAIN! When discussing the expansion of the Universe I was told by friends that masses and objects do not expand with space because the forces within the mass are so much stronger than the inflationary force. When discussing General relativity we...
If an uncharged conductor, a metal rod say, is placed in a uniform electric field E, parallel to the field (see figure), does it develop a potential difference between its two ends?
If so, how is the potential difference related to the field E?
Homework Statement
We have a thin rod of length 10 cm uniformly charged with a total charge of + 40 nC . A small glass bead charged to + 6 nC is located 4 cm from the center of the rod. What is the force on the bead?
Homework Equations
E = integral of K dq /r^2 and Q = lambda L and...
Homework Statement
A neutral metal rod of length 0.35 m slides horizontally at a constant speed of 9 m/s on frictionless insulating rails through a region of uniform magnetic field of magnitude 0.6 tesla, directed into the page as shown in the diagram. Before answering the following...
Homework Statement
A long thin rod lies along the x-axis from the origin to x=L, with L= 0.750 m. The mass per unit length, l (in kg/m) varies according to the equation l = l0 (1+1.110x2). The value of l0 is 0.500 kg/m and x is in meters.
Homework Equations
stated in equation
The...
Homework Statement
A conducting rod is pulled horizontally with constant force F= 3.40 N along a set of rails separated by d= 0.260 m. A uniform magnetic field B= 0.500T is directed into the page. There is no friction between the rod and the rails, and the rod moves with constant velocity v=...
Homework Statement
Suppose that we have a uniform rod inside a circle. It's free to slide with its ends on the inside of the circle, and it subtends an angle of 120 degrees at the center of the circle. I'm looking for the Lagrangian of this system.
Homework Equations
I = ml^2/12 for...
[FONT="Trebuchet MS"]I recently repaired a domestic water heater and had to replace the heater element that was heavily coated with hard water salts as well as the SS (Stainless Steel) tank had a large quantity of salt precipitate; the heater element has the option to have a magnesium rod/...
A uniform rod of mass 0.62 kg is 6 m long.
The rod is pivoted about a horizontal, fric-
tionless pin at the end of a thin extension (of
negligible mass) a distance 6 m from the cen-
ter of mass of the rod. Initially the rod makes
an angle of 48◦ with the horizontal. The rod
is released...
Homework Statement
There's a rod, 1 m long and by itself weighing 1 kg, with two balls attached at each of the sides, one weighing 2 kg, and the other 4 kg. The balls are put upon two scales. What force is applied upon each of the scales (e.g. what do the scales show)?
Homework Equations...
Rod is 1. pulled, 2. pushed horizontally. Force required to sustain constant vel.?
Homework Statement
There are 2 scenarios.
1. A rod of mass 5kg is first pulled at constant velocity by a force at 45° to the horizontal.
2. Then the same rod is pushed at constant velocity by a force at...
moving charged particles created a magnetic field perpendicular to their motion I believe. Anyways If you where to give a metal rod a positive or negative charge and spun it really fast would you created a noticeable magnetic field as a result of the moving rod as a whole?
Its just a thought...
Homework Statement
A wooden rod of negligible mass and length 77.0 cm is pivoted about a horizontal axis through its center. A white rat with mass 0.480 kg clings to one end of the stick and a mouse with mass 0.180 kg is placed at the other end of the rod (the end away from the rat), and the...
rotational dynamics rod--please help!
Homework Statement
A thin rod of length l and mass m is fixed at a far ends by a free pivot and held from rotating with a string attached at 3/4l and fixed toa ceiling. The moment of inertia of a thin rod about a far end is ml2/3
a) what is the pivot...
Homework Statement
The figure shows a positively charged plastic rod of length L = 2.40 m and uniform linear charge density 8.00×10-3 C/m. Setting V= 0 at infinity, find the electric potential at point P for d = 1.536 m.
Homework Equations
The Attempt at a Solution
Alright, I...
Homework Statement
If the total charge on a rod of length 0.4 m is 2.6 nC, what is the magnitude of the electric field at a location 1 cm from the midpoint of the rod?Homework Equations
[(2QK)/(Y)](1/sqrt(L^2 + 4[(Y)^2]), K = 8.99E9
I don't know if the above equation is actually correct.The...
Homework Statement
A rod of mass m and length L is suspended from one end, and swings as a pendulum (ignore friction from the hinge). It is released from rest when it forms an angle θ with respect to the vertical.
The moment of inertia of the rod about its rotation axis is mL2/3.
What is...
Homework Statement
A uniform rod of length a hangs vertically on the end of an inelastic string of
length a, the string being attached to the upper end of the rod. What are the
frequencies of the normal modes of oscillation in a vertical plane?
Answer: \omega^2 = (5 \pm \sqrt{19})g/a...
Homework Statement
In the steering arrangement below, axle 1 is a circular cross section rod.
It is hold by two bearings.
F1= 476 N
M1 = 15 Nm
Fw2 = 304.75 N, and we know that the moment imposed by Fw2 is equal to M1
l5 = 0.2 m
l8 = 0.1 m
The tensile yielding stress:
\sigma = 235 Mpa
safety...
Homework Statement
An infinitely long conducting cylindrical rod with a positive charge lambda per unit length is surrounded by a conducting cylindrical shell (which is also infinitely long) with a charge per unit length of -2 \lambda and radius r_1, as shown in the figure.
What is E(r)...
A charge of uniform linear density 2.20 nano Coulombs per meter is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius = .0600 m, outer radius = .104 m). The net charge on the shell is zero.
a) What is the magnitude (in...
A rod AB having mass M ,pivoted at mid point at 0 is in horizontal..An insect having same mass M Fall vertically on rod at mid point C between 0 and B with speed V..It starts moving towards end B such that angular velocity of rod remains constant ..If the insect reached at B when rod has rotated...
Homework Statement
so the rod is of length l, and the speed of a transverse wave is v_w. It asks for the possible frequencies f_i. The rod is held in the centre so a node exists here.Homework Equations
look below
The Attempt at a SolutionI know that v_w = \lambda * f_i
So it follows that i...
Thinking in terms of the conservation of energy, it seems to make sense that if you took a relatively elastic rod with hooks on either end, so that it could be bent all the way around and made to hook to itself (and make a loop), that the energy required to bend it into a closed loop would be...
Homework Statement
"A rod of 13.1 cm long is uniformly charged and has a total charge of -23.2 micro coulombs. Determine the magnitude of the electric field along the axis of the rod at a point 52.1575 cm from the center of the rod. The Coulomb constant is 8.98755e9 N M^2/C^2. Answer in units...
Homework Statement
When you rub a rubber rod with fur it becomes negatively charged. How does it keep it's charge if it's in your hand?
Homework Equations
The Attempt at a Solution
We did this in the lab and it definitely stays charged (at least long enough to observe some...
Homework Statement
A charged nonconducting rod, with a length of 3.00 m and a cross-sectional area of 5.37 cm2, lies along the positive side of an x-axis with one end at the origin. The volume charge density ρ is charge per unit volume in coulombs per cubic meter. How many excess electrons...