A 1/4-kg mass is attached to a spring with stiffness 8 N/m. The damping constant for the system is 1/4N-sec/m. If the mass is moved 1 m to the left of equilibrium and released, what is the maximum displacement to the right that it will attain?

t Eg=15N and Eo=l", Find Fymn The Smallest Possible Vahek Of minj ty in N Find Fxmar The largest possible Value or Fx, in N max

(3) The natural independent variables for U are (S, V), from dU = TdS – pdV. U = U(S,V) (), instead. Show that U = U (V,T) leads to a much more complicated expression for p, namely gives simple expressions for T and p as T = and ().: Suppose you use (V,T) p = - V dT + f(V), %D T where f (V) is an unknown function of V.