Center of MassHardBloom L3

Question

A thick uniform wire is bent into the shape of the letter “U” as shown. Which point indicates the location of the center of mass of this wire? A is the midpoint of the line joining mid points of two parallel sides of 'U' shaped wire.

Options

A.D
B.A
C.B
D.C

Solution

Sol.

$x_{cm} = \frac{m \times \frac{L}{9} - \frac{mL}{2}}{3m} = 0$

$y_{cm} = \frac{\frac{m\mathcal{l}}{2} + \frac{m\mathcal{l}}{2}}{3m}$

$y_{cm} = \frac{\mathcal{l}}{3}$

Point (B)

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