Rotating Definition and 1000 Threads

I'm designing something in which an insert fits into a piece of steel square tubing. The insert is held in place by a set screw threaded in the insert, which is in turn loc-tited into an aluminum "plug" (wider surface area) and is clamped to the inner wall of the square tubing with a hex wrench...

Look at picture for more details... Book says... " A body is free to rotate only about the z-axis. Within the body any particle of mass m can move only in a plane parallel to the xy plane." What would the xy plane look like? I am assuming by "xy plane" this does not mean x and y axis...

Homework Statement The center of a long frictionless rod, pivoted at the origin, is forced to rotate at a constant angular velocity Ω in the horizontal xy-plane. Write down the equation of motion for a bead threaded on the rod, using the coordinates x and y where x is measured along the rod...

Homework Statement Solid cylinder: H=0.14m, R=0.05m. Mass density ∂=900-(900r/0.05), where r is distance from axis of the cylinder. A string of negligible mass and length 0.85m is wound around the cylinder, which is set spinning by a horizontal pull on the string with F=2.5N. The cylinder...

Homework Statement A shaft 2 m long rotates at 1500 revs min–1 between bearings as shown in FIGURE 2. The bearings experience forces of 5 kN and 3 kN acting in the same plane as shown. A single mass is to be used to balance the shaft, so that the reactions are zero. The mass is to be...

Homework Statement Essentially, I am trying to determine the force that must be applied to a rotating disc to that stop that disc from rotating in a certain time period. The disc is rotating at 5800 rpm, the disc has a radius of 5 inches, and a thickness of 0.087 inches. The disk is made...

Hi all, Homework Statement My problem is a pretty basic one, in a exercise a rigid rod of mass M is rotating around a horizontal pivot point i one end. The rod has the length L. I now need to derive the equation of motion using the Lagrangian formalism. My question is: Can i view the...

Is it possible for a piece of cement in a rotating cement mixer to travel at constant speed? If we graph a cement mixer (circle) on the Cartesian plane with a radius of 1, then at (1, 0), there would be a gravity vector pointing down and a normal force pointing towards (0, 0). Are there any...

Homework Statement A computer disk drive is turned on starting from rest and has constant angular acceleration. If it took 0.690s for the drive to make its second complete revolution, how long did it take to make the first complete revolution? What is the angular acceleration?Homework Equations...

Homework Statement An homogeneous rod is fixed to an extremity and is rotating around a vertical axis, doing an angle of theta with the vertical. (in the scheme I made I wrote alpha but it's theta! (θ)) If the length of the rod is L, show that the angular velocity needed to make it turn...

Homework Statement A square loop with sides l is centered on the origin and fixed in the center so it is free to rotate around the x-axis. A magnetic field is changing with time B=B_0(1-exp(-a*t)). I need to find a differential equation to describe the motion of the rotating loop...

I've been thinking about these problems for a long time but I really can't wrap my mind around them. Please share your insights! Consider a circle of radius R/8 internally tangent (inside) a circle of radius R. How many rotations does it take for small circle to return to the same position...

A rigid "H" falls rotating about one of its legs. What's its angular velocity? A rigid body is made of three identical thin rods, each with length L = 0.340 m, fastened together in the form of a letter H, as suggested by the figure here. The body is free to rotate about a horizontal axis that...

Homework Statement Part c: A pendulum is attached to a 0.15m wooden bar sticked horizontally to a table by a string of 0.12m. If the system is revolved with a revolution speed of 1.5 rev per second, what is the angle θ the pendulum make with respect to the vertical axis? Homework...

Homework Statement A ring can rotate about a horizontal axis(x), and a diameter placed on the x-axis. A uniform field is perpendicular to the ring -B0*y. The diameter of the ring is D. it spins with constant angular velocity ω around the x-axis. At at time t = 0 the ring is entirely in the xy...

Homework Statement Find the Lagrangian of a simple pendulum of mass m whose point of support moves uniformly on a vertical circle with constant angular velocity. (So basically there is a circle around the origin that spins with a constant angular velocity and the pendulum is attached to the...

