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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 boat takes 3.30 hours to travel 40.0 km down a river, then 5.00 hours to return. How fast is the river flowing
A parallel-plate capacitor in air has a plate separation of 1.49 cm and a plate area of 25.0 cm2. Determine the change in energy of the capacitor
Particles of charge +75, +48, and - 85 are placed in aline.The center one is 0.35m µC from each of the others. Calculate the net force on each charge due to the other two
A lump of mass 1.0 kg falls on it and sticks to the surface at a distance 0.7 m from the center. a) calculate the new angular speed of the disc b) if the lump gets unstuck and rolls of the disc.
Determine the capacitance of a parallel plate capacitor if the area of each plate is 0.12 m2, the separation of the plates is 2 millimeter
find the resistance of the following. power ratings are based on the assumption of a potential difference of 120 v rms
A particle has an acceleration of 6.19 m/s^2 for 0.350 s . At the end of this time the particle's velocity is 9.26 m/s What was the particle's initial velocity?
A uniform rod is 3.0m long. the rod is pivoted about ahorizontal, frictionless pin through one end. what is the angular speed of the rod as it passes through the horizontal position
An initially motionless test car is accelerated uniformly to 1.20 × 102 km/h in 8.68 seconds before striking a simulated deer. The car is in contact with the faux fawn for 0.455 seconds, after which the car is measured to be traveling at 65.5 km/h..
A horizontal force of magnitude 35N pushes a block of mass 4.0 Kg across a floor where the coefficient of kinetic friction is 0.6. What is the increase of kinetic energy of the block?
An object is placed 20.5{\rm cm} from a screen, find the magnification of the image for each position of the lens
What is the Brewster angle? What is the polarization of the reflected wave for an elliptically polarized wave incident on a dielectric interface at the Brewster angle? Discuss an application of the Brewster angle effect.
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