Find an expression for the kinetic energy of the cylinder

Reference no: EM13536707

A cylinder of length l, radius r, and mass m is constrained to rotate with constant angular velocity ? about an axis passing through the center O of the cylinder and making an angle a with the long axis of the cyclinder.

(a) Evaluate all elements of the moment of inertia tensor I ^ for a body frame where one axis is along the axis of the cylinder. You have to show explicity how you compute each matrix element of I ^.

(b) Find an expression for the angular momentum vector L about O.

(c ) Find an expression for the kinetic energy of the cylinder.

(d) Use the Euler equations to find an expression for the torque vector N.

Reference no: EM13536707

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