Homework Statement I'm trying to calculate the kinetic energy of a rotating cube about one of its face diagonals, using the moment of inertia tensor for the cube rotating around one of its corners.Homework Equations T=\frac{1}{2}\omega\cdotL L=I\omega (I'm not sure how to signify vectors in...

Homework Statement A uniform disk of mass 9.00m and radius 2.00r can rotate freely about its fixed center like a merry-go-round. A smaller uniform disk of mass m and radius r lies on top of the larger disk, concentric with it. Initially the two disks rotate together with an angular velocity...

Suppose I have a disk that is 100,000 km in diameter. I attempt to rotate it at 1 revolution per second. Am I unsuccessful because the material on the outside edge would have to travel faster then light or am I successful because length contraction at the outside edge reduces the...

Trying to teach myself physics and I've run into a problem I don't quite understand. "The magnitude of dA/dt can be found by the following geometrical argument. The change of A in the time interval t to Δt is" ΔA = A(t + Δt) - A(t) And then somehow it gets to |ΔA| =...

[b]1. Hi all. Can anyone please help me find the torque required for rotating a shaft which has two masses 1000 Kg each at 120 Degree angles. Please refer to the attachment for clarity. Homework Equations The Attempt at a Solution

Homework Statement Describe how to rotate the plane of polarization of a plane-polarized beam of light by $90^\circ$ and produce only a 10 percent loss in intensity using "perfect" polarizers. The solution says to use 24 polarizers, with each at an angle of $3.75^\circ$ with the next...

[b]1. Homework Statement A particle of mass can slide without friction on the inside of a small tube bent in a circle of radius r. The tube can rotate freely about the vertical axis, x3, and has a moment of inertia I3 about this axis. Homework Equations a) Derive the Hamiltonian for...

For contra-rotating motor, the external rotating element is a cylinder that carries copper coil and on account of electrical resistance, the coil is getting heated. The generated heat can be removed only by circulating oil around the coil through cavities/vents available inside the cylinder that...

Homework Statement Consider the bead threaded on a cicular hoop of example 7.6 (pg 260), working in a frame that rotates with the hoop. find the equation of motion of the bead, and check that your result agrees with eq 7. 69. Using a free body diagram explain the result 7.71 for...

Homework Statement The device consists of two rotating disks, separated by a distance of d = 0.879 m, and rotating with an angular speed of 96.1 rad/s. The bullet first passes through the left disk and then through the right disk. It is found that the angular displacement between the two...

Consider a vertical cylindrical CNC machine tool with mass of 0.75Kg, 0.015m diameter and height of 0.025m. It is rotating at 2000 rpm. While rotating it cuts some material. This cutting action takes place due to tangential force applied on the workpiece as shown below...

Homework Statement A horse located 8.0m from the central axis of a rotating carousel moves at a speed of 6.0 m/s. The horse is at a fixed height (it does not move up or down). What is the net force acting on a child seated on this horse? The child weight is 130N. Homework Equations...

A flat, circular plate (mass Mp, radius Rp, thickness Tp) rotates parallel to the surface of the Earth on a frictionless axle. As it spins, a point on the top of the disc traces a circle each time the plate completes a rotation. in terms of the number of rotations per minute (N/min), create...

Homework Statement A mass of 2kg rotates at 1m/s in a horizontal circle on a table at the end of a spring with an elastic constant of 50N/m. If the original length of the spring is 2m, find the extension of the spring. Given - M=2kg, V=1m/s, k=50N/m, original length of x=2m find x'...

1. The stone of mass m=100 kg is placed inside the cup at the end of a rotating arm of length l=3 m. If arm is released from rest at theta=0 and its angular acceleration is given as theta (double dot) = 5 rad/s2 cos t (a) find the acceleration of the stone with theta=pi/4 rad; (b) what is the...

1. A: Homework Statement If the Earth and Mercury happened to be pulled out of the solar system by the gravitational force of a passing neutron star, and then left in orbit about each other in an otherwise empty region of the galaxy, our lovely planet would probably get very cold. But...

