Two solid cylinders P and Q of same mass and same radius start rolling down a fixed inclined plane from the same height at the same time. Cylinder P has most of its mass concentrated near its surface, while Q has most of its mass concentrat

Question

Two solid cylinders P and Q of same mass and same radius start rolling down a fixed inclined plane from the same height at the same time. Cylinder P has most of its mass concentrated near its surface, while Q has most of its mass concentrated near the axis. Which statement(s) is(are) correct?

Quantrex Academy · Accepted Answer

Correct answer: D. Cylinder Q reaches the ground with larger angular speed.

As we know, acceleration of the center of mass of cylinder rolling down an inclined plane a_ c = g 1+ I M R² In case of P the mass is concentrated away from the axis, So I_ P >I_ Q a_ P

Two solid cylinders P and Q of same mass and same radius start rolling down a fixed inclined plane from the same height at the same time. Cylinder P has most of its mass concentrated near its surface, while Q has most of its mass concentrated near the axis. Which statement(s) is(are) correct?

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Correct answer

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