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Grade: 11
        A square plate of mass M and edge L is given. The MOI of the plate about the axis in the plane of plate passing through one of its vertex making an angle 15 from horizontal
11 months ago

Answers : (1)

Abhishek Anand
40 Points
							So here moi of square plate about its centre  perpendicular to its plane is ML^2/6.            And then by parallel axis theorem we find moi about one corner perpendicular to its plane is ML^2/6 + M(5L^2/4).  ,where distance of vertex from centre of plate is √5L/2.But axis makes 15° with horizontal , then we have to divide this moi by sin15°.    Then our fin al answer be (17ML^2/12)/sin15° , which is (17√2ML^2)/6(√3-1).
						
11 months ago
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