Three crates are kept in static equilibrium by the frictionless rope-pulley-spring arrangements (a)-(c), shown in the figure. Each rope supports a constant tension force, T, of 100 lb. The mass of each pulley in the system is 0.5 şlug. The unstretched lengths of the springs in arrangements (a)-(c) are 32 in, 36 in, and 40 in, respectively, and each spring has a stiffness of k = 150 lb/ft. Assuming all ropes are oriented perfectly vertically, and that the thin link that connects the pulleys to the crates can only support a force along the vertical axis, calculate the masses of each crate in arrangements (a)-(c). 36 in (a) (b) VT (c)
Three crates are kept in static equilibrium by the frictionless rope-pulley-spring arrangements (a)-(c), shown in the figure. Each rope supports a constant tension force, T, of 100 lb. The mass of each pulley in the system is 0.5 şlug. The unstretched lengths of the springs in arrangements (a)-(c) are 32 in, 36 in, and 40 in, respectively, and each spring has a stiffness of k = 150 lb/ft. Assuming all ropes are oriented perfectly vertically, and that the thin link that connects the pulleys to the crates can only support a force along the vertical axis, calculate the masses of each crate in arrangements (a)-(c). 36 in (a) (b) VT (c)
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Transcribed Image Text:1. Three crates are kept in static equilibrium by the frictionless rope-pulley-spring
arrangements (a)-(c), shown in the figure. Each rope supports a constant tension force, T,
of 100 lb. The mass of each pulley in the system is 0.5 şlug. The unstretched lengths of the
springs in arrangements (a)-(c) are 32 in, 36 in, and 40 in, respectively, and each spring
has a stiffness of k = 150 lb/ft. Assuming all ropes are oriented perfectly vertically, and
that the thin link that connects the pulleys to the crates can only support a force along the
vertical axis, calculate the masses of each crate in arrangements (a)-(c).
36
in
(a)
(b)
(c)
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