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Q3. Catching a falling block of wood. The uniform rectangular panel is falling vertically with speed vi when its small peg A collides with and engages a receptacle. The collision happens over infinitesimal time. The block then pivots about the point A, which has come to rest due to the impact. Determine the angular velocity of the body as well as the x and y component of the velocity of the mass-center just after the impact. Hint: The total angular momentum of the block about A is conserved across the collision. ( Note that angular momentum about G is not conserved, because there is an 'infinite' force at A due to the collision. The angular momentum about A is conserved because all forces are finite except the force at A, which does not produce a moment about A. The finite forces cannot change momentum in infinitesimal time. ] OG 76 8 6/2

Q3. Catching a falling block of wood. The uniform rectangular panel is falling vertically with speed vi when its small peg A collides with and engages a receptacle. The collision happens over infinitesimal time. The block then pivots about the point A, which has come to rest due to the impact. Determine the angular velocity of the body as well as the x and y component of the velocity of the mass-center just after the impact. Hint: The total angular momentum of the block about A is conserved across the collision. ( Note that angular momentum about G is not conserved, because there is an 'infinite' force at A due to the collision. The angular momentum about A is conserved because all forces are finite except the force at A, which does not produce a moment about A. The finite forces cannot change momentum in infinitesimal time. ] OG 76 8 6/2

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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Please help. This problem involves angular velocity and conservation of energy. Thank you.

Q3. Catching a falling block of wood. The uniform rectangular panel is falling vertically with speed vi when its small peg A collides with and engages a receptacle. The collision happens over infinitesimal time. The block then pivots about the point A, which has come to rest due to the impact. Determine the angular velocity of the body as well as the x and y component of the velocity of the mass-center just after the impact. Hint: The total angular momentum of the block about A is conserved across the collision. ( Note that angular momentum about G is not conserved, because there is an 'infinite' force at A due to the collision. The angular momentum about A is conserved because all forces are finite except the force at A, which does not produce a moment about A. The finite forces cannot change momentum in infinitesimal time. ] OG AT 7b -x 8.
Transcribed Image Text:Q3. Catching a falling block of wood. The uniform rectangular panel is falling vertically with speed vi when its small peg A collides with and engages a receptacle. The collision happens over infinitesimal time. The block then pivots about the point A, which has come to rest due to the impact. Determine the angular velocity of the body as well as the x and y component of the velocity of the mass-center just after the impact. Hint: The total angular momentum of the block about A is conserved across the collision. ( Note that angular momentum about G is not conserved, because there is an 'infinite' force at A due to the collision. The angular momentum about A is conserved because all forces are finite except the force at A, which does not produce a moment about A. The finite forces cannot change momentum in infinitesimal time. ] OG AT 7b -x 8.
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