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What magnitude of the force F applied tangentially to the rotating crank is required to raise the crate with an acceleration of 0.85 m/s^2?
What is the magnitude of the magnetic field due to the displacement current at a radial distance of 2.00 cm?(b) What is it at a radial distance of 5.00 cm?
The energy of a magnetic moment µ in a magnetic field B is equal to their scalar product µ.B. If the magnetic field arises from the orbital angular momentum
Calculate the out of balance torque when the shaft rotates at 1450rpm if the mass of each piston is 350g. Take the central plane of the shaft as reference.
A four wheeled vehicle is to have a total mass of 1.5 tonnes and two axels with its wheels each having a mass of 65kg and a radius of gyration 500mm.
Suppose you know that an electron is in l = 1 state. As usual we refer the total angular momentum by J = L + S.
Consider a Helium atom with two electrons. Suppose you know that one of the electrons is in the l1=3 state, while the other is in the l2 = 2 state.
Explain the concepts of angular momentum and torque with reference to the rotational motion of a rigid body.
Consider a simple harmonic oscillator with an angular frequency w. Suppose at t=0 it is in a state given by:
The tub of a washer goes into its spin-drycycle, starting from rest and reaching an angular speed of 7.8 rev/s in 3.4 s.
An electron is trapped in an infinite potential well with L = 2nm. Suppose the wave function of the electron is given: (see attachment for wave function)
Calculate the expectation values , , and for the ground state, | 0 >, and the first excited state, | 1 >, of the harmonic oscillator.
Rigid rod OA is 2 ft long and rotated around fixed pt O. This rod is pinned at A to rigid connecting rod AB, 6 ft long, which in turn is pinned at B to piston C
Consider the state of a harmonic oscillator initially (t=0) to be given by |phi >= 5|0 + 12| 1>.
A boeing 747 jet with 385 people cruising 39000 ft travels 280 yds on gallon of fuel. How many gallons will it need to travel 2000 km.
An electron with amass of 9.11*10 -31 kg has a velocity of 4.3*10 6m/s in the innermost orbit of a hydrongen atom. What is the de Broglie wavelength
The wheel of a motor, accelerated uniformly from rest, rotates through 2.5 rad during the first second. Find the angle rotated during the next second.
Show mathematically how two 3rd-class levers joined together in a series increase angular velocity versus using a single 3rd-class lever.
A ceiling fan has one red blade. Initially rotating in a counterclockwise (positive direction) with angular velocity Wo= +30 radians per second.
In the dirac notation for a quantum state of a system, an eigenstate wave function u_n is replaced by the vector |n>, and a general state wave function ?
Determine the principal stresses and the maximum shear stress at the bearings (ie locations B and D) and also at the mid-spindle position.
How fast (in rpm) must a centrifuge rotate if a particle 8.06 cm from the axis of rotation is to experience an acceleration of 79000 g?
A chandelier suspended from the ceiling swings out to an angle of 15.7 degrees throughout the turn. What is the speed of the train?
A 243 N sphere 0.199 m in radius rolls, without slipping, 6.06 m down a ramp that is inclined at 36.9° with the horizontal.
It is given a tiny push. What will be the speed of the upper end of the pole just before it hits the ground? Assume the lower end does not slip.