A mechanical system has two inputs: force () is applied to mass m and displacement x() is applied to one end of damper c. Output y() is the displacement of mass m. a) Derive a differential equation of motion (EOM) for the system. Start with complete and accurate free body diagrams. b) Using the Laplace transform, express a transfer function for each input [both () and x()].

Agroup of students were investigating the force of gravity. they began by dropping a foam ball from a height of 3 meters into a bucket of sand. the ball hit the sand in 0.306 seconds. they dropped additional balls of approximately the same diameter, but of different masses. here is the data they collected. based on this experiment and the collected data, what would their conclusion be?