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Physics - Center of Mass Question with Solution | TestHub

PhysicsCenter of MassCalculate of COMMedium2 minQB

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A solid cone is placed on a horizontal surface has height h, radius R and apex angle $θ$ as shown. If gravitational potential energy of the cone does not change as position of the cone is changed from figure (A) to figure (B), then, Figure (B)

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Answer:

Solution:

The cone's COM is $\frac{h}{4}$ above the base. Equal potential energy in both positions means the COM stays at the same height, so in position (B) the COM lies vertically above the contact point.

From $Δ OCM$ : $sin θ = \frac{h /4}{3 h /4} = \frac{1}{3}$ .

$tan θ = \frac{1}{2 2} = \frac{R}{h}$ ⇒ $\frac{h}{R} = 22$ - (D)

Stream:JEESubject:PhysicsTopic:Center of MassSubtopic:Calculate of COM

⏱ 2mℹ️ Source: QB

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