Homework Statement
A rigid rod of mass 3.50 kg and length of 2.70 m rotates in a vertical (x,y) plane about a frictionless pivot through its center. Particles m1 (mass=4.70 kg) and m2 (mass=2.60 kg) are attached at the ends of the rod. Determine the size of the angular acceleration of the...
Homework Statement
Determine
a)where the greatest stresses are
b) overall change in length
That is meant to be a hollow cylinder on the bottom section inbetween the dotted lines
E = 200 GPa
Homework Equations
σ = Fn / A
ε = dl / lo = σ / E
The Attempt at a Solution
The book gives the...
Homework Statement
A uniform horizontal rod of mass 2.3 kg and
length 0.32 m is free to pivot about one end
as shown. The moment of inertia of the rod
about an axis perpendicular to the rod and
through the center of mass is given by
I = (ml^2)/12
If a 4.6 N force at an angle of 76 to...
Homework Statement
[PLAIN]http://www.smartphysics.com/images/content/mechanics/ch15/momentofinertia2new.png
What is the moment of inertia of the object about an axis at the center of mass of the object? (Note: the center of mass can be calculated to be located at a point halfway between the...
Homework Statement
There is a non-conducting charged rod with length L=.0815(m) and linear charge density λ=-5.9x10-14(C/m). The rod is placed parallel to and on the x-axis, and at a distance a=.12(m) from the right-most end of the rod is point P. Calculate the magnitude and direction of E...
An initially neutral conductor contains a hollow cavity in which there is a + 65.0 nC point charge. A charged rod transfers - 75.0 nC to the conductor.
Afterwards, what are the charges along the inner surface and the exterior surface?
I understand that the charges from the rod are equally...
I have a question, but I'm a neophyte so please correct my premise if it is wrong. If it is true that in an expanding universe the space between any 2 points increases than wouldn't it be true that the space between the end points of a measuring rod (e.g. a light year, or more fundamentally a...
Homework Statement
Determine the electric force exerted on a negative point charge –Q located a distance d away from a line segment of charge, extending from –L/2 to +L/2 along the x-axis. The line segment has a non-uniform charge distribution, lambda(x)=lambda_0*x .
Homework Equations...
Homework Statement
A vertical wire with current I, and a rod, perpendicular to the wire, at a distance d from the wire and with a length of L. The rod is moving with velocity v parallel to the wire. What is the potential at the far end of the rod given the chosen potential at the end of the...
imagine a metal rod floating in a region of magnetic field. You give the rod a slight nudge. Will the rod continue to go forever?
Considering conservation of energy i think it wouldn't. But i can't come to terms with any reasonable reasoning.
Homework Statement
A small 10.0-g bug stands at one end of a thin uniform bar that is initially at rest on a smooth horizontal table. The other end of the bar pivots about a nail driven into the table and can rotate freely, without friction. The bar has mass 60.0g and is 90cm in length...
Homework Statement
A uniformly charged insulating rod of length 14.0 cm is bent into the shape of a semicircle. The rod has a total charge of -7.50\muC. Find (a) the magnitude and (b) the direction of the electric field at O, the center of the semicircle.
Homework Equations...
Homework Statement
A thin rod of length 2l and linear mass density of \lambda is constrained to move with its ends on a circle of radius a, where a>l. The circle is in the vertical plane (gravity is present). The contacts between the circle and rod are frictionless.
Part A: Write down the...
Homework Statement
A rod of length L has a total charge Q uniformly distributed along its length. The rod lies along the x-axis with its center at the origin.What is the electric potential as a function of position alon gthe x-axis for x>L/2
Homework Equations
V=∫kdq/r = ∫kQ/r dx I'll...
hey guys, I have a question regarding how to get the potential energy for this. I can get the correct answer, but the solutions do a step that makes absolutely no sense to me, so hopefully someone leads me in the right direction :smile:
Homework Statement
Using energy method,
derive the...
