This is part of the space elevator problem. It starts with a swinging rod scenario:
1. Suppose that you swung a rod of mass m and length l at angular speed w in a vertical circle with your shoulder as the axis. The distance ra is the length of your arm, which is the distance from the bottom...
Homework Statement
Two infinite parallel wires, having the cross sectional area 'a' and resistivity 'k' are connected at a junction point 'P'. A slide wire of negligible resistance and having mass 'm5 and length l can slide between the parallel wires, without any frictional resistance.
If...
Homework Statement
http://www.phys.uri.edu/~gerhard/PHY204/tsl330.pdf
full solution here
Homework Equations
The Attempt at a Solution
Here is solution of problem for positively charged rod. What will be the difference if I take negatively charged rod? Why I start integration from d...
Homework Statement
In the figure below, a small 60 g block slides down a frictionless surface through height h = 20 cm and then sticks to a uniform rod of mass 105 g and length 40 cm. The rod pivots about point O through angle θ before momentarily stopping. Find θ.
(Picture attached)...
Hello Physics Forums. I've read the forum on and off for a while and have always found that the folks here have given such thorough answers that I've had nothing more to contribute! :) But I finally have the need to ask a question.
I work in a physics lab and we are trying to determine the...
I have a uniform rod laying on a table. A ball comes in and hits the rod making it move backwards but also rotating. Assuming that we are in a frictionless environment, how do describe the circle made by the rod?
Homework Statement
A 1.80 m long thing rod is balanced vertically on its tip on the floor. It starts to fall and its lower end does not slip. What is its angular speed just before it hits the floor?
Homework Equations
1/3ML^2
L=mvr
The Attempt at a Solution
When I first started...
Homework Statement
A long, thin rod of mass M and length L is standing straight up on a table. Its lower end rotates on a frictionless pivot. A very slight push causes the rod to fall over. As it hits the table, what are a)the angular velocity and b) the speed of the tip of the rod?
I'm...
Homework Statement
At 20° C, a rod is exactly 20.05 cm long on a steel ruler. Both the rod and the ruler are placed in an over at 250° C, where the rod now measure 20.11 cm on the same ruler. What is the coefficient of linear expansion for he material of which the rod is made?
Homework...
7. 0/10 points All Submissions Notes Question: SerPSE8 11.P.037.
Question part
Points
Submissions
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0/5 0/5
4/100 2/100
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A wooden block of mass M resting on a frictionless, horizontal surface is attached to a rigid rod of length script i and of negligible mass. The rod...
[b]1. A rigid, massless rod has three particles with equal masses attached to it as shown below. The rod is free to rotate in a vertical plane about a frictionless axle perpendicular to the rod through the point P and is released from rest in the horizontal position at t = 0. Assume that m and d...
A rod has mass M and length L. Calculate the moment of inertia of the rod about an axis which is passing through its center of mass and forming an angle \theta to the rod.
I drew a diagram on an xy-plane where the rod is on the x-axis and the center of the rod is at the origin. Chopping the rod...
Homework Statement
A long narrow solid rod has an atomic density 5 \times 10^{28}m^{-3}
each atom has a polarizability of 10^{-40} . Find the internal field when an axial field of 1 V/m is applied.Homework Equations
im not sure what formula to use
but here's one:
p = E_{loc} \sum_{r} n_j...
Hi
I am trying to solve this problem. I already got the answer but have some questions.
A long uniform rod of length L and mass M is pivoted
about a horizontal, frictionless pin through one end. The
rod is released from rest in a vertical position, as shown in
Figure P10.61. At the...
Homework Statement
A rod of mass m and radius R rests on two parallel rails that are a distance d apart and have a length L. The rod carries a current I and rolls along the rails without slipping. A uniform magnetic field B is directed perpendicular to the road and the rails, pointing...
Homework Statement
A 4.80 -kg ball is dropped from a height of 10.5 m above one end of a uniform bar that pivots at its center. The bar has mass 8.00 kg and is 4.00 m in length. At the other end of the bar sits another 5.10 -kg ball, unattached to the bar. The dropped ball sticks to the bar...
Homework Statement
The uniform rod (length 0.60 m, mass 1.0 kg) in Fig. 11-54 rotates in the plane of the figure about an axis through one end, with a rotational inertia of 0.12 kg·m2. As the rod swings through its lowest position, it collides with a 0.20 kg putty wad that sticks to the end of...
Homework Statement
A conveyor system is fitted with vertical panels, and a 300-mm rod AB of mass 2.5kg is lodged between two panels as shown. Knowing that the acceleration of the system is 1.5m/s2 to the left, determine (a) the force exerted on the rod at C, (b) the reaction at B...
Homework Statement
A thin rod extends along the z-axis from z=-d to z=d, carrying uniformly distributed charge along it's length with charge density lambda. Calculate the potential at P1 on the z-axis with coordinates (0,0,2d). Then find an equal potential at point P2 somewhere on the x-axis...
Homework Statement
Consider a rigid rod-plus-disc system
Find the moment of inertia of the pendulum as it freely rotates about the point P. The rod has a length 0.62 m, and the disc has a radius half that. The pivot at P is a fourth of the way from the end of the rod. The rod has a mass of...
a rod is vertically placed in x-y plane
a slight disturbance is given to it so that it is inclined at an angle (90-a) with the horizontal.
find the acceleration of the centre of mass
i think that the path followed by the centre of mass would be elliptical so its acceleration can be gsina
Unfortunately the piston has disintegrated so we are unable to use that to form an opinion on this failure. Please let me know your thoughts, thank you!
http://www.maperformance.com/gallery/pictures/rodfailure1.jpg
[PLAIN]http://www.maperformance.com/gallery/pictures/rodfailure2.jpg...
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...
Homework Statement
A hemispherical bowl is fixed with its rim in a horizontal plane. Into the bowl is laid a rod of length equal to the diameter of the bowl. The rod is uniform. There is no friction at either point of contact. Find the angle between the rod and the horizontal when the rod...
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...
Homework Statement
Consider placing a short length of small diameter steel (specific weight =490 lb/ft^3) rod on the surface of water. What is the maximum diameter that the rod can have before it will sink? Assume the surface tension forces act vertically upward.Homework Equations
volume of...
Homework Statement
A rod has a uniform mass density of 0.05 kg/cm it has a moment of inertia equal to 0.1ML^2. The rod sweeps out an area equal to 0.25* pi meters squared in 4 seconds. If you apply a net torque of -1/16 Nm to the rotating rod, how many revolutions will the rod make before...
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
25. A semi-infinite nonconducting rod (i.e. infinite in one
direction only) has uniform positive linear charge density
lambda. Show that the electric field at point P makes an
angle of 45 degrees with the rod and that this...
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...
1. 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 (c\rho=1, K=1) with a constant source (Q=0), whereas for the other 1<x<2 there are no sources (Q=0, c\rho=2...
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...