Truck suspensions often have "helper springs" that engage at high loads. One such arrangement is a leaf spring with a helper coil spring mounted on the axle, as shown in the figure below. When the main leaf spring is compressed by distance y0, the helper spring engages and then helps to support any additional load. Suppose the leaf spring constant is 5.10 105 N/m, the helper spring constant is 3.70 105 N/m, and y0 = 0.500 m.
PICTURE: http://www.webassign.net/sercp9/5-p-026.gif
leaf spring constant k1 = 5.10*10^5 N/m
helper spring constant k2= 3.70*10^5 N/m,
load F = 4.30*10^5 N
compression in the spring yo = 0.5m
a) Let the compression caused by the helper spring =xo
Then k1yo + F = k2xo
substituting the given values findxo
I have done this and the answer is wrong:
(5.10*10^5)(.500)+(4.30*10^5) = 3.70*10^5)xo
=685000/(3.70*10^5)
=1.85 (wrong)
b) The net work done by the compression of thesprings
W = ( 1/2)k2 [xo2 - yo2]
**can't do b) because I don't have the right answer for a)
please help
PICTURE: http://www.webassign.net/sercp9/5-p-026.gif
leaf spring constant k1 = 5.10*10^5 N/m
helper spring constant k2= 3.70*10^5 N/m,
load F = 4.30*10^5 N
compression in the spring yo = 0.5m
a) Let the compression caused by the helper spring =xo
Then k1yo + F = k2xo
substituting the given values findxo
I have done this and the answer is wrong:
(5.10*10^5)(.500)+(4.30*10^5) = 3.70*10^5)xo
=685000/(3.70*10^5)
=1.85 (wrong)
b) The net work done by the compression of thesprings
W = ( 1/2)k2 [xo2 - yo2]
**can't do b) because I don't have the right answer for a)
please help