What is the torque of force $\vec F = 2\hat i - 3\hat j + 4\hat k$ acting at a point $\vec r = 3\hat i + 2\hat j + 3\hat k$ about the origin?
$6\hat i - 6\hat j + 12\hat k$
$ - 6\hat i + 6\hat j - 12\hat k$
$17\hat i - 6\hat j - 13\hat k$
$-17\hat i + 6\hat j + 13\hat k$
Two disc one of density $7.2\, g/cm^3$ and the other of density $8.9\, g/cm^3$ are of same mass and thickness. Their moments of inertia are in the ratio
Figure shows a thin metallic triangular sheet $ABC.$ The mass of the sheet is $M.$ The moment of inertia of the sheet about side $AC$ is
An ant is sitting at the edge of a rotating disc. If the ant reaches the other end, after moving along the diameter, the angular velocity of the disc will
A thin circular ring of mass $M$ and radius $R$ is rotating about its axis with a constant angular velocity $\omega .$ Two objects, each of mass $m,$ are attached gently to the opposite ends of a diameter of the ring. The ring rotates now with an angular velocity
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