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This is the test examples for the Engineering dynamics course. I hope this helps anyone who needs extra practice.
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Name ____________________________________ ENGR 2350 – DYNAMICS Fall 2021 Test 1
Formulas 𝑠 = 𝑠 𝑣 = 𝑑𝑠 𝑑𝑡 𝑎 = 𝑑𝑣 𝑑𝑡 = 𝑑 2 𝑠 𝑑𝑡 2 = 𝑣𝑑𝑣 𝑑𝑠 𝑣𝑓 = 𝑣𝑖 + 𝑎𝑡 𝑣𝑓^2 = 𝑣𝑖^2 + 2𝑎(𝑠𝑓 − 𝑠𝑖 ) 𝑠𝑓 = 𝑠𝑖 + 𝑣𝑖 𝑡 + 𝑎𝑡 2 2 𝒓 = 𝑥𝒊 + 𝑦𝒋 𝒗 = 𝑥̇𝒊 + 𝑦̇𝒋 = 𝑣𝒆 (^) 𝒕 𝒂 = 𝑥̈𝒊 + 𝑦̈𝒋 = 𝑣̇𝒆 (^) 𝒕 + 𝑣 2 𝜌 𝒆 (^) 𝒏 𝑔 = 9. 𝑚 𝑠 2 = 32. 𝑓𝑡 𝑠 2 ∫ 𝑑𝑠 = ∫ 𝑣𝑑𝑡 ∫ 𝑑𝑣 = ∫ 𝑎𝑑𝑡 ∫ 𝑣𝑑𝑣 = ∫ 𝑎𝑑𝑠 𝑎 = 𝑎 𝑠 = 𝑠 𝒗 = 𝑣𝒆 (^) 𝒕 = 𝑠̇𝒆 (^) 𝒕 = 𝜌𝛽̇𝒆 (^) 𝒕 𝒂 = 𝑣̇𝒆 (^) 𝒕 + 𝑣 2 𝜌 𝒆 (^) 𝒏 𝑎𝑡 = 𝑣̇ = 𝑠̈ = 𝑣𝑑𝑣 𝑑𝑠 𝑎𝑛 = 𝑣 2 𝜌 = 𝜌𝛽̇ 2 = 𝑣𝛽̇ 𝒓𝐴 = 𝒓 (^) 𝐵 + 𝒓𝐴/𝐵 𝒗𝐴 = 𝒗 (^) 𝐵 + 𝒗𝐴/𝐵 𝒂𝐴 = 𝒂 (^) 𝐵 + 𝒂𝐴/𝐵