. Consider a particle with the an equation of motion I 26.xax = 0, where B anda are positive constants. The particle starts at rest from a position >0 Determine the natural frequency wo. (a) Write down the auxiliary equation corresponding to the above homoge- (b) neous linear differential equation and obtain the general solution æ(t) for strong damping B >wo. Sketch x(t) vs. t and the phase space diagram x(t) vs. (t) for the given (c) initial conditions.

. Consider a particle with the an equation of motion I 26.xax = 0, where B anda are positive constants. The particle starts at rest from a position >0 Determine the natural frequency wo. (a) Write down the auxiliary equation corresponding to the above homoge- (b) neous linear differential equation and obtain the general solution æ(t) for strong damping B >wo. Sketch x(t) vs. t and the phase space diagram x(t) vs. (t) for the given (c) initial conditions.