Consider a uniform disc in the x-y plane free to rotate about an axis parallel to the Z-axis as shown (passing through the centre). A force of 4N applied at $(4, 3)$ along y-axis, as shown produces an angular acceleration of $2 s^{- 2}$ . Locate the centre of mass of the disc if the mass of the disc is 2 kg.

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Options:

Answer:

B

Solution:

As $τ = I α$

$4 (R) = [\frac{(2) R^{2}}{2}] (2)$

$\Rightarrow R = 2 m$

Thus, COM is at (2, 3)

TestHub · Accepted Answer

As τ = I α 4 R = 2 R 2 2 2 ⇒ R = 2 m Thus, COM is at (2, 3)

Physics - Rotation Question with Solution | TestHub

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