Rod Definition and 1000 Threads

Homework Statement The thin rod shown has a length L = 100 cm, and a density that varies from 26 g/cm at the origin to 3 g/cm at the far end. Determine a) the moment of inertia about axis 1 (passing through the center of mass of the rod), and b) the moment of inertia about axis 2 (passing...

Homework Statement See image Homework Equations KQ/r^2 The Attempt at a Solution I have seen several different ways of working this problem, but they have all failed on me. I tried this using the equation above from my book E = (8.99x10^9)(1036 C)/(4x10^-6m) E= 2.328x10^18 N/C I also...

equilibrium -- A rod influenced by multiple rope tensions Homework Statement Smooth and identical rod has a weight of P. The rod seems to be in equilibrium with X and Y which has a weight of P. What can be the weight of X according to the values below?(ip means rope) P , 6P or 9PHomework...

Homework Statement Calculate the angular velocity w of the slender bar Ab as a function of the distance x and the constant angular velocity w0 of the drum. I have attached an image of the question Homework Equations The Attempt at a Solution x = √(x2+h2)cos(θ) x' =...

In the figure, two particles, each with mass m = 0.79 kg, are fastened to each other, and to a rotation axis at O, by two thin rods, each with length d = 5.9 cm and mass M = 1.2 kg. The combination rotates around the rotation axis with angular speed ω = 0.32 rad/s. Measured about O, what is the...

Homework Statement The body is formed of slender rod and rotates about a fixed axis through point O with the indicated angular properties. If ω = 4.6 rad/s and α = 4.4 rad/s2, determine the instantaneous velocity and acceleration of point A. I have attached an image of the question Homework...

Question A thin nonconducting rod with a uniform charge distribution of positive charge Q is bent into a circle of radius R. The central perpendicular axis through the ring is a z axis, with the origin at the center of the ring. What is the magnitude of the electric field due to the rod at...

Hi, Can anyone explain what would be the maximum shear force experienced by a rod if equal and opposite torques (T) were applied at each end? In comparison to a rod that was fixed at one end and had a torque T applied at the other end would the maximum shear experienced by the rod be...

Homework Statement Uniform sphere of mass ##m## and radius ##r##, rolling without slipping on a horizontal surface at a velocity ##v_0##, hits the end of a rod of length ##l## and mass ##10m##, hanging on a hinge (Figure). Determine how the ball will move and the rod after the impact. What time...

Homework Statement Rod AB of length 2l, inclined to the horizontal at an angle \phi, falls, without rotating, with some height h on a horizontal table and hits the table surface elastically first left, then right end. During the strike the right end, the rod again consist angle with the...

If an iron rod, inside two coils, incurs current going through the coils in the same direction, then the rod will increase in length and then it will begin to reduce in length. This is due to the magnetostrictive properties of the iron. When the currents oppose each other, so as to cancel...

Homework Statement A particle of mass m is free to slide on a thin rod. The rod rotates in a plane about one end at a constant angular velocity w. Show that the motion is given by r=Ae^(-γt)+Be^(γt), where γ is a constant which you must find and A and B are arbitrary constants. Neglect...

Here's the question ------------------- Here's my attempt using energy approach. However, I'm kinda stuck. how do I solve this DE to get the expression for v(t)?

A conductingng bar of mass 1. w kg and length l = 1. x m is placed at rest on a frictionlsss plane inclined at an angle θ = 2 y degrees to the horizontal. A current I= 4 A flows through the bar in the − ˆj direction, and there is a uniform magnetic field B = 1 T in the kˆ direction. (a) What...

Homework Statement A "semi-infinite" nonconducting rod has a uniform linear charge density λ. Show that the electric field E at point P a distance R above one end of the rod makes an angle of 45° with the rod and that this result is independent of the distance R. Homework Equations...

A smooth circular cylinder of radius $$b$$ is fixed parallel to a smooth vertical wall with its axis horizontal at distance $$c$$ from the wall. A smooth uniform heavy rod of length $$2a$$ rests on the cylinder with one end on the wall in a vertical plane perpendicular to the wall. Show that its...

