The spring shown has a stiffiness &-200N/mand the crate shown has a mass ma -50kg. Determine the tensions in cables BD and CD when the spring is in equilibrium in the position shown. 2 m- -3 m A) Draw the free body diagram summarizing the forces acting on the ring at B. Do not skip this step. B) Express each of the force vectors in terms of its cartesian components. Be very careful with your signs! C) Write the equations of equilibrium for the system. 2 m D) Solve the system to determine the tensions Teand Tein the cables BD and CD. (HINT: Don't use the spring equation yet!) E) What is the unstretched length of the spring? (HINT: Now use the spring equaton: F-k(l-L} www 図
The spring shown has a stiffiness &-200N/mand the crate shown has a mass ma -50kg. Determine the tensions in cables BD and CD when the spring is in equilibrium in the position shown. 2 m- -3 m A) Draw the free body diagram summarizing the forces acting on the ring at B. Do not skip this step. B) Express each of the force vectors in terms of its cartesian components. Be very careful with your signs! C) Write the equations of equilibrium for the system. 2 m D) Solve the system to determine the tensions Teand Tein the cables BD and CD. (HINT: Don't use the spring equation yet!) E) What is the unstretched length of the spring? (HINT: Now use the spring equaton: F-k(l-L} www 図
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:-3 m-
The spring shown has a stiffiness &-200N/m and the crate shown has a
mass ma -50kg, Determine tire tensions in cables BD and CD when the
spring is in equilibrium in the position shown.
-2 m-
A) Draw the free body diagram summarizing the forces acting on
the ring at B. Do not skip this step.
www
B) Express each of the force vectors in terms of its cartesian
components. Be very careful with your signs!
2 m
C) Write the equations of equilibrium for the system.
D) Solve the system to determine the tensions Teand Tein the
cables BD and CD. (HINT: Don't use the spring equation yet!)
E) What is the unstretched length L of the spring? (HINT: Now use
the spring equation: F-k(l-L)}
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