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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 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.
Expert Answer
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: