The angle of twist for a circular shaft subjected to a twisting moment is given bythe equation 0 = TL/GJ. What are the dimensions of J if 8 is an angle in radians,Tis the moment of a force, Lis a length, and G is a force per unit area?

A guy who works out at your gym found out that you are an engineer and has hired you do an analysis comparing two versions of a similar exercise: lateral raises. He wants to compare using dumbbells (as in Fig 1) versus using a cable machine (as in Fig 2). Develop an equation for each case for the moment about the shoulder as a function of angle. (0 to 90 horizontally) You will use your own dimensions for this analysis. You will need to measure: Arm length from shoulder joint to palm of your hand Height from shoulder joint to the ground Wingspan with arms held horizontally (palm-to-palm) You can use any measurements for the dimensions, just need the equations and FBD Fig 1: Dumbbell Lateral Raises Fig 2: Cable Lateral Raises

L=9m W=5kN/m 360 UB 50.7

Please can you answer with working out and label each part