A horizontal beam consists of two segments, AB and BC, joined by a pin at point B. If a downward force $F$ is applied at point C and the beam is supported at point A, what is the primary function of the pin connection at B?

When using a spanner wrench whose two ends fit loosely into the smooth slots of a bolt head (as shown in Figure 1), which of the following best describes the type of force the wrench applies to the bolt head?

Two blocks of masses $m_1$ and $m_2$ are connected by a massless string and placed on a frictionless horizontal surface. If a constant force $F$ is applied to $m_1$ in the direction of the string, what is the tension $T$ in the string between the blocks?

Consider a simple truss consisting of three members forming a right triangle: member AB is horizontal, member AC is vertical, and member BC is the hypotenuse. A load of $1000N$ is applied downward at joint C. The truss is supported at A (pin) and B (roller). Which statement correctly describes the forces in members AB, AC, and BC, and whether each is in tension or compression?

A $60 \mathrm{kg}$ mass is suspended in equilibrium by three cables: cable AB is attached horizontally to a wall, cable AC is attached at an angle of $45°$ above the horizontal, and cable AD is attached vertically upward. What are the tensions in cables AB, AC, and AD? (Assume $g=9.8 m/s^2$.)

A traffic light weighing $2.00\times 102^1$ N is suspended symmetrically by three cables: two cables make equal angles of $30°$ with the horizontal on either side, and the third cable is vertical. What is the tension in each of the two angled cables?

A uniform horizontal beam is acted upon by two couples of equal magnitude but opposite sense at its ends. What is the net effect of these two couples on the beam?

Consider four identical crates, labeled A, B, C, and D, aligned in a row on a frictionless surface and connected by light ropes. A constant horizontal force $F$ is applied to crate D (the rightmost crate), pulling all crates to the right. Rank the ropes (Rope 1 between A and B, Rope 2 between B and C, Rope 3 between C and D) according to the magnitude of the force each exerts on the crate immediately to its left, from greatest to least.