Put together by AJ and his team yrs ago..
http://www.whyalla4wd.org.au/Shackles.htmlChecking Stretch of Snatch Strap.
If all the Kinetic Energy of the Recovering 4WD is transferred to Elastic Energy in the Snatch Strap then the stretch of the strap can be determined. (Assuming no losses due to friction)
From Energy Conservation,
Kinetic Energy of Recovering 4WD = Elastic Energy in Snatch Strap
KE4WD=PEStrap
3472 J = 1/2 k x2
therefore x = 0.579m
or approximately 6% extension.
And from Hookes Law the Force Stored in the Snatch Straps is,
F = kx
= (2.075 Tonne/m) (0.579m)
= 1.2 Tonne
Determine Speed of Shackle if Snatch Strap Breaks.
If all the Elastic Energy of the Snatch Strap is transferred to Kinetic Energy in the Shackle then the peak Speed of the Shackle as the Snatch Strap returns to it's 9.0m length can be determined. (Assuming no losses due to friction)
From Energy Conservation,
Elastic Energy in Snatch Strap = Kinetic Energy of Shackle
PEStrap = KEShackle
1/2 k x2 = 1/2 m v2
where k = spring constant
x = distance stretched (meters)
m = mass of shackle (kg)
v = velocity of shackle (m/s)
1/2 (20750N/m) (0.579m)2 = 1/2 (0.68kg) v2
v = 101m/s
or Peak Speed of Shackle v = 364 km/h