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When force vec(F)(1),vec(F)(2),vec(F)(3)...

When force `vec(F)_(1),vec(F)_(2),vec(F)_(3)` are acting on a particle of mass `m`, the particle remains in equilibrium. If the force `vec(F)_(1)` is now removed then the acceleration of the particle is :

A

`vec(F)_(1)//m`

B

`vec(F)_(1)//m`

C

`vec(F)_(2)-vec(F)_(3)//m`

D

`vec(F)_(2)//m`

Text Solution

Verified by Experts

The correct Answer is:
B

As initially `vec(F)_(1)+vec(F)_(2)+vec(F)_(3)=0`
If `vec(F)_(1)` is deleted
then `vecF_("net") = vec(F)_(2) +vec(F)_(3)=ma vec(a)=(vec(F)_(2)+vec(F)_(3))/(m)=(vec(F_(1)))/(m)`
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Knowledge Check

  • When force vec(F_(1)), vec(F_(2)),vec(F_(3))"…..."vec(F_(n)) act on a particle , the particle remains in equilibrium . If vec( F_(1)) is now removed then acceleration of the particle is

    A
    `(vec(F_(1)))/(m)`
    B
    `- (vec(F_(1)))/(m)`
    C
    `- ( vec( F_(2))+vec(F_(3))+"....."vec(F_(n))-vec(F_(1)))/(m)`
    D
    `(vec(F_(1)))/(m)`
  • When forces F_1 , F_2 , F_3 , are acting on a particle of mass m such that F_2 and F_3 are mutually perpendicular, then the particle remains stationary. If the force F_1 is now removed then the acceleration of the particle is

    A
    (a) `F//m`
    B
    (b) `F_2F_3//mF_1`
    C
    (c) `(F_2-F_3)//m`
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  • When forces F_(1) , F_(2) , F_(3) are acting on a particle of mass m such that F_(2) and F_(3) are mutually prependicular, then the particle remains stationary. If the force F_(1) is now rejmoved then the acceleration of the particle is

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    `F_(1)//m`
    B
    `F_(2)F_(3)//mF_(1)`
    C
    `(F_(2)-F_(3))//m`
    D
    `F_(2)//m`
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