A metal piece of mass $$120$$ gm is stretched into a thin plane rectangular sheet of area of $$cross-section$$ $$0.54$$ $$m2$$ . If the length and breadth of this sheet are in the ratio $$1$$:$$6$$, the moment of inertia about an axis passing through its centre and perpendicular to its plane is

Question

A  metal piece of mass $$120$$ gm     is  stretched into a thin plane rectangular sheet of area of $$cross-section$$ $$0.54$$ $$m2$$     .  If the length and breadth of this sheet are in the ratio $$1$$:$$6$$, the moment of  inertia about an axis passing through its centre and perpendicular to its  plane is

Infinity Learn · Accepted Answer

$$I=m12($$ℓ$$2+b2)$$ $$A=$$ℓb   and ℓ$$b=16$$ $$b=6$$ℓ $$A=$$ℓ$$b=6$$ℓ$$2$$ $$0.54=6$$ℓ$$2$$ ℓ$$=0.3$$ $$I=M$$ℓ$$2+b212=0.120.32+1.8212=3.3$$×$$10$$−$$2kg$$ $$m2$$ .

A metal piece of mass $120 g m$ is stretched into a thin plane rectangular sheet of area of cross-section $0.54 m^{2}$ . If the length and breadth of this sheet are in the ratio 1:6, the moment of inertia about an axis passing through its centre and perpendicular to its plane is

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A metal piece of mass 120 gm is stretched into a thin plane rectangular sheet of area of cross-section 0.54 m2 . If the length and breadth of this sheet are in the ratio 1:6, the moment of inertia about an axis passing through its centre and perpendicular to its plane is

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A metal piece of mass $120 g m$ is stretched into a thin plane rectangular sheet of area of cross-section $0.54 m^{2}$ . If the length and breadth of this sheet are in the ratio 1:6, the moment of inertia about an axis passing through its centre and perpendicular to its plane is