A mass weighing 20 pounds stretches a spring 6 inches. The mass is initially released from rest from a point 9 inches below the equilibrium position.(a) Find the position x of the mass at the times t = £/12, ñ/8, ñ/6, ñ/4, and 9/32 s. (Use g = 32 ft/s² for the acceleration due to gravity.)X(π/12) =x(π/8)==X(π/6) =X(π/4) =x(9л/32) =ftft/sftftftft(b) What is the velocity of the mass when t = 3л/16 s?In which direction is the mass heading at this instant?downwardupward(c) At what times does the mass pass through the equilibrium position?n = 0, 1, 2, ...

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A mass weighing 20 pounds stretches a spring 6 inches. The mass is initially released from rest from a point 9 inches below the equilibrium position. (a) Find the position x of the mass at the times t = /12, /8, /6, /4, and 9/32 s. (Use g = 32 ft/s² for the acceleration due to gravity.) x(x/12) = X(π/8)= X(π/6)= X(π/4)= x(9x/32): = ft ft/s ft ft ft ft (b) What is the velocity of the mass when t = 3/16 s? In which direction is the mass heading at this instant? Odownward O upward (c) At what times does the mass pass through the equilibrium position? , n = 0, 1, 2, ...

A mass weighing 20 pounds stretches a spring 6 inches. The mass is initially released from rest from a point 9 inches below the equilibrium position. (a) Find the position x of the mass at the times t = /12, /8, /6, /4, and 9/32 s. (Use g = 32 ft/s² for the acceleration due to gravity.) x(x/12) = X(π/8)= X(π/6)= X(π/4)= x(9x/32): = ft ft/s ft ft ft ft (b) What is the velocity of the mass when t = 3/16 s? In which direction is the mass heading at this instant? Odownward O upward (c) At what times does the mass pass through the equilibrium position? , n = 0, 1, 2, ...

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter3: Oscillations

Section: Chapter Questions

Problem 3.9P: A particle of mass m is at rest at the end of a spring (force constant = k) hanging from a fixed...

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