In 2021, Major League Baseball (MLB) pitchers implemented a…

In 2021, Major League Baseball (MLB) pitchers implemented a policy to suspend pitchers who were caught using substances on their fingers to improve their grip on the baseball and the spin rate (spin velocity). Explain why “some” pitchers used the foreign substances on their fingers using the concept learned in class. 

The volleyball player is now landing after hitting the ball….

The volleyball player is now landing after hitting the ball. Describe how you can calculate the average landing force that acted on the body during landing (i.e., from the time of initial contact with the ground to the end of downward motion) using the work-energy relationship. Make sure to provide your answer in complete sentences and explain your answer clearly to receive a full credit. 

A mass M is connected to a spring with constant Ks and a dam…

A mass M is connected to a spring with constant Ks and a damper with constant Kd, and is moving with displacement x with friction Kf. Assume the input if the force f. Find the model of the following mass-spring-damper systems in the state space (find the matrices B). 

A mass M is connected to a spring with constant Ks and a dam…

A mass M is connected to a spring with constant Ks and a damper with constant Kd, and is moving with displacement x with friction Kf. Assume the input if the force f. Find the model of the following mass-spring-damper systems in the state space (find the Newton’s Dynamic Equation).