A helicopter is lifting two crates simultaneously. One crate with a mass of 115 kg is attached to the helicopter by cable A. The second crate with a mass of 66 kg is hanging below the first crate and attached to the first crate by cable B. As the helicopter accelerates upward at a rate of 1.8 m/s2, what is the tension in each of the two cables?

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krlosdark12 krlosdark12 · Answer 1 · 2019-10-11T19:46:58+02:00

Answer:

T1= 2100N

T2=649N

Explanation:

According to 2nd newton's law

∑[tex]F=m*a[/tex]

We can analize the whole system as one box with the mass of both boxes.

[tex]T1-Mg=M*a\\M=ma+mb=181kg\\T1=181(9.8+1.8)\\T1=2100N[/tex]

Applying the same rule for T2:

[tex]T2-mb*g=mb*a\\T2=66(9.8+1.8)\\T2=766N[/tex]

So we can observe that the wire A has a bigger tension because the Two masses are hanging from it.

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