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, ...

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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, 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) =
ft
ft/s
ft
ft
ft
ft
(b) What is the velocity of the mass when t = 3л/16 s?
In which direction is the mass heading at this instant?
downward
upward
(c) At what times does the mass pass through the equilibrium position?
n = 0, 1, 2, ...
Transcribed Image Text: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) = ft ft/s ft ft ft ft (b) What is the velocity of the mass when t = 3л/16 s? In which direction is the mass heading at this instant? downward upward (c) At what times does the mass pass through the equilibrium position? n = 0, 1, 2, ...
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