The rod is supported by ball-and-socket joint D and cables AB, AC as shown in (Figure 1). Suppose that F = 500 N and x = 6 m. A) Determine the tension in the cable AB. B) Determine the tension in the cable AC. C) Determine the x, y, and z components of reaction at support D using scalar notation.

A tree contractor has been hired by a homeowner to remove a k damaged tree from a previous storm. The top of the tree broke off, leaving the trunk in the ground. The arborist will remove the tree by attaching a rope near the top and cutting the base close to the ground. The scenario is shown in the figure. 2 The distances in the figure are z = 14.7 m, h 1.45 m, h y = 5.66 m and x = 10.64 m. If the arborist pulls on the rope 1.. with a force of magnitude F 35.1 N, write the expression X for the torque T with respect to the base P of the tree using ijk unit vector notation, i i = T,i + Tyj + t;k where Tx, Ty» and Tz are the values of the torque components in the x-, y-, and z-directions, respectively. = N•m

Answer a b and c please

The pulley system shown in Figure Q1b lifts a mass, m, of 250 kg. Calculate the force FA necessary to maintain the suspended mass in static equilibrium; and determine the forces at the ceiling anchor points A and B.