When the right end of the bar of the system of Figure SP7.41 is given a velocity

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When the right end of the bar of the system of Figure SP7.41 is given a velocity of \(3 \mathrm{~m} / \mathrm{s}\) but the angular velocity of the bar is zero, an impulse of magnitude \(6 \mathrm{~N} \cdot \mathrm{s}\) is required at the right end of the bar and an angular impulse of \(10 \mathrm{~N} \cdot \mathrm{m} \cdot \mathrm{s}\) is required. Determine all possible elements of the mass matrix for this two degree-of-freedom system using \(x\), which is the displacement of the right end of the bar, and \(\theta\), which is the angular rotation of the mass center of the bar, as generalized coordinates.

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