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  • Assertion: There is a line passing through the tangent of a disc; the disc’s moment of  inertia about that line is  <img alt="\frac{5}{4}MR^{2}" src="https:

Assertion: There is a line passing through the tangent of a disc; the disc’s moment of 

inertia about that line is  \frac{5}{4}MR^{2} 

Reason:

If the disc’s moment of inertia about its diameter is known then 

to know the moment of inertia about the tangent line, we need to use the parallel axis theorem.

Option: 1

The assertion is True but the reason is False


Option: 2

The reason is True but the Assertion is False


Option: 3

Assertion And Reason both are true 


Option: 4

Assertion And Reason both are False 


Answers (1)

Disc’s moment of inertia about its diameter is  \frac{1}{4}MR^{2}

And for the tangent line, we need to use the parallel axis theorem ( Distance of the line from the center is R )  

 I=I_{c}+Mx^{2}

I=\frac{1}{4}MR^{2}+MR^{2}=\frac{5}{4}MR^{2}

Posted by

Kshitij

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