If the cylinder rod is pushing (extending), we have to consider buckling. What happens when it is pulling?
Please let me know what properties of the rod we do have to take care of.
Hi all,
A rod 100 km in length is made from a very light material. One end of it is pushed (with whatever energy that may be required for this).
Would the other end move instantaneously or would there be a time lag? If so how much?
Some views (No aggressive ones please, especially from...
I understand that the frequency of the sound produced when hitting a metal rod will change as you hold different parts of the rod to increase or decrease the length of it. However, what puzzles me is whether the frequency will change if you keep the position of your hand constant while hitting...
If you had a lined retangular section solenoid inclined at a angle of 45 deg and you rolled a rod magnet ( just fits inside the retagular section) down it. Would the current induced in the solenoid brake or accelerate the rod magnet.
Here's a dumb question I came up with that I'm not seeing the answer to.
For any system of particles, F_ext = M a_cm. Consider a uniform rod lying on a frictionless surface:
-----------^
----------------
--------------v
Equal and opposite forces are exerted on the rod where the ^ and...
Homework Statement
You have to design a rod to hold up the hood of your car. Assume the hood weighs 40 lbs, and the rod must be 3 feet long.
What material would you use to make the rod? And what diameter would you make the rod?
Homework Equations
Stress= Force/Area
Buckling equation...
It is cylindrical in shape and is solid (not hollow) and has uniform density. Igonre air resistance.
It spins with some angular velocity omega and spins in the other possible ways.
Apart from omega, how many more degrees of freedom is possible?
I can find the MOI of a rod spinning with...
A metal rod and a metal ball more submerged in h2o, such that one end of the rod is adjacent to the ball. if the h2o will be heated from 30 k to 65 k, what is the acceleration of the ball? the initial length of the rod is 6 m.
Vball= 6 cm3
Vrod= 9 cm3
Crod= 13 cal/g.c degrees
Cball= 8 cal/g.c...
This is a pretty tough question for me. I am trying to learn, so please no rude people or trolls please.
Here is the problem I was given.
A 50 dyne steel rod is fixed at a point 20cm. from the right end. The clamp at this point provides a force of 200 dynes upward. The rod is in equilibrium...
Homework Statement
A small bead of mass m is free to slide along a long, thin rod without any friction. The rod rotates in a horizontal plane about a vertical axis passing through its end at a constant rate of f revolutions per second. Show that the displacement of the bead as a function of...
Homework Statement
What is the electric field within the rod? (See attached document for full question)
Homework Equations
emf = -d(phi)/dt= integral (E dot dl)
The Attempt at a Solution
The rod is moving within a uniform magnetic field. There is no change in flux through the...
If a rod of length l is uniformly charged with charge q what will be the potential at point p?
The point is on the axis of the rod.Distance between the rod and point is r.
Also tell the concept behind this. Any help will be highly appreciated.
Homework Statement
Here is the question:
Thin rod AB has length l=100 cm and total charge q=37 nC that is distributed in such a way that its line density ? is proportional to the square of the distance from the end A, i.e. ?(x) =kx^2. Determine electric field E at the end A of the rod.
...
Homework Statement
Thin rod AB has length L=100 cm and total charge q0=37 nC that is distributed in such a way that its line density \lambda is proportional to the square of the distance from the end A, i.e. \lambda(x) =kx^2. Determine electric field E at the end A of the rod.
Homework...
Homework Statement
a uniform rod of length 4.0m of mass M is supported by a cable which is under tension T. The other end rests against as wall, where it is held by friction. The coefficient of static friction is 0.5. An additional mass M is hung from the rod at a distance x from the wall...
hello,
Please see attached Ex and its Answer. I'm surprised that the pressure Txx has the same value as that in the instantaneous frame of the rotating rod Tx'x'. I believe this could be a typo isn't it ?
Isn't the Lorentz transform the following matrix for the rotating rod around the z axis...
