Grade 12Mechanics

I have a problem in solving the following question, Can some one provide me the detailed solution of it,

The moment of inertia of a uniform semicircular disc of mass M and radius r about a line perpendicular to the plane of the disc through the centre is ...?

anjali SHARMA

17 Years agoGrade 12

4 Answers

dev bhatnagar

17 Years ago

This a simple conceptual question I think following can help you

Mass of semicircular disc = M

Suppose there is a circular disc of mass 2M, then

Moment of intertia of circular disc = 1/2(2M)R²

Moment of intertia of circular disc = 1/2(2M)R2 = MR²

=> So, Moment of intertia of semi-circular disc = (1/2)MR²

sowmya thandra

17 Years ago

can i get to know the detail information abt calculating moment of inertia

Tripti Arora

8 Years ago

The above answer is right but from wrong method because moment of inertia is same for any arc or any part of disc it is not that if disc is half then mass is also half and Moi also half

parth

7 Years ago

As it is uniform the mass didtribution is same all over the disc so half of the disc results in ½ of mass

m=density(d)*vol
M₁=d*t* $\displaystyle \pi$ R²
M_{2=d*t*(r/2)²}

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I have a problem in solving the following question, Can some one provide me the detailed solution of it, The moment of inertia of a uniform semicircular disc of mass M and radius r about a line perpendicular to the plane of the disc through the centre is ...?

anjali SHARMA

4 Answers

dev bhatnagar

sowmya thandra

Tripti Arora

parth

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I have a problem in solving the following question, Can some one provide me the detailed solution of it,

The moment of inertia of a uniform semicircular disc of mass M and radius r about a line perpendicular to the plane of the disc through the centre is ...?

A car loaded with water having total mass 1000 kg moves on a straight horizontal Road starting from rest under the action of a force of 100 Newton. The water spills throw a small hole in the bottom at a rate of 0.1 KG per second the velocity of cart after 300 seconds is nearly.

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