12. A structure consists of a uniform rod of mass mo and length L with an axis o

Question

12. A structure consists of a uniform rod of mass mo and length L with an axis of rotation at its center, and two masses mi and m2 attached at its ends (where m2 > mi), so the total mass of the structure is (mo + mi + m2). The rod is initially held horizontally and then released from rest. Consider the following two statements: mo m1 aXiS m2 I. The net torque on the structure, immediately after release, depends on the mass mo of the rod II. The angular acceleration of the structure depends on the mass mo of the rod Which statements are true? A) Both are true. B) Neither are true C) Only I is true. D) Only II is true.

Explanation / Answer

Net torque will depend upon the masses m11 and m22 but independent of mass of rod i.e. m0o.

Torque = moment of inertia about axis of rotation × Angular acceleration

So angular acceleration depends upon moment of inertia.

And moment of inertia will depend upon the mass of rod so angular will also depend upon the mass of rod.

So only IIA is correct.

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