Two solid cylinders P and Q of same mass and same radius start...
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?
Solution:
As we know, acceleration of the center of mass of cylinder rolling down an inclined plane
ac=gsinθ1+IMR2
In case of P the mass is concentrated away from the axis, So IP>IQ
∴aP<aQ⇒vP<vQ⇒ωP<ωQ
ac=gsinθ1+IMR2
In case of P the mass is concentrated away from the axis, So IP>IQ
∴aP<aQ⇒vP<vQ⇒ωP<ωQ

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