4. Ball A rotates without friction on the end of a 30cm rod. Cart B rolls freelyin the horizontal direction. Initially Cart B is a rest, and Ball A is releasedfrom rest with the rod horizontal. When the ball gets to the bottom of itsswing, it impacts Cart B. After impact the Ball rebounds to 30°. What is thespeed of Cart B just after impact, VB3 = ?State 1Ball A released from restRVA1 = 01A3B VB10BVB3 = ?State 3Just After ImpactVAZRState 2Just before impact30%BBVB2 = 0State 4speed of Ball A is zeromA = 200 g600 gMBR = 30 cmAs usual in this part of the course, neglect the size of the ball and the massof the rod.Hint: This problem is not as complicated as it might first appear. I madefour drawings to help split it into events that need conservation of energyversus conservation of momentum. Be careful of the sign of VA, and usecorrect value for gravity whether leaving it in cm-gram-sec system orchanging to m-kg-sec system.

Answered: Image /qna-images/answer/3d6551a8-4d17-4582-bbf4-f35096452a6f.jpg

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.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

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
A3
B VB10
B
VB3 = ?
State 3
Just After Impact
VAZ
R
State 2
Just before impact
30%
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 VA, and use
correct value for gravity whether leaving it in cm-gram-sec system or
changing to m-kg-sec system.

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