2. The spring constant (or stiffness) of the spring is k-2000 kN/m. Ignore the self-weight of the spring and damping. (1) Calculate the deflection of the spring if a weight W=100 kN is slowly applied to the top of the spring, i.e., the weight is treated as a static load. (2) If the weight is dropped onto the top of the spring from a height h, the suddenly applied weight must be considered as a dynamic load, which is expressed as a function of time t as P(t) = {100 t < 0 t≥ 0 KN For the given coordinate system, assume height h=0, i.e., the initial conditions are u(0)=0 and ù(0)=0 for the vibration of the weight (its mass is m=W/g-100/9.81-10.2 kN-s²/m). U m k

2. The spring constant (or stiffness) of the spring is k-2000 kN/m. Ignore the self-weight of the spring and damping. (1) Calculate the deflection of the spring if a weight W=100 kN is slowly applied to the top of the spring, i.e., the weight is treated as a static load. (2) If the weight is dropped onto the top of the spring from a height h, the suddenly applied weight must be considered as a dynamic load, which is expressed as a function of time t as P(t) = {100 t < 0 t≥ 0 KN For the given coordinate system, assume height h=0, i.e., the initial conditions are u(0)=0 and ù(0)=0 for the vibration of the weight (its mass is m=W/g-100/9.81-10.2 kN-s²/m). U m k