Rotational Motion Exam Prep
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Rotational Motion Exam Prep
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A circular disc A of radius $r$ is made from an iron plate of thickness $t$ and another circular disc B of radius $4r$ is made from an iron plate of thickness $t/4$. Find the relation between the moment of inertia $I_A$ and $I_B$.
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The relation is $I_B = 16 I_A$.
The full exam-length answer is in the app.
A square plate of side $l$ has mass per unit area $\mu$. Find its moment of inertia about an axis passing through the centre and perpendicular to its plane.
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The moment of inertia is $I = rac{1}{6} \mu l^4$.
The full exam-length answer is in the app.
Three masses $m_1$, $m_2$, and $m_3$ are located at the vertices of an equilateral triangle of side $a$. What is the moment of inertia of the system about an axis along the median passing through $m_1$?
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The moment of inertia is $I = rac{1}{3} m_2 a^2 + rac{1}{3} m_3 a^2$.
The full exam-length answer is in the app.
Two rings having the same radius and mass are placed such that their centres are at a common point and their planes are perpendicular to each other. Find the moment of inertia of the system about an axis passing through the centre and perpendicular to the plane of one of the rings. (M = mass of each ring and R = radius).
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The moment of inertia is $I = 2 \cdot rac{1}{2} MR^2 = MR^2$.
The full exam-length answer is in the app.
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