Problem 2. A projectile of mass m= 10 kg travelling with a velocity of 50m/s strikes and becomes embedded in a massless board supported by a spring of stiffness k-6.4x 104 N/m and a dashpot with damping coefficient, c. Im a) Determine the damping coefficient, c, for the fastest decay of the vibrations. b) For the value of c calculated above, determine the time required for the board to reach the maximum displacement. What is the value of the maximum displacement? (Hint: Velocity will be zero at the point of maximum displacement) c) [Bonus] What percentage of energy has been dissipated at the point of maximum displacement?

Problem 2. A projectile of mass m= 10 kg travelling with a velocity of 50m/s strikes and becomes embedded in a massless board supported by a spring of stiffness k-6.4x 104 N/m and a dashpot with damping coefficient, c. Im a) Determine the damping coefficient, c, for the fastest decay of the vibrations. b) For the value of c calculated above, determine the time required for the board to reach the maximum displacement. What is the value of the maximum displacement? (Hint: Velocity will be zero at the point of maximum displacement) c) [Bonus] What percentage of energy has been dissipated at the point of maximum displacement?

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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