x Jorge luis R- x c Chegg Study I Guided Sol G inch to fit Google Search x c A F
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x Jorge luis R- x c Chegg Study I Guided Sol G inch to fit Google Search x c A First Course In Different A MAP 2302 HW 5.1 C www.webassign ne /web/Student/Assignment-Responses/submit?dep 12781992 cos 4V6 t x(t) Need Help? Read t Chat About It 2. 2 points I Previous Answers ZillDiffEQModAp10 5.1.013 My Notes Ask Your Teacher Under some circumstances when two parallel springs, with constants k1 and k2, support a single mass, the effective spring constant of the system is given by k 4k1k2/(k1 k2). A mass weighing 20 pounds stretches one spring 2 inches and another spring 4 inches. The springs are attached to a common rigid support and then to a metal plate. As shown in the figure, the mass is attached to the center ofthe plate in the double-spring arrangement. 20 lb Determine the effective spring constant of this system Pad Op 160 b/ft Functio Find the equation of motion (t) if the mass is inltially released from the equilibrium position with a downward velocity of 2 ft/s. (Use g 32 ft/ for the acceleration due to gravity.) Relations X(t) D! Vectors Need Help? LReadilt iChat About t Submit Answer Save Progress Practice Another Version 3. 2 points ZillDiffEQModAp10 5.1.023 My Notes Ask Your Teacher A 1 kilogram mass is attached to a spring whose constant is 21 N/m, and the entire system is then submerged in a liquid that imparts a damping force numerically equal to 10 times the instantaneous velocity. Determine the equations of motion if the following is true (a) the mass is initially released from rest from a point 1 meter below the equilibrium position x(t) (b) the mass is initially released from a point 1 meter below the equilibrium position with an upward velocity of 11 m/s 2:12 PM Ask me anything 12/5/2015Explanation / Answer
2)
x(t) can be writen in general form as :
x(t) = A*sin(sqrt(k/m)*t)
where A = sqrt(mv^2/k) = sqrt(20*(2)^2/160) = 0.707 m
So, x(t) = 0.707*sin(2.83*t) ft
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