19.8. consider the simple harmonic oscillation where the force constant is 19.6n/m.
x = -(0.100m) cos8.081, and v = (0.808 m/s) sin 8.081, determine: (a) the total energy, (b) the kinetic and
potential energies as a function of time, (c) the velocity when the mass is 0.050 m from equilibrium.
(d) the kinetic and potential energies at half amplitude (x = = a/2).

Along wire of diameter 1 mm is submerged in an oil bath of temperature ∞ 31°c. the wire has an electrical resistance per unit length of 0.01 ω/m. if a current of 103 a flows through the wire and the convection coefficient is 500 w/m2·k, what is the steady-state temperature of the wire? from the time the current is applied, how long does it take for the wire to reach a temperature that is within 1°c of the steady-state value? the properties of the wire are 8000 kg/m3, 500 j/kg·k, and 20 w/m·k.