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Here is an unusual way to solve the two-dimensional isotropic oscillator -- the motion of a particle subject to a force -.
Show that by choosing a suitable rotating reference frame, you can arrange that the centrifugal force exactly cancels the force .
Recalling the analogy between the Coriolis and magnetic forces, you should be able to write down the general solution for the motion as seen in the rotating frame.
If you write your solution in the complex form of Section 2.7, then you can transform back to the nonrotating frame by multiplying by a suitable rotating complex number.
Show that the general solution is an ellipse. [See Problem 8.11 for some guidance on this last part.]
A car with a mass of 2000 kg is moving east at 24 m/s. It collides with a truck that weighs 3200 kg moving north at 14 m/s. What is the velocity of the vehicles after the impact
a series circuit contains only a resistor and an inductor. the voltage v of the generator is fixed. if r 16 ohms and
A turntable rotates counterclockwise at 78 rpm. A speck of dust on the turntable is at 0.45 rad at t=0, Determine the angle of the speck at t = 8.0 second
Express your answer to two significant figures and include the appropriate units.
A heavy crate is attached to the wall by a light rope. Another rope hangs off the opposite edge of the box. If you slowly increase the force on the free rope by pulling on it in a horizontal direction, which rope will break? Ignore friction and th..
A fire hose ejects a stream of water at an angle of 35.8 ° above the horizontal. how far from a building should the fire hose be located to hit the highest possible fire
Sally expends 10320 J of energy to drag a wooden crate 24.7 m across a floor with a constant speed. The rope makes an angle of 48.0° with the horizontal. How much force does the rope exert on the crate
A planet's moon travels in an approximately circular orbit of radius 6.6 x10^7 m with a time of 7 h 9 min. Calculate the mass of the planet from this information.
a horizontal uniform bar of mass 2kg and length 3.0 m is hung horizontally on two vertical strings. string 1 is
In her bathroom, Mindy has an overhead heater that consists of a coiled wire made of nichrome that gets hot when turned on. The wire has a length of 2.3 m when it is uncoiled. What is the resistance of the heater when it is turned on
A laser beam of wavelength 680 nm shines through a diffraction grating that has 750 lines/mm and observed on a screen 1.4 m behind the grating. How many bright fringes can be observed on a screen?
A particle initially located at the origin has an acceleration of = 2.00 m/s2 and an initial velocity of i = 8.00 m/s. Find the vector position of the particle at any time
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