Homework Statement
Suppose a thin rod of silver (E = 83 GPa, \rho = 10.5 g/cm3) is joined to a thin rod of gold (E = 78 GPa, \rho = 19.3 g/cm3).
Both rods have the same cross sectional area, and a longitudinal wave passes from the silver into the gold.
What amplitude will the transmitted...
Will a free falling rod rotate ?
When we consider a bicycle is turning on a flat plane, we know that there is friction, which provide centripetal force on the bicycle. And we know that the bicycle is no longer perpendicular to the flat plane so as to reach equilibrium. What I want to ask why we...
Homework Statement
Determine the actual shape of a copper bar in contact with a furnace at a constant 200 C at one end and a constant ice bank at 0 C at the other end.
Diameter of the rod is 2.54 cm. Length is .5 meters. Thermal conductivity of copper is 380 J /
(smC)
Homework...
The pendulum bob in the above figure must circle the rod interrupting its swing, and the string must remain taut at the top of the swing. How far up must the bob be raised before releasing it to accomplish these goals?
I don't know where to begin with this because I don't quite understand...
Homework Statement
Calculate the fundamental frequency of a steel rod of length 2.00 m. What is the next possible standing wave frequency of this rod? Where should the rod be clamped to excite a standing wave of this frequency?
Homework Equations
Fn=nv/2L
The Attempt at a Solution
since the...
As shown in the figure attached.
If both have the magnetization M, what will the B field and H fied for each object look like? why?
I have no hint how to answear this question, can anyone help?
any reply highly appreciated.
Homework Statement
A student measures the length of a brass rod with a steel tape at 20.0°C. The reading is 80.00 cm. What will the tape indicate for the length of the rod when the rod and the tape are at each of the following temperatures?
a) -18.0°C
Homework Equations...
Homework Statement
A string attached to the center of a rod with radius R has a mass attached at the other end, moving with speed v0. Because of acceleration due to gravity the mass moves down while undergoing circular motion, causing the string to wrap around the rod. Find an expression for...
1. A rod 16.0 cm long is uniformly charged and has a total charge of -24.0 µC. Determine the magnitude and direction of the electric field along the axis of the rod at a point 36.0 cm from its center.
2. How is this problem done?
3...
Homework Statement
A rod rotates clockwise about a point as pivot with the constant frequency 5 rev/s. Find the potential difference between its two ends, which are 80 cm apart, due to the magnetic field B = 0.3T directed into the page.
Homework Equations
There are two methods to find...
Homework Statement
A light rigid rod is placed on a smooth horizontal surface. Initially the end A begins to move vertically upward with constant velocity v and centre of the rod upward with a velocity v/2 having downward acceleration a/2. The other end moves downward with
a) 0 initial...
Homework Statement
A metal rod is 50cm long. Its linear density at the point x cm from the left end is given by the equation p(x)=1/(100-x) gm/cm. Find the mass and center of mass for the rod.
Homework Equations
mass = \int p(x)dx
center of mass = moment / mass
The Attempt at a...
Homework Statement
I need to find the Inertia Tensor of a Hollow Sphere and of a Slender Rod with center of mass set at the origin for my calculus 2 final project. I know how to do the triple integrals I am just having trouble figuring out what the limits should be for each of these shapes...
Homework Statement
So here is the problem (may look a little weird because I cannot input integral signs into this question)
A student working on a physics problem determined that the x- and y- components of the electric
field at a point P near a charged insulating rod can be calculated...
Homework Statement DESCRIPTION OF PROBLEM: So here is the problem (may look a little weird because I cannot input integral signs into this question)
A student working on a physics problem determined that the x- and y- components of the electric
field at a point P near a charged insulating...
I am having trouble conceptualizing a calculus optimization problem.
I can find the answer to the problem by using the procedure but i am quite uncertain of how the equations match up with what's actually going on in the situation!
Problem: What is the max length of widthless rigid pole that...