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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.]
An object is placed 100 cm in front of a lens of focal length 20 cm. A second lens is placed 35 cm beyond the first, what is the height of the final image
A 0.300-kg puck, initially at rest on a horizontal, frictionless surface, Determine the velocity of the 0.300-kg puck after the collision
What current flows through a 2.54 cm diameter rod of pure silicon that is 19.0 cm long, when 1000 V is applied to it
A 15,000 kg F-18 (jet fighter) lands at 50 m/s on an aircraft carrier, its tail hook snags the cable to slow it down. The cable is attached to a spring with a spring constant of 62,000 N/m. How far does the spring stretch to stop the jet?
The generator at a power plant produces AC at 24000 V. A transformer steps this up to 345,000 V for transmission over power lines. how many turns must there be in the output coil
A force vector points at angle of 47 degrees above the +x axis. It has a y component of 287 Newton's. Find the magnitude of the force vector
What are the advantages of placing capacitors in parallel?What are the disadvantages? What are the advantages of placing capacitors in series? Whatare the disadvantages?
What is the maximum speed of the ball.
There are many evaluates of the number of stars in the universe. evaluate how many stars there are in the universe. It perhaps goes without saying
A college Student went to an amusement park where they rode a ridecalled the rotor. It is essentially a large, hollow cylinder thatis rotated rapidly around its central axis. What minimum velocity must the cylinder and rider have
Two connected blocks are pulled across a horizontal, frictionlesssuface, as shone in the figure. If the acceleration of both massessis 4 m/s^2, find the tensions in both strings. Let= 2 kg and= 3 kg.
A certain part of an aircraft engine has a volume of 2.3 ft3. Determine the weight of the piece when it is made of lead
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