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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 meter stick lies on the bottom of a 100 cm long tank with its zero mark against the left edge. You look into the tank at a 30 angle, with your line of sight just grazing the upper left edge of the tank.
Charge Q = 10E-8 C is placed in the origin. Location A is -3.00m from the charge while location B is 2.00m from the charge. A) Find the potential difference VB - VA between the two points. B) Which point is at the higher potential? Type either "Po..
A thin layer of magnesium fluoride (n = 1.38) is used to coat a flint-glass lens (n = 1.61). What atleast thickness should the magnesium fluoride film have if the reflection of 669 nm light is to be suppressed? suppose that the light is incident a..
A spring with constant k=15 N/m hangs from the ceiling. A ball is attached to the spring and allowed to come to rest. it is then pulled down 6 cm and free. if the ball makes 30 oscillations in 20 seconds, what are its maximum speed.
An opera singer in a convertible sings a note at 600 whereas cruising down the highway at 81. What is the frequency heard by a person standing beside the road in front of car? What is the frequency heard by the person standing beside the road behi..
A cylinder of gas at room temperature (20°C) has a pressure p1. To what temperature in degrees Celsius would the temperature have to be increased for pressure to be 2.7p1.
A m1 = 14.50 kg object and a m2 = 10.00 kg object are suspended, joined by a cord that passes over a pulley with a radius of 10.00 cm and a mass of 3kg.
Suppose a tank contains 770 m3 of neon (Ne) at an absolute pressure of 1.01×105 Pa. The temperature is changed from 293.2 to 295.6 K. What is the increase in the internal energy of the neon?
A simple pendulum in a science museum entry hall is 3.51m long, has a 1.25kg bob at its lower end, and swings with an amplitude of 10.50 degrees. How much time does the pendulum take to swing from its extreme right side to its acute left side.
An orienter runs the following course: 100 m at 35 degrees, 150 m at 220 degrees, and 50 meters at 170 degrees. find the resultant displacement.
A small object with a mass of 380 mg carries a charge of 35.0 nC and is suspended by a thread between the vertical plates of a parallel-plate capacitor. The plates are separated by 5.00 cm. If the thread makes an angle of 12.0° with the vertical, ..
When its 75kW engine is generating full power, a small single engine airplane with a mass of 700 kg gains altitude at a rate of 2.5 m/s. what fraction of the engine power is being used to make the air plane climb.
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