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An object of mass M is attached to a spring with spring constant k whose unstretched length is L, and whose far end is fixed to a shaft that is rotating with angular speed omega. Neglect gravity and assume that the mass rotates with angular speed omega as shown. (Intro 1 figure) When solving this problem use an inertial coordinate system, as drawn here. (Intro 2 figure) Given the angular speed omega, find the radius R(omega) at which the mass rotates without moving toward or away from the origin.
Express the radius in terms of k, L, M, and omega.
A 0.50 kg ball that is tied to the end of a 1.30 m light cord is revolved in a horizontal plane with the cord making a 30° angle, with the vertical. If the cord can withstand a maximum tension of 9.5 N, what is the highest speed at which ball can ..
what is the final position of the man. What is the magnitude of the electric field (in N/C) at the point (-2.0 m, 3.0 m).
How might a magician make the Statue of Liberty disappear? Imagine that you are sitting with some spectators on a circular platform that, unknown to all of you, can rotate very slowly. It is evening, and you can see the Statue of Liberty a short dist..
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In the last seconds of the championship basketball game, a 7 ft center's team is down by 2 points. He must make a 3 point shot to win the game. He is standing on the 3 point shot line.
A grindstone of radius 4 m is initially spinning with an angular speed of 8 rad/s. The angular speed is then increased to 10 rad/s over the next 4 seconds. Imagine that the angular acceleration is constant.
A proton travels with the speed of 8.34×105 m/s at an angle of 32.3° with the direction of a magnetic field. The field exerts a force of 3.00×10-17 N on the proton. What is the strength of the field.
A 41 kg crate, starting from rest, is pulled across a floor with the constant horizontal force of 250 N. For the first 10m the floor is frictionless, and for the next 11.00 m the coefficient of friction is 0.17. What is the final speed of the crat..
A certain loudspeaker has a diameter of 45 cm. At what frequency would the wavelength of sound it emits in air be equal to its diameter.
A 54 N crate is suspended from the left end of a plank. The plank weighs 21N, but it is not uniform, so its center of gravity does not lie halfway between the two ends. The system is balanced by a support that is 0.3m from the left end of the plan..
A toy train is pushed forward and released at xi = 1.60 m with a speed of 2.60 m/s. It rolls at a steady speed for 1.30 s, and then one wheel begins to stick. The train comes to a stop 6m from its starting point. What is the train's acceleration a..
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