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Q. A string is wrapped around a uniform solid cylinder of radius r. The cylinder can rotate freely about its axis. The loose end of the string is attached to a block. The block and cylinder each have mass m. Note that the positive y direction is downward and counter clockwise torques are positive. Determine the magnitude alpha of the angular acceleration of the cylinder as the block descends.
Express your reply in terms of the cylinder's radius r and the magnitude of the acceleration because of gravity g.
A ski jumper has 1.2 ´ 10 J of potential energy at the top of the ski jump. The friction on the jump slope is small, but not negligible. What can you end about the ski jumper's kinetic energy at the bottom of the jump.
throughout the process the mechanical device pushing the piston to compress gas is found to expend 4 kJ of energy. What is the magnitude of the heat flow between heat reservoir and the gas and in what direction does the heat flow occur.
A horizontal uniform bar of mass 2.9kg and length 3.0 m is hung horizontally on two vertical strings. String 1 is attached to the end of the bar, and string 2 is attached the distance 0.74 m from the other end.
Consider the conical pendulum with an 80.0 kg bob on a 10.0 m wire making an angle of 5.00 with the vertical as shown. Determine (a) horizontal and vertical components of the force exerted by the wire on the pendulum and (b) radial acceleration of th..
A hydraulic lift consists of two pistons that connect to each other by an incompressible fluid. If one piston has an area of 0.49 m^2 and the other an area of 6.2m^2, how big a mass can be raised by a force of 220N exerted on the smaller piston.
A car with a mass of 1.50x10^3 kg starts from rest and accelerates to a speed of 18.0 m/s in 12s. Assume that the force of resistance remains constant at 400-N all through this time. What is the average power developed by the car's engine?
A long, narrow rectangular loop of wire is moving toward the bottom of page with a speed of 0.025 m/s. The loop is leaving a region in which a 2.1 T magnetic field exists; magnetic field outside this region is zero. All through the time of 1.0 s, wha..
The drawing shows an edge-on view of two planar surfaces that intersect and are mutually perpendicular. Surface 1 has an area of 2.2 m2, while surface 2 has an area of 3.5 m2.
Find out the critical angle theta_ce for e-waves in calcite. The index of refraction for light with electric field parallel to the optical axis (called extraordinary waves or e-waves) is 1.4864. The index of refraction for light with electric fiel..
Radioactive isotopes frequently occur together in mixtures. Assume a 400g sample contains, with a half-life of 12 days, and, with a half-life of 4.5 days. If there are firstly twice as many calcium atoms as there are barium atoms, what will be the ra..
Consider a closed triangular box resting within a horizontal electric field of magnitude E = 7.40x10^4 N/C, below.
A cement block accidentally falls from rest from the ledge of a 74.8-m-high building. When the block is 18.4 m above the ground, a man, 2.10 m tall, looks up and notices that the block is directly above him. How much time, at most, does the man have ..
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