A wire of mass m and length ℓ is lying on the horizontal surface. It is turned into semicircular wire as shown & made in vertical plane. Height of centre of mass from ground will be

Engineering

Physics

Center of Mass

Calculus

Forces and Types of Forces

Question

A wire of mass m and length ℓ is lying on the horizontal surface. It is turned into semicircular wire as shown & made in vertical plane. Height of centre of mass from ground will be

$\frac{2 L}{π^{2}}$

$\frac{L}{2 π^{2}}$

$\frac{2 L}{π}$

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$y_{cm} = \frac{2 R}{π}$

πR = ℓ

$R = \frac{l}{π}$

$\Rightarrow y_{cm} = \frac{2 l}{π^{2}}$ .