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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.
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.
What is the rotational inertia of the rotor assembly about the axis of rotation? (Each blade can be considered to be a thin rod rotated about one end.)
Does a centripetal force that acts on an object rotating in a circular path do work on an object?
An angular momentum system is prepared in the state
A 38-mH inductor stores 4.0 x 10^-5 J when carrying a dc current. What is the magnitude of that current?
Consider a cubic infinite potential well of length L. (Assume that the particle is confined to stay withing 0 and L in all the directions.)
Suppose the ring rotates once every 4.70s. If a rider's mass is 52.0kg, with how much force does the ring push on her at the top of the ride?
Let p, f, z be the cylindrical coordinates of a spinless particle (x = p cos f, y = p sinf; p = 0, 0 =f < 2?). Assume that the potential energy of this particle
A spring scale on a rotating platform indicates that the horizontal force on a 0.452 kg mass is 1.34N when the mass is 2.37m from the axis of rotation.
A helicopter blade has an angular speed of 6.50 rev/s and an angular acceleration of 1.30 rev/s^2.
Calculate the moment of inertia tensor for a solid hemisphere for rotation about its center of mass.
The cart wheels are in the corners, it is rated to carry 3600 pounds and weights 114 pounds. If the compressor is placed centered on the cart .
A star rotates about its axis through a diameter once in 50 days. At the end of its life the star collapses to one hundredth of its orginal diameter.
Assume that the spacecraft can be approximated as a long, uniform thin rod, ignoring the irregularities in shape at the nose and the tail.
At what radial “distance” v from the origin of velocity space is the “density” of representative points one-half as great as at the origin.