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Physics - Rotation Question with Solution | TestHub

PhysicsRotationMiscellaneousEasy2 minPYQ_2020

PhysicsEasysingle choice

Two solid cylinders $A$ and $B$ of the same mass and same radius start rolling down a fixed inclined plane from the same height at the same time. The cylinder $A$ has most of its mass concentrated near the surface, while $B$ has most of its mass concentrated near the axis. Which statement is correct?

Options:

Answer:

Solution:

We can treat cylinders $A$ as hollow and $B$ as solid. For the hollow cylinder $A$ ,

$\frac{K^{2}}{R^{2}} = 1$ and

Solid cylinder B, $\frac{K^{2}}{R^{2}} = \frac{1}{2}$

$∴ V_{A} = \sqrt{\frac{2 g h}{1 + 1}} = \sqrt{2 g h}$

$V_{B} = \sqrt{\frac{2 g h}{1 + \frac{1}{2}}} = \sqrt{\frac{4 g h}{3}}$

$V_{B} > V_{A}$

$∴ ω_{B} > ω_{A}$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:RotationSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2020

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