13.189 When the rope is at an angle of a = 30°, the 1-kg sphere A has a speed vo = 0.6 m/s. The coefficient of restitution between A and the 2-kg wedge B is 0.8 and the length of rope I = 0.9 m. The spring constant has a value of 1500 N/m and 0 = 20°. Determine (a) the velocities of A and B immediately after the impact, (b) the maximum deflection of the spring, assuming A does not strike B again before this point.
13.189 When the rope is at an angle of a = 30°, the 1-kg sphere A has a speed vo = 0.6 m/s. The coefficient of restitution between A and the 2-kg wedge B is 0.8 and the length of rope I = 0.9 m. The spring constant has a value of 1500 N/m and 0 = 20°. Determine (a) the velocities of A and B immediately after the impact, (b) the maximum deflection of the spring, assuming A does not strike B again before this point.
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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13.189 When the rope is at an angle of a = 30°, the 1-kg sphere A has a speed
vo = 0.6 m/s. The coefficient of restitution between A and the 2-kg
wedge B is 0.8 and the length of rope I = 0.9 m. The spring constant
has a value of 1500 N/m and 0 = 20°. Determine (a) the velocities of A and B immediately after the impact, (b) the maximum deflection of
the spring, assuming A does not strike B again before this point.
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Step 1: Given data
VIEWStep 2: Calculating initial potential and kinetic energy
VIEWStep 3: Calculating the potential and kinetic energy before impact
VIEWStep 4: The expression for the conservation of energy between initial and final stage of sphere
VIEWStep 5: The expression for the coefficient of restitution
VIEWStep 6: Solving equation 1 and 2
VIEWStep 7: the kinetic energy of the wedge before impact and the potential energy at the end of spring
VIEWStep 8: Applying conservation of energy for the wedge block
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