Shown below is a torsion bar with a torque applied a distance L1 from one end. Th two ends are fixed rigidly. The two segments of the bar are different diameters, bu made of the same material, in effect creating two torsion bars. If L1=0.4L and th ratio angle/length for the two bars is the same, determine the ratio of the diameters.

Simple Machines-Levers, Inclined Planes, and Pulleys Directions: Use the appropriate equation to answer the following questions. All answers should be recorded below or in your Engineering Design journal. Remember to show all work. A lever has an effort arm that is 5 meters long and a resistance (load) arm that is 3.5 meters long. How much effort is needed to lift a 100 Newton weight? 5K i). Draw the figure representing the problem ii). How much effort is needed to lift a 100 Newton weight? iii). What is the Actual Mechanical Advantage 1. 5m i) AOON 5-5m

P-4 Please I need help with this question needed very clearly and step by step explanation and needed with clear handwriting please, will be really appreciated for your help

1. “The grain size of metal sheet influences its formability in two opposing ways. The yield strength of a metal increases as the grain size decreases. So, the formability of a component may decrease if the grain size gets too small. Larger grained metals have better formability, but the roughened surface that results from stretching metal with grain sizes that are too large is unacceptable for many applications. During a recrystallization anneal new grains form in the metal. The final grain size depends on the annealing temperature and annealing time.” As shown in the figure below (1"x1" area under a 50Xmagnification microscope), a cold-rolled metal has been annealed at 550 degrees C for one hour. Calculate the ASTM Grain Size Number for the following condition: image attached

Topics: Statics of Rigid Bodies, Equilibrium of Rigid Bodies, Equilibrium in Two Dimensions, etc.   I will rate you with “LIKE/UPVOTE," if it is COMPLETE STEP-BY-STEP SOLUTION.   If it is INCOMPLETE SOLUTION and there are SHORTCUTS OF SOLUTION, I will rate you with “DISLIKE/DOWNVOTE.”    THANK YOU FOR YOUR HELP.   PS: If you have answered this already, don’t answer it again; give chance to other experts to answer it. I want to verify if all of you will arrive in the same final answer; thats why I ask it multiple times. If you answer it again, i'll dislike all your entries/answers.