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If the resultant of three forces vecF1= ...

If the resultant of three forces `vecF_1= phati -3hatj-hatk , vecF_2 =-5hati+hatj+2hatk and vecF_3= 6hati -hatk` acting on a particle has a magnitude equal to 5 units, then what is difference in the values of `p` ?

Text Solution

Verified by Experts

The correct Answer is:
`(2,-4)`
let R be the resultant. Then
`R=F_(1)+F_(2)+F_(3)=(p+1)hati+4hatj`
Given `|R|=5,` therefore `R^(2)=25`
`because(p+1)^(2)+16=25` or p+1=`+-3` or p=2,-4
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Knowledge Check

  • If the resultant of three forces vecF_1 = p hati + 3hatj -hatk, vecF_2 = 6hati-hatk and vecF_3 =-5hati +hatj +2hatk acting on a particle has a magnitude equal to 5 units, then the value of p is

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    C
    2
    D
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    A
    `-6`
    B
    `-4`
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    `2`
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  • The resultant of the forces vecF_(1)=4hati-3hatj and vecF_(2)=6hati+8hatj is

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