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Angular Momentum





L=r x p


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Angular Acceleration Calculations

The acceleration of point G has a magnitude of 15m/s^2 and is in the x direction. Point G is the center of the dis. The radius of the disk is R=0.5m and the instant shown theta=45 degrees and the angular speed of the disk is 7rad/s. Determine the magnitude of the angular acceleration of the disk. See attached file for more inf

Magnitude of Angular Velocity

The rigid body shown in this diagram is moving such that the velocities of points A and B are the same. The magnitude of the velocity of point A is 25m/s and the distance between points A and B is 10m. Determine the magnitude of the angular velocity of the rigid body. Express your answer in rad/s and give you answer to 4

Angular Speed, Mass Center, and Unit Vectors

At the instant shown, theta = 45 degrees, and the magnitude of the velocity of point G is v(G) = 16m/s and the angular speed of the disk is 7 rad/s. Point G is the mass center of the disk. The Radius of the disk if R = 0.5m. Determine the magnitude of the velocity of point C at the instant shown. The unit vector i, j, and are t

Coupled harmonic oscillators

Consider two coupled identical harmonic oscillators described by the Hamiltonian H= p1^2+p2^2/2m+1/2mw^2x1^2+1/2mw^2x2^2+gx1x2 1- What is the lowest energy of the system? 2- What is the ground state eigenfunction? 3-What is the energy and the eigenfunction for the first excited state?

Muonic atoms and the size of the nucleus


Identifying Quantum Numbers For Electron

The principal quantum number, n, describes the energy level of a particular orbital as a function of the distance from the center of the nucleus. Additional quantum numbers exist to quantify the other characteristics of the electron. The angular momentum quantum number (?), the magnetic quantum number (m?), and the spin quantu

Quantum Probability of Eigenvalue Measurement


Ratio of Magnetic Moment to Angular Momentum


Hamiltonian Eigenfunctions

1.The following function is one of the Hamiltonian eigenfunctions for the H atom. Is it also an eigenfunction of and ? If so, what are the corresponding eigenvalues? Please see the attached file for the full problem.

solve angular speed based on moment of inertia

An ice skater has a moment of inertia of 5.0 kg-m^2 when her arms are outstretched. At this time, she is spinning at 3.0 revolutions per second. If she pulls her arms in, she decreases her moment of inertia to 2.0 kg-m^2. How fast is she spinning then? Please provide detailed explanation.

Hurricane Pressure Change


Calculating circular velocity and forces

Please see the attached. I'm having a tough time understanding the simple elements of circular motion and the force vectors (horizontal, vertical and normal) that results from this motion. Please explain in simple terms if possible. See attached.

Rotational Motion: Motion of clutch plates when engaged.

See attached file for proper format. A and B are two separate clutch plates. Plate A has a mass of 36 kg, a radius of gyration of 0.12 m and rotates at 660 rev min-1. Plate B has a mass of 45 kg, a radius of gyration of 0.16 m and is stationary. When the clutch plates are engaged, slipping ceases after 0.4 seconds and t

Matrix Representation and Operators




Physics: Earth's acceleration during eclipses; Twin sun system


Angular Acceleration Problems


Why does distance make torque and work different

1. A torque is a product of a force and a distance (lever arm). Work is also the product of a force and a distance. Yet, "torque" and "work" are different. What is it about the distances that make "torque" and "work" different? 2. What is a gyroscope? What does the angular momentum has to do with a gyroscope? Provide examples



Determinig Allowed Radii for the Charged Particle

A Particle of charge q and mass m, moving with a constant speed v, perpendicular to a constant magnetic field B, follows a circular path. If in this case the angular momentum about the center of this circle is quantized so that mvr = 2nh, determine the allowed radii for the particle in terms of n, h, q, and B for n= 1,2,3....



Angular Momentum and Velocity

Calculate the wavelength of the line emitted as n changes from 5 to 3 in the hydrogen atom. What is the angular momentum in the lowest energy state of the Bohr atom? What is the velocity of the electron in the state with n=1?

Physics: Calculate the magnetic moment of the sphere

A sphere of radius a carries a uniform surface charge density sigma. The sphere is centered at the origin and rotates about the z-axis with constant angular velocity omega. Calculate the magnetic moment of the sphere.

Three quantum numbers used to describe orbitals in atoms


Energy Eigenstates of the Hamiltonian


Dynamcis of Rotational Motion

A neutron star has an angular spped of 70.4 rad/s and underwent a "glitch" that increased its angular speed to Ω= Ω0+ Δ;Ω where ΔΩ/Ω0 = 2.01 x 10^-6. If the radius of the neutron star before the glitch was 11 km, by how much did its radius decrease in the glitch - the neutron is a uniform sphere. So far uniform sphere

Physics: Moment of Inertia of disk B

Two disks are rotating about the same axis. Disk A has a moment of inertia of 8.86 kg·m2 and an angular velocity of +8.31 rad/s. Disk B is rotating with an angular velocity of -9.45 rad/s. The two disks are then linked together without the aid of any external torques, so that they rotate as a single unit with an angular velocit

Frictional force, car's airbag, height of the incline


Angular Momentum and Torque

In the figure (please see the attachment), a 0.420 kg ball is shot directly upward at initial speed 37.5 m/s. What is its angular momentum about P, 2.20 m horizontally from the launch point, when the ball is at the following heights? i) at max height, ii) when it is halfway to the ground. Also find the torque on the ball