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The 9.0 kg sphere A is held at an angle of 60° as shown, and then is released from rest and hits the B sphere which has a mass of 4.5 kg. In this crash the coefficient of restitution is e = 0.75. The sphere B is attached to the end of a rod lightweight rotating around the O point. The spring is initially non elongated and it is known that the maximum angle θ that the rod turned after the crash measured from the initial position was of 21.4º. Calculate: a) The speed with which sphere A impacts with sphere B.  b) The magnitude and direction of the velocities of each sphere A and B after impact.  c) The mechanical energy dissipated on impact.  d) The spring stiffness constant k.

The 9.0 kg sphere A is held at an angle of 60° as shown, and then is released from rest and hits the B sphere which has a mass of 4.5 kg. In this crash the coefficient of restitution is e = 0.75. The sphere B is attached to the end of a rod lightweight rotating around the O point. The spring is initially non elongated and it is known that the maximum angle θ that the rod turned after the crash measured from the initial position was of 21.4º. Calculate: a) The speed with which sphere A impacts with sphere B.  b) The magnitude and direction of the velocities of each sphere A and B after impact.  c) The mechanical energy dissipated on impact.  d) The spring stiffness constant k.

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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The 9.0 kg sphere A is held at an angle of 60° as shown, and then is released from rest and hits the B sphere which has a mass of 4.5 kg. In this crash the coefficient of restitution is e = 0.75. The sphere B is attached to the end of a rod lightweight rotating around the O point. The spring is initially non elongated and it is known that the maximum angle θ that the rod turned after the crash measured from the initial position was of 21.4º. Calculate:

a) The speed with which sphere A impacts with sphere B. 
b) The magnitude and direction of the velocities of each sphere A and B after impact. 
c) The mechanical energy dissipated on impact. 
d) The spring stiffness constant k. 

450 mm A 60° B - 600 mm - wu 009 www
Transcribed Image Text:450 mm A 60° B - 600 mm - wu 009 www
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