Homework Statement A uniform rod (length = 2.0m) is mounted to rotate freely about a horizontal axis that is perpendicular to the rod and that passes through the rod at a point of 0.5m from one end of the rod. If the rod is released from rest in a horizontal position, what is the angular...

Homework Statement An aluminum rod is clamped at the one- quarter position and set into longitudinal vibration by a variable-frequency driving source. The lowest frequency that produces resonance is 6180 Hz. Find the length of the rod. The speed of sound in aluminum is 4860 m/s. Homework...

Homework Statement An object is formed by attaching a uniform, thin rod with a mass of mr = 6.91 kg and length L = 4.88 m to a uniform sphere with mass ms = 34.55 kg and radius R = 1.22 m. Note ms = 5mr and L = 4R. What is the moment of inertia of the object about an axis at the left end...

I'm a complete newbie to physics, just wanted an answer to something. Why is it easier to snap a longer rod compared to that of a smaller rod of the same material? Is it just down to greater torque applied with respect to the longer rod? I have tried to google it but it doesn't come...

I have a mechanism wish to disconnect connecting rod and crank when i cycling so that i do nt need to use additional force to turn connecting rod also but connect them once my driving system is set up and piston that connected to rod can rotate my crank how can i set up this mechanism?

Homework Statement This is regarding setting up an integral to calculate the electric field on a point charge that is at a distance "a" from a uniformly charged rod of length "L". I have attached a picture of my work, which includes a diagram of the problem, and wanted to know if my thought...

Homework Statement A very simple problem, but part of an assignment regarding heat flow. The question is: A 15 cm rod is insulated at one end, the other is in contact with a reservoir of temperature 37C. By thinking of the physics, after a long time, what is the temperature at the point 5...

Homework Statement Q: A rod of length l rotates with a uniform angular velocity ω about the axis passing through its center and perpendicular to its length. A uniform magnetic field B exists with its direction normal to the plane of rotation. The e.m.f. induced between the center and anyone...

help with practice test problem! curved rod with charge density?? Two plastic rods are curved. The left rod is a 120° circular arc of radius R, and has uniform charge density λ. The rod on the right is a 120° circular arc of radius 2R, and has uniform charge density -2λ. A point P is located...

Homework Statement A metal rod (1/sqrt(pi)) m long rotates about one of its ends in a plane perpendicular to magnetic induction of 5*10^-3 T. Calculate the number of revolutions made by the rod if EMF induced between the ends of the rod is 1.5 mV. I have been thinking about this problem for...

A uniformly tapering cantilever of solid circular cross-section has a length L and carries a concentrated load at the free end. The diameter at the fixed end is D and at the free end d. Show that the position of maximum bending stress occurs at a section (d/(2(D-d))*L distance from the...

Homework Statement A thin rod lies on the x-axis with one end at -A and the other end at A, as shown in the diagram. A charge of -Q is spread uniformly over the surface of the rod. We want to set up an integral to find the electric field at location ‹ 0, y, 0 › due to the rod. Use the...

Hi forum members. I need some guidance in the following question. In the Studsvik code Simulate-3 you can calculate differnetial and integral rod worths with the input card CRD.OCB. Further, you can specify if you want to lock hydraulics and fission products to some predefined state via the...

Homework Statement A ball of mass m is attached to a massless rod and is suspended from a frictionless pivot. It is moving in a vertical circle or Radius R such that it has speed v1 at the bottom. The ball is in a vacuum. Find an expression for the force exerted by the rod at the top of the...

hello, what happen if cod rod length increase by few hundred microns?

Homework Statement A thin semicircular rod is broken into two halves, the top half has a total charge +Q uniformly distributed along it, and the bottom half has a total charge -Q uniformly distributed along it. http://imgur.com/tObt2V0 Homework Equations Indicate the direction of the net...

Homework Statement A thin uniform rod of length 2b is suspended by two vertical light strings, both of fixed length l, fasted to the ceiling. Assuming only small displacements from equilibrium, find the Lagrangian of the system and the normal frequencies. Find and describe the normal...

Homework Statement From this video: http://www.youtube.com/watch?feature=player_detailpage&v=mdZo_keUoEs#t=77s it shows that the steel rod will eventually stay in the middle of the solenoid. At first the magnetic field of the solenoid would look like...

