15. Rotational Equilibrium

A beam 200 kg in mass and 4 m in length is held against a vertical wall by a hinge on the wall and a light horizontal cable, as shown. The beam makes 53° with the wall. At the end of the beam, a second light cable holds a 100 kg object. Calculate the angle that the Net Force of the hinge makes with the horizontal (use +/– for above/below +x axis, and use g=10 m/s².)

A simply supported beam of length $L$ rests horizontally with a point load $P$ applied at a distance $a$ from the left support and $b$ from the right support, where $P=600lb$, $a=5ft$, and $b=7ft$. Which of the following best describes the shear force diagram for this beam?

A beam 200 kg in mass and 6 m in length is held horizontally against a wall by a hinge on the wall and a light rod underneath it, as shown. The rod makes an angle of 30° with the wall and connects with the beam 1 m from its right edge. Calculate the angle that the Net Force of the hinge makes with the horizontal (use +/– for above/below +x axis, and use g=10 m/s².)

A uniform beam of length $L$ and mass $m$ rests horizontally with one end on a rough floor and the other end leaning against a smooth vertical wall (see Figure 1). Which of the following statements is correct about the forces acting on the beam at equilibrium?