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A force of (2 hat(i) + 2hat(j) + 2 hat(k...

A force of `(2 hat(i) + 2hat(j) + 2 hat(k)) N` is acting on a body having mass 2kg. Find the acceleration of centre of mass in centre of mass frame.

A

`(hat(i) + hat(j) + hat(k))`

B

`(2 hat(i) + 2 hat(j) + 2 hat(k)) m//s^(2)`

C

0

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
`vec(a)_(COM) = 0` in COM frame
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Knowledge Check

  • The position vectors of three particles of mass m_(1) = 1kg, m_(2) = 2kg and m_(3) = 3kg are r_(1) = (hat(i) + 4hat(j) +hat(k)) m, r_(2) = (hat(i)+hat(j)+hat(k)) m and r_(3) = (2hat(i) - hat(j) -hat2k) m, respectively. Find the position vector of their center of mass.

    A
    `r_(cm) =1/2(3i + j -2k)m`
    B
    `r_(cm) =1/2(3i + 2j -k)m`
    C
    `r_(cm) =1/2(3i + 3j -k)m`
    D
    `r_(cm) =1/2(3i + j -k)m`

  • A force F=2hat(i)+hat(j)-hat(k) acts at point A whose position vector is 2hat(i)-hat(j) . Find the moment of force F about the origin.

    A
    `hat(i)+2hat(j)-4hat(k)`
    B
    `hati-2hatj-4hatk`
    C
    `hati+2hatj+4hatk`
    D
    `hati-2hatj+4hatk`

  • Three forces vec(F_(1))=23hat(j)+3hat(j)-hat(k), vec(F_(2))=4hat(i)-hat(j)-2hat(k) and vec(F_(3))=23hat(j)+3hat(k)N act on a block of mass 5kg . Calculate the acceleration of the particle.

    A
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    B
    5
    C
    15
    D
    1.5

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