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college physics

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Two blocks each of mass m = 4.10 kg are fastened to the top of an elevator as in the figure below.
(a) If the elevator accelerates upward at 1.6 m/s2, find the tensions T1 and T2 in the upper and lower strings.

(b) If the strings can withstand a maximum tension of 96.0 N, what maximum acceleration can the elevator have before the first string breaks?

  • college physics -

    I will be happy to critique your thinking.

  • college physics -

    Consider, T1 - T2 - mg = ma
    Also, T2 - mg = ma


    T1 = 2ma + 2mg
    T2= mg + ma


    T1 = 93.48 N
    T2 = 46.74 N

    Now to find max acc using given Tension Force 96. Set equation 1 using T1 as 96 and now find a.
    your answer should equal a = 1.90 m/s2


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