Two blocks each of mass m = 3.90kg are fastened to the top of an elevator as in

Question

Two blocks each of mass m = 3.90kg are fastened to the top of an elevator as in the figure below. (a) If the elevator accelerates upward at 1.6m/s2, find the tensions T1 andT2 in the upper and lower strings.
T1 1 N T2 2 N
(b) If the strings can withstand a maximum tension of 96.0 N, what maximum acceleration can the elevatorhave before the first string breaks?
3 m/s2 (a) If the elevator accelerates upward at 1.6m/s2, find the tensions T1 andT2 in the upper and lower strings.
T1 1 N T2 2 N
(b) If the strings can withstand a maximum tension of 96.0 N, what maximum acceleration can the elevatorhave before the first string breaks?
3 m/s2 T1 1 N T2 2 N

Explanation / Answer

a) m1 = m2 = 3.90kg T1 - T2 = m1a =ma   --(1) T2 - m2g = m2a =>T2 - mg = ma     (2) T2 = ma + mg = m(a+g) = 44.46N (1)+(2) T1 - mg = 2ma => T1 = 2ma + mg =2*3.90kg*1.6m/s2 + 3.90kg*9.8m/s2 =57.7N b) consider: T1 = 2ma + mg when T1 = 96.0N => 96.0N = 2ma + mg a = (96.0N - mg)/2m = 7.40m/s2 maximum acceleration will be 7.40m/s2 maximum acceleration will be 7.40m/s2

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