Consider the undamped spring mass system (b = 0): y" + y = 0 a.) Suppose a system has a spring constant of 35 N/m and a mass of 7 kg. Find the solution to this system that satisfies y(0)=0.5 and y'(0)=0.2. Be sure to go through the entire guess process and derive the solution by showing all work. In other words, do not simply state the solution, but show you know how to get there. (You can round to two decimal places, e.g., 19.3453 = 19.35) b.) How long will it take for the spring-mass system to complete 3 full oscillations? c.) Let's suppose you can adjust the size of the mass for a spring constant of 35 N/m. You need to find m such that the oscillation frequency is 2 cycles per second (recall frequency is how many full oscillations occur per unit of time). What size mass should be used and why?

Consider the undamped spring mass system (b = 0): y" + y = 0 a.) Suppose a system has a spring constant of 35 N/m and a mass of 7 kg. Find the solution to this system that satisfies y(0)=0.5 and y'(0)=0.2. Be sure to go through the entire guess process and derive the solution by showing all work. In other words, do not simply state the solution, but show you know how to get there. (You can round to two decimal places, e.g., 19.3453 = 19.35) b.) How long will it take for the spring-mass system to complete 3 full oscillations? c.) Let's suppose you can adjust the size of the mass for a spring constant of 35 N/m. You need to find m such that the oscillation frequency is 2 cycles per second (recall frequency is how many full oscillations occur per unit of time). What size mass should be used and why?