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(e) Consider the conditions in parts (a) and (b) of the problem. Shortly after the collision between the pellet and the board and as the board with embedded pellet is swinging up, what are the directions of 'board-pellet and inet?

(e) Consider the conditions in parts (a) and (b) of the problem. Shortly after the collision between the pellet and the board and as the board with embedded pellet is swinging up, what are the directions of 'board-pellet and inet?

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A board able to pivot along a horizontal axis along its top edge is shot with a pellet. The board is square and is L = 2{ = 0.25 m on a side and has a mass of M = 0.350 kg, the moment of inertia of the board is the same as that of a uniform density rod and is I,oard = ML². The board is struck at its center (a distance of { = ÷L beneath the pivot) by the bullet at an angle of o = 15° relative to the normal vector of the board as shown below. The pellet has a mass of 0.050 kg and is traveling at a speed of 20 m/s before the collision. The pellet remains embedded in the board. (a) What is the angular speed of the board (with embedded pellet) just after the pellet's impact? (b) What maximum height above the equilibrium position does the center of the board (also the COM of the board- axis pellet object) reach before starting to swing back down? 1- 0.125 m (c) What is the maximum height of the COM of the board- pellet object if the pellet instead strikes the board at { = 0.200 m. The board still has the same total mass and the pellet still strikes at an angle of o = 15° relative to the surface of the board. (d) Consider the conditions in parts (a) and (b) of the problem. What height would the board swing to following the collision if the collision was identical to the one described except The pellet bounces off the board and has a final speed of v=16.9 m/s that makes an angle of 9.50° with the normal vector of the board? (e) Consider the conditions in parts (a) and (b) of the problem. Shortly after the collision between the pellet and the board and as the board with embedded pellet is swinging up, what are the directions of -board-pellet and īnet?
Transcribed Image Text:A board able to pivot along a horizontal axis along its top edge is shot with a pellet. The board is square and is L = 2{ = 0.25 m on a side and has a mass of M = 0.350 kg, the moment of inertia of the board is the same as that of a uniform density rod and is I,oard = ML². The board is struck at its center (a distance of { = ÷L beneath the pivot) by the bullet at an angle of o = 15° relative to the normal vector of the board as shown below. The pellet has a mass of 0.050 kg and is traveling at a speed of 20 m/s before the collision. The pellet remains embedded in the board. (a) What is the angular speed of the board (with embedded pellet) just after the pellet's impact? (b) What maximum height above the equilibrium position does the center of the board (also the COM of the board- axis pellet object) reach before starting to swing back down? 1- 0.125 m (c) What is the maximum height of the COM of the board- pellet object if the pellet instead strikes the board at { = 0.200 m. The board still has the same total mass and the pellet still strikes at an angle of o = 15° relative to the surface of the board. (d) Consider the conditions in parts (a) and (b) of the problem. What height would the board swing to following the collision if the collision was identical to the one described except The pellet bounces off the board and has a final speed of v=16.9 m/s that makes an angle of 9.50° with the normal vector of the board? (e) Consider the conditions in parts (a) and (b) of the problem. Shortly after the collision between the pellet and the board and as the board with embedded pellet is swinging up, what are the directions of -board-pellet and īnet?
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