Question
Asked Dec 17, 2019
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Two blocks each of mass m are fastened
to the top of an elevator as in Figure
P4.56. The elevator has an upward
acceleration a. The strings have negligible
mass. (a) Find the tensions T1
and T2 in the upper and lower strings in
terms of m, a, and g. (b) Compare the two tensions and determine which string would break first if
a is made sufficiently large. (c) What are the tensions if the
cable supporting the elevator breaks?

Figure P4.56
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Figure P4.56

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Expert Answer

Step 1

a)

The free body diagram is given,

From the diagram,

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T -T, - mg = ma T- mg = T; = m(a+g) T = m(a+g)+T, T = m(a+g)+m(a+g) = 2m(a+g)

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Step 2

The tension on the upper string

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T = 2m(a+g)

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Step 3

The tension on the ...

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T = m(a+g)

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