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(A) : The centre of mass of uniform tria...

(A) : The centre of mass of uniform triangular lamina is centroid.
(R ): Centroid is centre of symmetry of mass of the triangular lamina.

A

Both 'A' and 'R' and true and 'R' is the correct explantation of 'A'

B

Both 'A' and 'R' and true and 'R' is not the correct explantation of 'A'

C

A' is true and 'R' is false

D

A' is false and 'R' is true

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • (A) : The centre of mass of a body may lie where there is no mass. (R ) : Centre of mass of a body is a point, where the whole mass of the body is supposed to be concentrated

    A
    Both 'A' and 'R' and true and 'R' is the correct explantation of 'A'
    B
    Both 'A' and 'R' and true and 'R' is not the correct explantation of 'A'
    C
    A' is true and 'R' is false
    D
    A' is false and 'R' is true

  • One end of a thin uniform rod of length L and mass M_(1) is rivetted to the centre of a uniform circular disc of radius .r. and mass M_(2) so that both are coplanar. The centre of mass of the combination from the centre of the disc is (Assume that the point of attachment is at the origin)

    A
    `(L(M_(1)+M_(2)))/(2M_(1))`
    B
    `(LM_(1))/(2(M_(1)+M_(3)))`
    C
    `(2(M_(1)+M_(2)))/(LM_(1))`
    D
    `(2LM_(1))/((M_(1)+M_(2)))`

  • On end of a thin uniform rod of length L and mass M_(1) is rivetted to the centre of a uniform circular disc of radius .r. and mass M_(2) so that both are coplanar. The centre of mass of the combination from the centre of the disc is (Assume that the point of attachment is at the origin)

    A
    `(L(M_(1)+M_(2)))/(2M_(1))`
    B
    `(LM_(1))/(2(M_(1)+M_(2)))`
    C
    `(2(M_(1)+M_(2)))/(LM_(1))`
    D
    `(2LM_(1))/((M_(1)+M_(2)))`

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    Find the centre of mass of a uniform L-shaped lamina (a thin flat plate) with dimensions as shown. The mass of the lamina is 3 kg.

    One end of a thin uniform rod of length L and mass M_(1) is reivetted to the centre of a uniform circular disc of radius 'r' and mass M_(2) so that both are coplanar. The centre of mass of the combination from the centre of the disc is (Assume that the point of attachment is at the origin)

    (A) : The position of centre of mass of a body does not depend upon shape and size of the body. (R ) : Centre of mass of a body always lies at the centre of the body.

    One end of a thin uniform rod of length L and mass M_(1) is rivetted to the centre of a uniform circular disc of radius 'r' and mass M_(2) so that that both are coplanar. The centre of mass of the combination from the centre of the disc is (Assume that the point of attachment is at the origin).

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