(Solved): -5-12. Determine the horizontal and vertical components of reaction at the pin \( A \) and at the r ...

-5-12. Determine the horizontal and vertical components of reaction at the pin \( A \) and at the rocker \( B \). -13. Determine the reactions on the beam at \( A \) and \( B \). 5-22. If the intensity of the distributed load acting on the beam is \( w=3 \mathrm{kN} / \mathrm{m} \), determine the reactions at the roller \( A \) and pin \( B \). 5-23. If the roller at \( A \) and the pin at \( B \) can support a load up to \( 4 \mathrm{kN} \) and \( 8 \mathrm{kN} \), respectively, determine the maximum intensity of the distributed load \( w \), measured in \( \mathrm{kN} / \mathrm{m} \), so that failure of the supports does not occur. 5-37. The cantilevered jib crane is used to support the load of \( 780 \mathrm{lb} \). If \( x=5 \mathrm{ft} \), determine the reactions at the supports. Note that the supports are collars that allow the crane to rotate freely about the vertical axis. The collar at \( B \) supports the force in the vertical direction, whereas the one at \( A \) does not. 5-38. The cantilevered jib crane is used to support the load of \( 780 \mathrm{lb} \). If the trolley \( T \) can be placed anywhere between \( 1.5 \mathrm{ft} \leq x \leq 7.5 \mathrm{ft} \), determine the maximum magnitude of reaction at the supports \( A \) and \( B \). Note that the supports are collars that allow the crane to rotate freely about the vertical axis. The collar at \( B \) supports the force in the vertical direction, whereas the one at \( A \) does not. The \( 10-\mathrm{kg} \) uniform rod is pinned at end \( A \). If it is subjected to a couple moment of \( 50 \mathrm{~N} \cdot \mathrm{m} \), determine the smallest angle \( \theta \) for equilibrium. The spring is unstretched when \( \theta=0 \), and has a stiffness of \( k=60 \mathrm{~N} / \mathrm{m} \). 5-13. The boom is intended to support two vertical loads, \( \mathbf{F}_{1} \) and \( \mathbf{F}_{2} \). If the cable \( C B \) can sustain a maximum load of \( 1500 \mathrm{~N} \) before it fails, determine the critical loads if \( F_{1}=2 F_{2} \). Also, what is the magnitude of the maximum reaction at pin \( A \) ? Prob. 5-46 5-47. Determine the reactions at the pin \( A \) and the tension in cord \( B C \). Set \( F=40 \mathrm{kN} \). Neglect the thickness of the beam. *5-48. If rope \( B C \) will fail when the tension becomes \( 50 \mathrm{kN} \), determine the greatest vertical load \( F \) that can be applied to the beam at \( B \). What is the magnitude of the reaction at \( A \) for this loading? Neglect the thickness of the beam.