Friday
August 1, 2014

Homework Help: Physics

Posted by Shashanoid on Monday, November 4, 2013 at 7:10am.

An object of mass m=80 kg moves in one dimension subject to the potential energy

U(x)=λ4(x2−a2)2+b2x2.(1)

Here we use λ= 6 kg/(m2s2), a= 4 m, and b= 36 kg/s2.


------ then ,

(b) Find a stable equilibrium point x0 such that x0 is positive. (in meters)

x0=

unanswered
(c) Do a Taylor expansion of the force F(x) for x close to the equilibrium point, x≃x0, that is F(x)=F0−k(x−x0)+ What are the values for F0 (in Newton) and k (in kg/s2)?

hint: For help on using Taylor series to express the potential energy function near a stable minimum, we encourage you to look at the following page in the section on small oscillations:here

F0=

unanswered
k=

unanswered
(d) What is the period T of small oscillations (in seconds) of this mass around the equilibrium point x0? (Note that the parameter k found in the previous question acts like a spring constant that wants to pull small deviations back to the equilibrium point)

T=

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

physics - A distance of 1 m separates two objects, one with a mass of 2 kg and ...
physics(URGENT!!!!!) - An object of mass m=80 kg moves in one dimension subject ...
physics - A 4.55 kg object is released from rest while fully submerged in a ...
physics - A 190 kg object and a 490 kg object are separated by 0.400 m. At what ...
physics! Need help badly - A 4.65 kg object is released from rest while fully ...
physics - An object experiences an impulse, moves and attains a momentum of 200 ...
physics - two campers dock a canoe. one camper steps onto the dock. this camper ...
Physics - An object moves along the x axis, subject to the potential energy ...
Physics - An object moves along the x axis, subject to the potential energy ...
Physics (my last problem) - A 3.4 kg ogject to the right at 3.5 m/s hits a ...

Search
Members