1.

In Q 64 above , suppose the cable breaks , then the weighing machine will read

Answer»

more than the weight of the body
less than the weight of the body
equalto the weight of the body
zero

Solution :Whena PERSON of maas M is standing on a weighing machine placed in a lift , the actual weight of the person =Mg
This weight ACTS on the weighing machine which offers a reaction R, given by the READING of the weighing machine.
(i)When the elevator is at rest or moving with uniform velocity , upwards or downwards , apparent weight R = mg , which is the actual weight .
(ii)When the elevator is accelerating downwards with ACCELERATION a , we have
mg - R =ma
or R= m(g-a)
In this case , apparent weight becomes less.
(iii) When the elevator is accelerating upwards with acceleration a , we have
R- mg=ma
or R=m(g+a)
In this case , apparent weight becomes more .
(iv)If a=g,R=m(g-g)=0
So , the apparent weight of a person in an elevator falling down FREELY with an acceleration (=g) is zero .


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