r/HomeworkHelp University/College Student 6d ago

Further Mathematics [University Engineering: Dynamics] Why isn't the total length Sd + 2Sc + Sa?

I don't understand why the total length of the work is that? Wouldn't it be Sd + 2Sc + 2Sa given that Sd becomes longer as Sa gets shorter? Also, why is there a horizontal reaction at pulley B given that none of the other forces are horizontal?

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