Question

Have a, b and c dont just need help with D but cant use code.

b) Т — т19 Трlш т2аz — Т/2 — т2д тзаз — Т/2 — тзд Аcceleration -2аз а1 + az с) та, - Т 3 —-т1g тгаz — Т/2 3D -т2д тзаз — Т/2 3 - тзд 0 —а1-а2—2аз _ Matrix form -1 -т191 0 0 га11 m1 —1/2|| а2 тз —1/2||аз -2 -т2д -тзд 0 0 т2 0 0 0 T 0 -1 1 Below is a schematic of a double Atwood machine: 1. 2T T m1 T/2 m2 m3 (a) For each of the masses, draw a free body diagram (0.5 mark) (b) Write all 4 coupled equations describing the systems (HINT: 3 equations of motion for the 3 masses and 1 equation relating the accelerations) (1.5 marks) (c) Write the coupled equations from above into a matrix (HINT: look at Week 3 Physics content lecture slides) (1 mark) (d) Row reduce your matrix from part (c) to find equations for the acceleration of each of the masses and T. You may use computer software to solve this (Matlab, Mathematica, SciLab, WolframAlpha, etc), but you must show a screenshot of your code and you must show at least 3 row reduce operations done by hand. (HINT: Refer to Week 3 Physics content lecture slides) (2 marks)