Can I get the solution for these Engineering physics problems? specifically the subject is Classical Mechanics.

Textbook (needed): Classical Dynamics of Particles and Systems 5th Ed., by S.T. Thornton and J.B. Marion, Cengage Learning 2012.

The potential energy for a particle of mass m moving in one dimension is given by U(x) = Uo(x2 - a2)2, where Uo and a are positive constants. a. Write an expression for the force, F(x), acting on the particle at any given position. b. Identify all equilibrium points, and for each one state whether it is stable or unstable. c. Briefly describe the motion of the particle if it has a total energy of E = =U.at and it is located near one of the stable equilibrium positions. Does it remain near the equilibrium position? Does it undergo oscillatory motion? If so, find the frequency.The force acting on a particle is given by F(x, y, z) = (-202 *3 , *2 , bz) where a and b are positive constants with units such that F is in Newtons if x, y and z are in meters. a. Show that F is conservative. b. Find the potential, U(x, y, z) (set the additive constant term equal to zero). c. Calculate the work done by F in moving the particle from (2, 2, 2) to (1,1,1) (positions given in meters) along any path between those two pointsr . V \"WWW . 7___._._____.____.___.._.__ z; p A one-dimensional underdamped harmonic oscillator consists of a 2.0 kg mass attached to a spring with force constant 5%: and subject to a velocitydependent damping force. The velocig of the 2.0 kg mass at any time (in units of meters per second) is: v(t) = (153 m/s) -e'(35'1't) cos(4$'1 - t) a. inspect the given expression for v(t) to determine the natural frequency, mg, for the corresponding undamped oscillator b. Write down the equation of motion for the mass. This should be a homogeneous second order linear differential equation. Replace all generic notation with numerical values, which can be determined by inspection of v(t) given above. c. Write an expression for the damping force as a function of time. Replace generic notation with numerical values (note that mass if given). d. Write an expression for the rate of energy loss as a function of time. (Note, this will be much simpler than the general expression derived for HW)