Mathematical expressions describe two situation involving vi

Mathematical expressions describe two situation involving vibrational motion. Provide all the details for these situations.
a)

sketch a situation the equation might describe and write in words a problem for which the equation is a solution.
b)

sketch a situation the equation might describe and write in words a problem for which the equation is a solution

(1/2) (20,000 N/m) (0.20 m (1/2) (100 kg) (20,000 N/m) (0.10 m)

Solution

a) A mass of 100 kg is attached to a spring and is experiencing a displacement of 0.1m. A force is exerted on the mass attached to the spring with the change in displacement \"v\". Determine the total spring energy that the system absorbes assuming the spring constant to be 20KN/m and the final displacement of the spring is 0.2m

b) A spring mass system has mass 100kg freely suspended and is oscillating. The spring undergoes a displacment of 0.4m under the load of the system while the stiffness of the spring is \"k\" (assume any value for k).The frequency of the oscillation of the spring mass system is 0.2 Hertz, find the change in displacement is maximun \'v_max\' for the system.