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a rectangular thin plate of mass M and sides of length a= 2m and b= 3m, spins with constant angular velocity w=500 rad/s about an axis along the diagonal of the plate. what are the principle moments of inertia of the plate? Find the components, along the principle axes of the plate, of the torque acting on the plate. (hint: use euler's equations).
In a skating stunt known as "crack-the-whip," a number of skaters hold hands and form a straight line. find the magnitude of the centripetal force that acts on him
A singly charged ion of unknown mass moves in a circle of radius 14cm in a magnetic field of 8.2 T. The ion was accelerated through a potential difference of 9kV before it entered the magnetic field.What is the mass of the ion.
A "swing" ride at a carnival consists of chairs that are swung in a circle by 19.3 m cables attached to a vertical rotating pole, Find the speed of the chair
During a daytime football game you notice that a player's reflective helmet forms an image of the Sun 4.6cm behind the surface of the helmet. What is the radius of curvature of the helmet
It has been suggested that rotating cylinders about 12 mi long and 5.1 mi in diameter be placed in space and used as colonies. What angular speed should such a cylinder have so that the centripetal acceleration at its surface equals free-fall acce..
A small object with mass 0.200 kg moves with constant speed in a vertical circle of radius 0.500 m. What is the translational speed of the object
In a piston-cylinder assembly, 20 KJ of boundary work is being done on the piston. determine the axial displacement of the piston
Calculate the inductance of an LC circuit if the resonance frequency is 240 Hz. The capacitance is equal to 2.6e-05 F. Show your work
What is wavelength of the X-ray photon
A 3.2 kg block is hanging stationary from the end of a vertical spring that is attached to the ceiling. What is the elastic potential energy of the system
A circular coil of wire with 54 turns and a radius of 45 cm is laying flat on a horizontal table, compute the magnitude of the magnetic flux through the coil
A 3.91-kg fish swimming 2.13 m/s swallows an absent-minded 6.81-kg fish swimming toward it at a velocity, What is the velocity v of the smaller fish before lunch
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