Problem (5) A gun barrel of mass 500kg has a recoil spring of stiffness 3,00,000 N/m. If the barrel recoils 1.2 meters on firing. Determine, (a) Initial velocity of the barrel (b) Critical damping coefficient of the dashpot which is engaged at the end of the recoil stroke (c) Time required for the barrel to return to a position 50mm from the initial position. HINT: Strain energy stored in the spring at the end of recoil ( P = ; kx² ) = Kinetic energy lost by the gun barrel ( T = ; kx ²) P = kx²=T =; kx?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Problem (5)
A gun barrel of mass 500kg has a recoil spring of stiffness 3,00,000 N/m. If the
barrel recoils 1.2 meters on firing. Determine,
(a) Initial velocity of the barrel
(b) Critical damping coefficient of the dashpot which is engaged at the end of
the recoil stroke
(c) Time required for the barrel to return to a position 50mm from the initial
position.
HINT:
Strain energy stored in the spring at the end of recoil (P = kx² )
2
= Kinetic energy lost by the gun barrel ( T = kx2)
P = kx²=T =; kx?
%D
Transcribed Image Text:Problem (5) A gun barrel of mass 500kg has a recoil spring of stiffness 3,00,000 N/m. If the barrel recoils 1.2 meters on firing. Determine, (a) Initial velocity of the barrel (b) Critical damping coefficient of the dashpot which is engaged at the end of the recoil stroke (c) Time required for the barrel to return to a position 50mm from the initial position. HINT: Strain energy stored in the spring at the end of recoil (P = kx² ) 2 = Kinetic energy lost by the gun barrel ( T = kx2) P = kx²=T =; kx? %D
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