Problem #4-Baseball vs. Cricket vs. Jai Alai (10 pts total) The pitching (bowling) styles of baseball, cricket, and Jai Alai vary greatly. Baseball achieves 90 elbow at maximum torque, cricket bowling has a straight elbow at ball release (0 elbow flexion), and Jai Alai uses an implement called a Cesta. 1. If the same person pitched using all three styles with the same force and relative angle, what would the ratio of torques be at the shoulder assuming forearm length of 48cm, upper arm length length of 76.2cm (2 pts)? 30.5cm, and cesta 2. Assuming every pitching style achieved a torque of 90Nm, what would the force required be for each pitching style (3 pts)? 3. Now, assume the force and radius are not perpendicular to one another (i.e. not 90). For each sport, what angle between the radius and force would have occurred to achieve a torque magnitude of 75Nm (3 pts)? What direction are the torques? (2 pts) Problem #3: History Maker (13 pts total) Sunisa "Suni" Lee made history in Tokyo as the first Hmong American to be named to the Olympic team. She then blew us all away by winning the all-around gold, team silver, and bronze in the uneven bars. During her uneven bars performance, she is well known for completing a Nabieva skill (shown below), a skill in the most difficulty category in gymnastics. 1. During this skill, the velocity of her center of gravity is traveling at 2.1m/s. If Suni's mass is 50.8kg, what is her kinetic energy during this skill (2 pts)? 2. After releasing the bar, Suni reaches a height of 3.75m above the ground. What is her potential energy (2 pts)? 3. Immediately prior to releasing the bar to complete the skill, Suni's body stretches 9cm. What is her strain energy if her body's stiffness is 3.4kN/m (2 pts)? 4. What is her total mechanical energy (1 pt)? 5. At the point of release, her COG of is 0.95m from the axis of rotation. The standard uneven bar height is 2.4m above the ground. When Suni completes the move and grabs the bar the bar displaces by 0.5m, how much force does her body experience (3 pts)? How much torque does her body experience (3 pts)?