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What is parallel an perpendicular axis theorem?

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The parallel axis theorem, also known as Huygens--Steiner theorem after Christiaan Huygens and Jakob Steiner, can be used to determine the mass moment of inertia or the second moment of area of a rigid body about any axis, given the body's moment of inertia about a parallel axis through the object's...
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The parallel axis theorem, also known as Huygens–Steiner theorem after Christiaan Huygens and Jakob Steiner, can be used to determine the mass moment of inertia or the second moment of area of a rigid body about any axis, given the body's moment of inertia about a parallel axis through the object's center of mass and the perpendicular distance between the axes. read less
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Ix+Iy=Iz Where x and y axis lie on a plane lamina...and z axis is perpendicular to the plane lamina....nd all these three axis are mutual perpendicular to each other...very usefull for 2D symmetric objects.
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In physics, the perpendicular axis theorem (or plane figure theorem) can be used to determine the moment of inertia of a rigid object that lies entirely within a plane, about an axis perpendicular to the plane, given the moments of inertia of the object about two perpendicular axes lying within the p...
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Perpendicular axis theorem: If two axes x and y are perpendicular to each other, then the moment of inertia about z axis which is perpendicular to the xy plane is given
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Math Educator for Std.11th ,12th , Engineering Entrance and Degree Level with 11+ Years Experience

Parallel axis theorem: It states that if there are two axes of rotation one being at the center of mass, then the moment of inertia can be written as~ Iab = Ixy = Md^2 Perpendicular axis theorem: If two axes x and y are perpendicular to each other, then the moment of inertia about z axis which...
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Parallel axis theorem: It states that if there are two axes of rotation one being at the center of mass, then the moment of inertia can be written as~ Iab = Ixy = Md^2 Perpendicular axis theorem: If two axes x and y are perpendicular to each other, then the moment of inertia about z axis which is perpendicular to the xy plane is given as~ Iz = Ix = Iy read less
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Perpendicular axis theorem In physics, the perpendicular axis theorem (or plane figure theorem) can be used to determine the moment of inertia of a rigid object that lies entirely within a plane, about an axis perpendicular to the plane, given the moments of inertia of the object about twoperpendicular...
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Perpendicular axis theorem In physics, the perpendicular axis theorem (or plane figure theorem) can be used to determine the moment of inertia of a rigid object that lies entirely within a plane, about an axis perpendicular to the plane, given the moments of inertia of the object about twoperpendicular axes lying within the plane. The axes must all pass through a single point in the plane. Define perpendicular axes , , and (which meet at origin ) so that the body lies in the plane, and the axis is perpendicular to the plane of the body. Let Ix, Iy and Iz be moments of inertia about axis x, y, z respectively, the perpendicular axis theorem states that This rule can be applied with the parallel axis theorem and the stretch rule to find moments of inertia for a variety of shapes. read less
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Parallel axis theorem: I(parallel axis) = Icm + m(d^2) It means the moment of inertia about an axis passing through the center of mass is the least. Perpendicular axis theorem For a planar object, the moment of inertia about an axis perpendicular to the plane is the sum of the moments of inertia...
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Parallel axis theorem: I(parallel axis) = Icm + m(d^2) It means the moment of inertia about an axis passing through the center of mass is the least. Perpendicular axis theorem For a planar object, the moment of inertia about an axis perpendicular to the plane is the sum of the moments of inertia of two perpendicular axes through the same point in the plane of the object. read less
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Physics Tutor

The perpendicular axis theorem (or plane figure theorem) can be used to determine the moment of inertia of a rigid object that lies entirely within a plane, about an axis perpendicular to the plane, given the moments of inertia of the object about two perpendicular axes lying within the plane. The axes...
read more
The perpendicular axis theorem (or plane figure theorem) can be used to determine the moment of inertia of a rigid object that lies entirely within a plane, about an axis perpendicular to the plane, given the moments of inertia of the object about two perpendicular axes lying within the plane. The axes must all pass through a single point in the plane. the parallel axis theorem, also known as Huygens–Steiner theorem after Christiaan Huygens and Jakob Steiner, can be used to determine the mass moment of inertia or the second moment of area of a rigid body about any axis, given the body's moment of inertia about a parallel axis through the object's center of mass and the perpendicular distance between the axes. read less
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Dear friends, Please correct me in case I am wrong. I your opinion , what should be the maximum number of students in a coaching class, so that each student can have maximum dedicated time from the attending teacher in the classroom. In present days, cost and time of coaching / tuition matters a lot . The same will be demontrated by the following two examples : Example 1 : Suppose a student pays Rs. 4000/= per month ( 26 days in a month , excluding Sundays ), One hour per day , number of student is only one, then cost of coaching per minute works out to (Rs. 4000/=X 1 Student )/(26 days X 60 min/day ) = Rs.2.56 per min. cost and he will get dedicated time of 60 min. each day to carry on his studies. Example - 2 : Suppose a student pays Rs. 2000/= per month ( 26 days in a month , excluding Sundays ), One hour per day , number of student is 30 in a class, then cost of coaching per minute works out to (Rs. 2000/=X 30 Students in a coaching class ) / (26 days X 60 min/day ) = Rs.38.46 per min. cost and he will get dedicated time of only two min. each day for his studies. The above examples shows that though the monthly fees paid by each student is just half ( Rs. 2000/= see example -2 ) in case of classroom type of coaching as compared to the individual coaching ( Rs. 4000/= see example - 1 ), but on the other side cost of coaching per min. based on true dedicated time is 15 times higher in case of classroom type coaching with mass students than single student coaching. These can be however extrapolated for any number of students in a coaching class. As a result the speed of learning process of a student will be about fifteen times slower in classroom type coaching having mass students in a class ignoring the other factors. However, it may be the choice of the students and parents which option is better for them ? Regards, Sudhansu bhushan Roy.
Sir your calculations are excellent. I would like to add few things. 1. It depends on the student / parents choice at the end. 2. It never implies that effective attention to a student is 2-3 mins, so...
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