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A 10-kg mass is attached to a spring, stretching it 0.7 m from its natural length. The mass is started in motion from the equilibrium position with an initial velocity of 1 m/sec in the upward direction. Find the non negative arbitrary constant, if the force due to air resistance is -90v N. The initial conditions are x(0) = 0 (the mass starts at the equilibrium position) and i(0) = -1 (the initial velocity is in the negative direction). Use 1 decimal palce. 0.2

A 10-kg mass is attached to a spring, stretching it 0.7 m from its natural length. The mass is started in motion from the equilibrium position with an initial velocity of 1 m/sec in the upward direction. Find the non negative arbitrary constant, if the force due to air resistance is -90v N. The initial conditions are x(0) = 0 (the mass starts at the equilibrium position) and i(0) = -1 (the initial velocity is in the negative direction). Use 1 decimal palce. 0.2

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A 10-kg mass is attached to a spring, stretching it 0.7 m from its natural length. The mass is started in motion from the equilibrium position with an initial velocity of 1 m/sec in the upward direction. Find the non negative arbitrary constant, if the force due to air resistance is -90v N. The initial conditions are x(0) = 0 (the mass starts at the equilibrium position) and i(0) = -1 (the initial velocity is in the negative direction). Use 1 decimal palce. 0.2
Transcribed Image Text:A 10-kg mass is attached to a spring, stretching it 0.7 m from its natural length. The mass is started in motion from the equilibrium position with an initial velocity of 1 m/sec in the upward direction. Find the non negative arbitrary constant, if the force due to air resistance is -90v N. The initial conditions are x(0) = 0 (the mass starts at the equilibrium position) and i(0) = -1 (the initial velocity is in the negative direction). Use 1 decimal palce. 0.2
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