Subsetting a vector of numerics such that standard deviation is less than 0.5 ?

set.seed(999)
abs(rnorm(20))

[1] 0.28174016 1.31255963 0.79518398 0.27007049 0.27730642 0.56602374
1.87865826 1.26679114 0.96774968 1.12100936 1.32546371 0.13397739
0.93874945
[14] 0.17253810 0.95765045 1.36268625 0.06833513 0.10065765 0.90134475
2.07435711

v <- abs(rnorm(20))
v

[1] 1.2285633 0.6430443 0.3597629 0.2940356 1.1252685 0.6422657
1.1067376 0.8848404 1.5540951 0.1266790 2.3826642 0.6012761 0.1793613
1.0805315 0.2468121
[16] 2.1137370 0.3705275 0.5228678 0.5178055 1.4025109

How do I select numbers from v such that the standard deviation of the
new vector is less than 0.5 ?