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(b) State the initial value problem describing the mass's motion upon starting from its release, Solution: Displacement y from equilibrium solves the equation given in the lecture y" : = k m y = -500y, the initial values given in the problem are y(0) = 0 and y'(0) = 0.01.

(b) State the initial value problem describing the mass's motion upon starting from its release, Solution: Displacement y from equilibrium solves the equation given in the lecture y" : = k m y = -500y, the initial values given in the problem are y(0) = 0 and y'(0) = 0.01.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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Can you explain step by step how they got the answer to part B

Problem 2: A 100 gram mass, when attached to a spring hanging vertically, stretches the spring 2cm. The mass is then released from the equilibrium position with an initial velocity 1cm/s. Assume that there is no dumping. (a) Determine the spring constant k, Solution: Equating the gravitational force and spring force I get 50Nm-¹. k = mg 10 × 0.1 0.02 Ax = (b) State the initial value problem describing the mass's motion upon starting from its release, Solution: Displacement y from equilibrium solves the equation given in the lecture k -y = -500y, m the initial values given in the problem are y(0) = 0 and y'(0) = 0.01.
Transcribed Image Text:Problem 2: A 100 gram mass, when attached to a spring hanging vertically, stretches the spring 2cm. The mass is then released from the equilibrium position with an initial velocity 1cm/s. Assume that there is no dumping. (a) Determine the spring constant k, Solution: Equating the gravitational force and spring force I get 50Nm-¹. k = mg 10 × 0.1 0.02 Ax = (b) State the initial value problem describing the mass's motion upon starting from its release, Solution: Displacement y from equilibrium solves the equation given in the lecture k -y = -500y, m the initial values given in the problem are y(0) = 0 and y'(0) = 0.01.
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