Spring Force (Hooke's Law) Video Lessons

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Problem: Determine the un-stretched length of DB to hold the 40kg crate in the position shown. Take k = 180N/m

FREE Expert Solution

Calculate the angles as follows:

θ1=tan-1(22)

θ1 = 45°

θ2=tan-1(23)

θ2 = 33.7°

Calculate the net force along the horizontal direction as:

ΣFx=TBDcosθ2-TCDcosθ1-mg0=TBDcos(33.7)-TCDcos(45)-(40)(9.8)TBDcos(33.7)=TCDcos(45)+392TBD=392sin(33.7)+cos(45)[cos(33.7)cos(45)]

TBD = 282.7 N

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Problem Details

Determine the un-stretched length of DB to hold the 40kg crate in the position shown. Take k = 180N/m

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