For a certain oscillator the n

For a certain oscillator the net force on the body with mass m is given by F. = -ex.
(a) What is the potential energy function for this oscillator if we take U = 0 at x = O?
(b) One-quarter of a period is the time for the body to move from x = 0 to x = A. Calculate this time and hence the period. [Hint: Begin with Eq. (13.20), modified to include the potential-energy function you found in part (a), and solve for the velocity v. as a function of x. Then replace v, with dx/dt. Separate the variable by writing all factors containing x on one side and all factors containing t on the other side so that each side can be integrated. In the x-integral make the change of variable u = X/A. The resulting integral can be evaluated by numerical methods on a computer and has the value Jdu/~ = 1.31.J
(c) According to the result you obtained in part (b), does the period depend on the amplitude A of the motion? Are the oscillations simple harmonic?

Solution:

15% off for this assignment.

Our Prices Start at $11.99. As Our First Client, Use Coupon Code GET15 to claim 15% Discount This Month!!

Why US?

100% Confidentiality

Information about customers is confidential and never disclosed to third parties.

Timely Delivery

No missed deadlines – 97% of assignments are completed in time.

Original Writing

We complete all papers from scratch. You can get a plagiarism report.

Money Back

If you are convinced that our writer has not followed your requirements, feel free to ask for a refund.