Chapter 3, Problem 13P

Show that all diagonal members of the truss carry the same force, and find the magnitude of this force.

The force F=5i+12j+4k lb is applied to the handle of the door. Determine the orthogonal component of F that is perpendicular to the plane of the door.

The homogeneous bar AB weighs 25 lb. Determine the magnitudes of the forces acting on the bar at A and B. Neglect friction.

The pulley-cable system supports the 150-lb weight. The weights of the pulleys and the horizontal bar ABC are negligible. Determine the cable tensions at A and C and the distance x.

The two forces are applied to the end of the boom OA. Determine the force F so that the resultant of the two forces lies in the yz-plane.

Find the forces in the three cable segments and the angles 1,2, and 3.

The supporting structure of the billboard is attached to the ground by a pin at B, and a roller at A. Point G is the center of gravity of the billboard and structure, which together has a weight of 1400 N. To prevent tipping over in high winds, a 1200-kg mass is placed on the structure near A, as shown. Compute the magnitudes of the reactions at A and B if the wind load on the billboard is q = 1200 N/m.

The suspended cylinder has a mass of 95 kg. Determine the x and y components of the reaction at pin B on BC using scalar notation. Determine the x and y components of the force at pin C using scalar notation.

The backhoe and its contents have a combined weight of 300 kN and center of gravity at point G. Find the resulting force in cylinder AE and linkages AB and AD, indicating whether they are in Tension or Compression. Given:  L1 = 300 mm,   L2 = 75 mm,   L3 = 450 mm,   θ = 40 °,   Φ = 60 °.