1. Consider Hooke's law, which describes the force (F, measured in Newtons) exerted by a spring on an object attached to its free end, and is proportional to the spring's change in length (x, measured in meters) away from its equilibrium. The spring constant k measures the spring's stiffness. F = -kx Use the Problem-Solving Framework and the Symbolic Mathematics capabilities of MATLAB to solve the problem below. The written answers of the problem-solving framework can be added as comments in your script (remember, state the problem, describe inputs and outputs, and your algorithm for solving the problem). Let F= 0.3 N and x = 0.05 m. What is the spring constant of this spring?

I am having a hard time finding the meaning of what T2 is in the equation. Do I just square the T or do something else? Thanks for the help in advanced.

For Parts I and II, use the pendulum equation and solve to predict the length needed for a pendulum with a period of 1 s and 2 s respectively. Use a piece of string (or thread, dental floss, shoe lace, etc.) and a steel nut (or washer or something small but with enough mass to weigh down the string) to build each pendulum. Time each pendulum for 30 periods and then find the average time for one period. Remember, a period is the time to complete one cycle of motion, out and back. Tape each pendulum up in perhaps a doorway where it is stationary and has room to swing. Be precise with your measuring and timing. Show your work. Part I Given: T = 1.00 s l =? Part II Given: T = 2.00 s l =?

Do number 2