Problem 1 (i) Show that all three principal moments of inertia of a solid regular dodecahedron are equal. Hint: you do not need to compute their values. (ii) A rigid body consists of 12 identical thin rods of length a, forming the edges of a cube. Each of the rods has mass m and a uniform mass density. Calculate the moment of inertia tensor of the body.
Problem 1 (i) Show that all three principal moments of inertia of a solid regular dodecahedron are equal. Hint: you do not need to compute their values. (ii) A rigid body consists of 12 identical thin rods of length a, forming the edges of a cube. Each of the rods has mass m and a uniform mass density. Calculate the moment of inertia tensor of the body.
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![Problem 1
(i) Show that all three principal moments of inertia of a solid regular dodecahedron are equal.
Hint: you do not need to compute their values.
(ii) A rigid body consists of 12 identical thin rods of length a, forming the edges of a cube. Each of the
rods has mass m and a uniform mass density. Calculate the moment of inertia tensor of the body.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F857d1b55-875c-4f26-a9e3-d336b033cff4%2F0450a535-cfbe-46cf-aff2-167afea9b7c0%2Frfg783m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 1
(i) Show that all three principal moments of inertia of a solid regular dodecahedron are equal.
Hint: you do not need to compute their values.
(ii) A rigid body consists of 12 identical thin rods of length a, forming the edges of a cube. Each of the
rods has mass m and a uniform mass density. Calculate the moment of inertia tensor of the body.
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