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For the sake of simplicity, we can model a baseball swing as a bat joined to the end of a block that rotates about one end (left end in the figure below). In this simplified model, the rigid body of the block plus the bat has a total weight of W = 26 lbs, and a mass center G located at k = 1.417 ft. The baseball has a weight of 5 oz (0.3125 lbs) and impacts the bat at location a = 2.75 ft. At the moment of impact, the batter is swinging the bat at w = 10.5 rad/s, and the baseball is traveling at 60 mph. According to research, the coefficient of restitution for a baseball is e = -0.546. Using the given momentum and impulse diagrams below, determine the velocity of the ball immediately after impact. Note: V₁ is not a momenta or an impulse, but you will need to know the velocity of point A on the bat for your impact analysis. Hint: Don't forget that VG and VA are both related to w.

For the sake of simplicity, we can model a baseball swing as a bat joined to the end of a block that rotates about one end (left end in the figure below). In this simplified model, the rigid body of the block plus the bat has a total weight of W = 26 lbs, and a mass center G located at k = 1.417 ft. The baseball has a weight of 5 oz (0.3125 lbs) and impacts the bat at location a = 2.75 ft. At the moment of impact, the batter is swinging the bat at w = 10.5 rad/s, and the baseball is traveling at 60 mph. According to research, the coefficient of restitution for a baseball is e = -0.546. Using the given momentum and impulse diagrams below, determine the velocity of the ball immediately after impact. Note: V₁ is not a momenta or an impulse, but you will need to know the velocity of point A on the bat for your impact analysis. Hint: Don't forget that VG and VA are both related to w.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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For the sake of simplicity, we can model a baseball swing as a bat joined to the end of a block that rotates about one end (left end in the figure below). In this simplified model, the rigid body of the block plus the bat has a total weight of W = 26 lbs, and a mass center G located at k = 1.417 ft. The baseball has a weight of 5 oz (0.3125 lbs) and impacts the bat at location a = 2.75 ft. At the moment of impact, the batter is swinging the bat at w = 10.5 rad/s, and the baseball is traveling at 60 mph. According to research, the coefficient of restitution for a baseball is e = -0.546. Using the given momentum and impulse diagrams below, determine the velocity of the ball immediately after impact. Note: VA is not a momenta or an impulse, but you will need to know the velocity of point A on the bat for your impact analysis. Hint: Don't forget that VG and VA are both related to w. + || Rxt- Ryt k k k MGVG Iw MGVG' 中 'Iw' a a a mBVB VA mBVB VA
Transcribed Image Text:For the sake of simplicity, we can model a baseball swing as a bat joined to the end of a block that rotates about one end (left end in the figure below). In this simplified model, the rigid body of the block plus the bat has a total weight of W = 26 lbs, and a mass center G located at k = 1.417 ft. The baseball has a weight of 5 oz (0.3125 lbs) and impacts the bat at location a = 2.75 ft. At the moment of impact, the batter is swinging the bat at w = 10.5 rad/s, and the baseball is traveling at 60 mph. According to research, the coefficient of restitution for a baseball is e = -0.546. Using the given momentum and impulse diagrams below, determine the velocity of the ball immediately after impact. Note: VA is not a momenta or an impulse, but you will need to know the velocity of point A on the bat for your impact analysis. Hint: Don't forget that VG and VA are both related to w. + || Rxt- Ryt k k k MGVG Iw MGVG' 中 'Iw' a a a mBVB VA mBVB VA
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