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A 1-dimensional rod 2 meters long of mass 60 grams uniformly distributed has an axle through its midpoint allowing the rod to rotate in a vertical plane.
Identify five examples of torque in human activity, and identify the force and moment arm associated with the torque.
Assuming that no net external torque acts on the system of carousel and baggage, find the final angular speed.....rad/s
What is a given a = 0.365 [ms-2] and diameter of disk with uniform mass distribution = 19.1 [cm].
The Moon is centripetally accelerating towards the Earth. Explain why it is not getting closer to the Earth.
What are the principal stresses at the critical stressed element located at the wall and on the outer surface of the beam, due to the applied forces?
A uniform meter stick swings about a pivot point which is a distance x = 27.4 cm from the end of the stick. What is its period of oscillation?
A wood cylinder of mass m = .250 kg and length L=.100m, with N =10.0 turns of wire wrapped around it longitudinally, so that the plane of the wire coil.
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.