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An aerostat of mass M starts coming down with a constant acceleration W. Determine the ballest mass to be dumped for the aerostat to reach the upward acceleration of the same magnitude. The air drag is to be neglected.

An aerostat of mass M starts coming down with a constant acceleration W. Determine the ballest mass to be dumped for the aerostat to reach the upward acceleration of the same magnitude. The air drag is to be neglected.

Grade:12

2 Answers

Chetan Mandayam Nayakar
312 Points
11 years ago

there are two forces acting on the aerostat; gravity and vertically upward 'f', MW=Mg-f, f=M(g-w),let ballast mass to be dumped be Md

f-(M-Mdg)=W(M-Md), solve the equation to obtain the answer.

 

ADITYA SONI
16 Points
8 years ago

IT IS A QUIESTION OF I.E. IRODOV

SOLUTION:

in the beginning we see that

#mg-f=wm (eqn 1)

let us say that the dumped weight be δm

#after dumping we say that

f-(m-δm)=w(m-δ)  (eqn2)

we got two eqn

now what are u waiting for solve it

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