A bird is wandering around and suddenly decides to land at the tip of a branch...

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A bird is wandering around and suddenly decides to land at the tip of a branch of an old tree. As a vibration expert you are called upon to analyze the following problem for the Forest Trees Protection Society of San Luis Obispo: If the mass of a typical bird is 1 Kg and the branch is modeled as a cantilever beam with E=10MPa, I=10-3m4, L=1m and assumed to be massless, and assuming a damping ratio of 2% for the tree/wood, find the maximum bending stress developed at the point of connection of the branch with the trunk of the tree. If assuming the cross section of the branch is circular and has a diameter of 30cm and the mother nature has limited the tolerable bending stress of the branch to 20Pa, will this branch tolerate the drop weight of the bird? A bird is wandering around and suddenly decides to land at the tip of a branch of an old tree. As a vibration expert you are called upon to analyze the following problem for the Forest Trees Protection Society of San Luis Obispo: If the mass of a typical bird is 1 Kg and the branch is modeled as a cantilever beam with E=10MPa, I=10-3m4, L=1m and assumed to be massless, and assuming a damping ratio of 2% for the tree/wood, find the maximum bending stress developed at the point of connection of the branch with the trunk of the tree. If assuming the cross section of the branch is circular and has a diameter of 30cm and the mother nature has limited the tolerable bending stress of the branch to 20Pa, will this branch tolerate the drop weight of the bird?