I am working on an animation, which involves a rigid, vertical tower falling (toppling) to the ground, and I am stuck at its core physics. Actually this is the same as the thin uniform rod initially positioned in the vertical direction, with its lower end attached to a frictionless axis...

What is the angular momentum of a rod rotating about one end (mass M and angular velocity ш),about its center of mass?

i am designing a heating element control system. i am looking for a relay(with 5V input voltage if possible or 12V) which can control an immersion rod with specification 16-A & 250 V AC. The following are my questions. 1. the heater has to be driven with power sockets(type M sockets -16A)...

http://dev.physicslab.org/Document.aspx?doctype=3&filename=RotaryMotion_RotationalDynamicsPivotingRods.xmlin this example, the rod is swinging with one end pivoted. conservation of energy was used in this example. the change in potential energy was converted to kinetic energy, and mechanical...

Homework Statement A uniform rod of mass m and length l is pivoted at point O. The rod is initially in vertical position and touching a block of mass M which is at rest on a horizontal surface. The rod is given a slight jerk and it starts rotating about point O. This causes the block to...

I hope someone can point me in the right direction on how to solve this, and hopefully I can explain it properly. Given a rod with a known length, mass and center of mass, how can I find the linear density at a given location (x) along the length of the rod. I want to say 'instantaneous'...

Homework Statement A thin rod of length L and mass M is free to rotate at a point O at a distance L/3 from one end. a.) What is the moment of inertia of the rod about O? b.) What is the magnitude of the torque due to the rod's own weight about O when it is displaced from the vertical by and...

Homework Statement The flywheel is rotating with an angular velocity of = 6.8 . Determine the angular velocity of rod at the instant shown. http://postimage.org/image/lfypabekb/ Homework Equations (1) V_B= ω x r (2) V_C= V_B + ω x r_C/B The Attempt at a Solution I do...

I need to get a 100 on this last Physics lab assignment, but I can't get this "rod" ...problem :( Help would be appreciated (a) L1 = (65 cm)/2 = 32.5 cm "CORRECT" (b) [(149 kg)(1) + (149 kg)(65 cm) + (149 kg)(65 cm + 32.5 cm)] / (3)(149 kg) = (149 + 9685 + 14527.5) / (447) =...

Homework Statement In the attached image, find angular velocity of the rod and the velocities at points B and C. Homework Equations vB|A=0.3ω The Attempt at a Solution How do I know what angle the absolute velocity makes with the other vectors when put in a triangle? How would the velocity...

Homework Statement We have a steel rod with density ρ = 7,90 kg/m^3. When it's horizontally on the floor, it's length is L = 6,00m. The rods surface area A is a circle with radius r=0,04m. Steel has Young modulus E=2,1 \cdot 10^{11} Now the rod is lifted up so it's vertically straight...

This has been brought up numerous times but I don't really understand it. Consider a rod in freefall. If you put your coordinate frame in the center of mass of the rod, there will be no torque around it and the rod as a whole will follow a straightline down. But now put a coordinate frame on...

Homework Statement A rod of length l swivels around an axis, denoted O in the drawing, located on the floor. The initial position is β=45°. A ball B is left to fall at the same time the rod is left to rotate. Who will arrive, first, to the floor: the ball or the edge A of the rod...

A uniform thin rod of length 0.500 m and mass 4.0 kg can rotate in a horizontal plane about a vertical axis through its center. The rod is at rest when a 3.0 g bullet traveling in the rotation plane is fired into one end of the rod. As viewed from above, the bullet's path makes angle θ = 60°...

Homework Statement A small disc and a thin uniform rod of length l, whose mass is η times greater than the mass of disc, lie on a smooth horizontal plane. The disc is set in motion, in horizontal direction and perpendicular to the rod, with velocity v, after which it elastically collides with...

A rod occupying the interval 0 ≤ x ≤ l is subject to the heat source f(x) =0, for 0 < x < L/2 f(x) =H , for L/2 <x <L ,H>0 (1)The rod satisfies the heat equation ut = uxx + f(x) and its ends are kept at zero temperature. Find the steady-state temperature of the rod. (2)Which pointis the...