What was the magnitude of the elevator\'s minimum acceleration? What was the dir

Question

What was the magnitude of the elevator's minimum acceleration?

What was the direction of the elevator's acceleration (upward or downward)?

I'm having a hard time getting this question.

A 17.0 kg monkey hangs from a cord suspended from the ceiling of an elevator. The cord can withstand a tension of 260 N and breaks as the elevator accelerates. What was the magnitude of the elevator's minimum acceleration? What was the direction of the elevator's acceleration (upward or downward)? I'm having a hard time getting this question.

Explanation / Answer

If the elevator is accelerating upwards, when we see the situation from the frame of the elevator , we can assume a pseudo force acting on the monkey downwards.

T = mg + ma
260 = 17* ( 9.8 + a)
a = 5.49 m/s^(2)

In case of downward acceleration , we will get T = mg - ma
Here, we get a higher value of a.

So the answer is 5.49 m/s^(2)

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