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a loadw is to b raised by a rope from rest to rest through a height h. the greatest tension the rope can safely bear is nw. th eleast time in which the ascent cabn b made will be

a loadw is to b raised by a rope from rest to rest through a height h. the greatest tension the rope can safely bear is nw. th eleast time in which the ascent cabn b made will be


 

Grade:

2 Answers

rupali sehgal
19 Points
9 years ago

2 forces will act on the load:

1) tension upwards

2) mg downwards.

its to b pulled upwards in least time

so there must b an acceleration upwards.

let max tension be nw.

so, (nw)-mg=mamax

amax = (nw)-mg/m---------(1)

using equation s=ut+1/2at2

we get h= 0 + 1/2 {(nw) - mg/m}t2                                                (from 1)

           t2 =  2mh/(nw)-mg

           t= √2mh/nw-mg

Radhey
13 Points
3 years ago
This is not the correct answer. Since the block will first accelerate and then decelerates. In this solution you have considered only one aspect. It should be in 3 steps , acceleration, constant speed amd then deceleration. Think again

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