4. Ball A rotates without friction on the end of a 30cm rod. Cart B rolls freely in the horizontal direction. Initially Cart B is a rest, and Ball A is released from rest with the rod horizontal. When the ball gets to the bottom of its swing, it impacts Cart B. After impact the Ball rebounds to 30°. What is the speed of Cart B just after impact, VB3 ? State 1 Ball A released from rest R VA1 = 0 1 VA3 B B VB10 VB3 = State 3 Just After Impact www VAZ R State 2 Just before impact B B VB2 = 0 State 4 speed of Ball A is zero mA = 200 g 600 g MB R = 30 cm As usual in this part of the course, neglect the size of the ball and the mass of the rod. Hint: This problem is not as complicated as it might first appear. I made four drawings to help split it into events that need conservation of energy versus conservation of momentum. Be careful of the sign of A, and use correct value for gravity whether leaving it in cm-gram-sec system or changing to m-kg-sec system.
4. Ball A rotates without friction on the end of a 30cm rod. Cart B rolls freely in the horizontal direction. Initially Cart B is a rest, and Ball A is released from rest with the rod horizontal. When the ball gets to the bottom of its swing, it impacts Cart B. After impact the Ball rebounds to 30°. What is the speed of Cart B just after impact, VB3 ? State 1 Ball A released from rest R VA1 = 0 1 VA3 B B VB10 VB3 = State 3 Just After Impact www VAZ R State 2 Just before impact B B VB2 = 0 State 4 speed of Ball A is zero mA = 200 g 600 g MB R = 30 cm As usual in this part of the course, neglect the size of the ball and the mass of the rod. Hint: This problem is not as complicated as it might first appear. I made four drawings to help split it into events that need conservation of energy versus conservation of momentum. Be careful of the sign of A, and use correct value for gravity whether leaving it in cm-gram-sec system or changing to m-kg-sec system.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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