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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?
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.
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.
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
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.
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.
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.
A solid, horizontal cylinder of mass 10.4 kg and radius 1.13 m rotates with an angular speed of 6.81 rad/s about a fixed vertical axis through its center.
A wheel of radius 0.20 meters is mounted on a frictionless horizontal axis. The rotational inertia of the wheel about the axis is 0.050 kgm^2.
Recall that a 1-D delta-function potential well of the form V (x) = -B delta(x) had exactly one bound state, with a double-tailed exponential wave function.