Homework Statement I would like some help with the following problems 1. Consider in R^{j}={f : f = \Sigma^{l}_{m=-l} a^{m}f^{l}_{m}} the operator \stackrel{\rightarrow}{e}\bullet\stackrel{\rightarrow}{J}, where \stackrel{\rightarrow}{e} is a unit vector in 3-dimensional space. (a) Calculate...

I would like some help with the following problems 1. Consider in R^{j}={f : f = \Sigma^{l}_{m=-l} a^{m}f^{l}_{m}} the operator \stackrel{\rightarrow}{e}\bullet\stackrel{\rightarrow}{J}, where \stackrel{\rightarrow}{e} is a unit vector in 3-dimensional space. (a) Calculate the probabilities...

Hi all... my first time here... I hope someone can help. I'm toying with a home project (in the early conceptual stage), and the attached picture shows "in general terms" what I'm trying to figure out. The outer 'wheel' rotates about its central axis, driven at that axis by a small motor...

Homework Statement Given a 1.5” output shaft, a 80-90 ksi yield strength. Neglecting limitations of keys or gear reducer what is the maximum HP that could be transmitted by the 1.5” shaft Homework Equations Torque = (63025*H)/n H is HorsePower and n is RPM Force =...

What would happen? Would the result be a non-rotating black hole? During their collision when their ergospheres overlap, would it generate an area where nothing could move in either direction along the plane of rotation? Also, since the force of their gravitational pull would be the same, would...

1. Homework Statement A solid sphere of mass m rotates uniformly in a horizontal circle suspended from a fixed point on a cord of length L and negligible mass. The cord makes an angle theta from the vertical. What is the angular velocity? 2. Homework Equations Torque= (Rotational...

Hey, does anyone know where I can find the correct metric for a rotating disk? Is the article at this link correct? If not, where is the error? Link to non-mainstream journal removed.

Homework Statement Show for a solid spherical ball of mass m rotating about an axis through its center with a charge q uniformly distributed on the surface of the ball that the magnetic moment \mu is related to the angular momentum \vec{\mu}={\frac{5q}{6mc}}\vec{L} Homework...

this is my first post so please be gentile with me what would a wheel or a disc turning at a speed approaching that of light look like my knowledge of the subject it quite small but say the disc was rotating clock wise then looking at it from its right side would the top half look...

Homework Statement If a solid is generated by rotating the line (x=4tan(y*pi/3)) on the y-axis. Find the volume between the area 0≤y≤1. Homework Equations I know that, when slicing a section (A(x)), I will generate a circle. This gives me two of the dimensions (by using area of a...

Imagine we have a spinning disk. Points near the center of the disk rotate slowly while those increasingly far out are moving faster. Now suppose we have a sufficiently large disk such that the points on the edge of it are moving relativistically, and would classically be reaching or surpassing...

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...

Considering the ADF (automatic direction finding) of an aircraft. Assuming the transmitting aerial is vertically polarised i.e mag field lies in the horizontal plane. And it is the magnetic field of the incoming signal that induces current in the loop. And what would be the rotating plane of...

Suppose there is a rotating wheel at constant angular speed, i.e, 1000 RPM (Revolution Per Minute). What is the torque of Earth at certain location? The equator should have the maximum torque value. I find the angular speed w by 1000 x 2Pi rad x 1 / 60s = 104.71 rad/s Assume M is the mass of...

I am trying to design a certain mechanism. It is basically a rotating tube(a DC motor is driving it) attached to a motor at one end. There is a spring attached to just about the midpoint of the rectangular tube. The tube will spin and start stretching the spring. once it reaches the other...

Hi everyone, I'm working on load distribution of what to be put on a platform. The platform will be rotated by the wheels placed at the circumference of the platform. The loads that need to be put are the optical components which have mass of 1 ton which will cover 8 m x 8 m area and...

large number of magnets attached to a fixed non magnetic circular ring. Another non magnetic smaller radius ring with equal number of magnets is taken. Here magnets are attached such a way that like polls of the magnets of bigger and smaller rings are facing each other. Due to repulsive force...

Hey fellas am having some trouble understanding the concept behind a rotating magnetic field. Looked up the wiki entry and a couple of other webpages, but only ended up getting more confused. I am well versed with all EM fundamentals, but still...:confused: OK so in a basic alternator, we...