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In the given figure L=1 metre if total g...


In the given figure `L=1` metre if total gravitational force on 4 kg mass is `verF_(1)` and on 2 kg mass is `vecF_(2)` then find out the ratio of `|(vecF_(2))/(vecF_(2))|`

Text Solution

Verified by Experts

The correct Answer is:
`sqrt(2)`
`F_(1)=|F_(42)+vecF_(41)+vecF_(41)|`
`=(G8)/(4L^(2))+(G4)/(2L^(2))(2cos45)=((2+2sqrt(2))G)/(L^(2))`
`F_(2)=|vecF_(24)+vecF_(21)+vecF_(21)|=(G8)/(4L^(2))+(G2)/(2L^(2))(2cos45)`
`=(G)/(L^(2))(2+sqrt(2))implies(F_(1))/(F_(2))=sqrt(2)`
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Knowledge Check

  • Two forces vecF_(1) and vecF_(2) are acting at right angles to each other, find their resultant ?

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