Assignment:
A projectile of mass m = 10 kg traveling with the velocity v = 50 m/s strikes and becomes embedded in a massless board supported by a spring of stiffness k =.6.4 x 104 N/m in parallel with a dashpot with the coefficient of viscous damping c = 400 N . s/m (Fig.). Determine the time required for the board to reach the maximum displacement and the value of the maximum displacement.
Provide complete and step by step solution for the question and show calculations and use formulas.