A thin disc of mass and radius has mass per unit area where is the distance from its…

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Torque and Rotational Dynamics · Torque and Rotational Dynamics

Problem

A thin disc of mass MM and radius RR has mass per unit area σ(r)=kr2\sigma(r) = kr^2 where rr is the distance from its centre. Its moment of inertia about an axis going through its centre of mass and perpendicular to its plane is : [Main 10 Apr. 2019 I] (1) MR23\frac{MR^2}{3} (2) 2MR23\frac{2MR^2}{3} (3) MR26\frac{MR^2}{6} (4) MR22\frac{MR^2}{2}

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