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A helicopter of m ass 1000 kg rises with...

A helicopter of m ass 1000 kg rises with a vertical a c c ele ra tio n o f 15 `ms-^(2)` . The crew an d th e passengers weigh 300 kg. Give the magnitude and direction of the,
(a) Force on th e floor by th e crew and passengers.
(b) Action of the rotor of the helicopter on the surrounding air.
(c) Force on the helicopter due to the surrounding air.

Text Solution

Verified by Experts

Mass of helicopter `m_(1) = 100 kg`
mass of passanger and crew `m_(2) = 300 kg`
(a ) Normal force due to to crew and passanger be
`R_(1) - mg = m_(2) a`
`R_(1) =m_(2) ( g + m_(2))`
`=300 (10+ 15) `
`=300 xx 25 `
`R_(1) = 75000 N to ` in unpward direction
( b ) Force acting on surrounding air due to rotor of helicopter .
`(m_(1) + m_(2) ) g + (m_(1) + m_(2) )a`
`=1300 xx 25 `
`F= 32500 N `
(c ) By Newton third of motion action and reaction are equal in mgnitude and in oppsite direction
`:.` Force acting on helicopter due to surrounding air 32500 N
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