Question

A mass weighing 20 pounds stretches a spring 6 inches. The mass is initially released from rest from a point 8 inches below the equilibrium position.

(a) Find the position x of the mass at the times

t = π/12, π/8, π/6, π/4, and 9π/32 s.

(Use

g = 32 ft/s²

for the acceleration due to gravity.)

x(π/12)	=	−14​    ft
x(π/8)	=	−.5    ft
x(π/6)	=	−0.25    ft
x(π/4)	=	0.5    ft
x(9π/32)	=	0.35    ft

(b) What is the velocity of the mass when

t = 3π/16 s?

4

   ft/s

In which direction is the mass heading at this instant?

upward

downward

    
(c) At what times does the mass pass through the equilibrium position?

0

   ,  n = 0, 1, 2,  

Answer 1