Question

For Semicircular area what will be the value of Iyy​

Answer 1

Answer:

$\bf \huge \underline {\underline{ANSWER}}$

Explanation:

for a semicircle, the moment of inertia of the x-axis is equal to the y-axis. Here, the semi-circle rotating about an axis is symmetric and therefore we consider the values equal. Here the M.O.I will be half the moment of inertia of a full circle.

hope it helps you.

Answer 2

Explanation:

order to find the moment of inertia of a semicircle, we need to recall the concept of deriving the moment of inertia of a circle. The concept can be used to easily determine the moment of inertia of a semicircle.

order to find the moment of inertia of a semicircle, we need to recall the concept of deriving the moment of inertia of a circle. The concept can be used to easily determine the moment of inertia of a semicircle.1. We will first begin with recalling the expression for a full circle.

order to find the moment of inertia of a semicircle, we need to recall the concept of deriving the moment of inertia of a circle. The concept can be used to easily determine the moment of inertia of a semicircle.1. We will first begin with recalling the expression for a full circle.I = πr4 / 4

order to find the moment of inertia of a semicircle, we need to recall the concept of deriving the moment of inertia of a circle. The concept can be used to easily determine the moment of inertia of a semicircle.1. We will first begin with recalling the expression for a full circle.I = πr4 / 4In order to find the moment of inertia, we have to take the results of a full circle and basically divide it by two to get the result for a semicircle.

order to find the moment of inertia of a semicircle, we need to recall the concept of deriving the moment of inertia of a circle. The concept can be used to easily determine the moment of inertia of a semicircle.1. We will first begin with recalling the expression for a full circle.I = πr4 / 4In order to find the moment of inertia, we have to take the results of a full circle and basically divide it by two to get the result for a semicircle.Now, in a full circle because of complete symmetry and area distribution, the moment of inertia relative to the x-axis is the same as the y-axis.

Now we need to pull out the area of a circle which gives

Similarly, for a semicircle, the moment of inertia of the x-axis is equal to the y-axis. Here, the semi-circle rotating about an axis is symmetric and therefore we consider the values equal. Here the M.O.I will be half the moment of inertia of a full circle. Now this gives us;