Question

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?

Answer 1

T1= 2100N

T2=649N

Step-by-step explanation:

According to 2nd newton's law

∑
`F=m*a`

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

`T1-Mg=M*a\\M=ma+mb=181kg\\T1=181(9.8+1.8)\\T1=2100N`

Applying the same rule for T2:

`T2-mb*g=mb*a\\T2=66(9.8+1.8)\\T2=766N`

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