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[Solved]: 4. Consider a rigid body rotating about a fixed
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(Solved): 4. Consider a rigid body rotating about a fixed point O with angular velocity =3e12e2+e ...


4. Consider a rigid body rotating about a fixed point \( O \) with angular velocity \[ \omega=3 \boldsymbol{e}_{1}-2 \boldsym

4. Consider a rigid body rotating about a fixed point with angular velocity where is a corotational basis. The inertia tensor of the body is (a) Calculate the angular momentum vector and the required torque. (b) Using the permutation tensor , calculate the angular velocity, angular momentum, and torque tensors.


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Given:-According to the given question.

(a) The angular momentum vector    is given by:
where "*" denotes the tensor product, and omega is the angular velocity vector. We can express    and    in terms of the corotational basis as:




Using the properties of the cross product, we can calculate each term of the tensor product as follows:
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