Asked by Skyler
The two angled ropes used to support the crate in (Figure 1) can withstand a maximum tension of 1700N before they break. What is the largest mass the ropes can support?
The two angles given are 30 degrees and 45 degrees.
The two angles given are 30 degrees and 45 degrees.
Answers
Answered by
Damon
You have to tell us the angles from vertical or horizontal or what.
if from horizontal
T1 cos 45 = T2 cos 30
.707 T1 = .866 T2
T2 = .816 T1, so T1 is the one that will break
m g = T1 sin 45 + T2 cos 30
m g = .866 T1 + .866 (.816) T1
m g = .866 T1 + .707 T1 = 1.57 T1
m g = 1.57 * 1700 = 2674 N
m = 2674/9.81 = 273 Kg
if from horizontal
T1 cos 45 = T2 cos 30
.707 T1 = .866 T2
T2 = .816 T1, so T1 is the one that will break
m g = T1 sin 45 + T2 cos 30
m g = .866 T1 + .866 (.816) T1
m g = .866 T1 + .707 T1 = 1.57 T1
m g = 1.57 * 1700 = 2674 N
m = 2674/9.81 = 273 Kg
Answered by
s
you are wrong
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