Truck suspensions often have “helper springs” that engage at high loads. One suc

Question

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, shown here. The helper spring engages when the main leaf spring is compressed by distance 0, and then helps to support any additional load. Consider a leaf spring constant of 5.25 × 10^5 N/m, helper spring constant of 3.60 × 10^5 N/m, and 0 = 0.500 m. (a) What is the compression of the leaf spring for a load of 5.00 × 10^5 N? (b) How much work is done in compressing the springs?

Explanation / Answer

Use hook's law as Force F = Kx

so

x = F/K

x = 5E5 / 5.25 E5

X = 0.952 m is the compression

FOr Work W = Fx

W=0.952*5E5

W =476000 JOules

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.