📘 statics

1. **Problem Statement:** We need to find the magnitude of force $F_2$ such that the vertical reaction force $C_y$ at bearing C is zero, given $F_1 = 696$ lb. 2. **Setup and Assump

1. **Problem Statement:** We need to replace the force system acting on the beam by an equivalent resultant force and couple moment at point $A$.

1. **Problem Statement:** We need to find the reaction forces at points $A$ and $E$ for a truss/frame structure when an upward force $P=740$ N is applied at point $C$. Also, find t

1. **ปัญหา:** คำนวณหาแรง $P$ โดยให้โมเมนต์รอบจุด $B$ เท่ากับศูนย์ 2. **ข้อมูลที่ให้:**

1. **ปัญหา:** คำนวณหาโมเมนต์รอบจุด $B$ จากแรง $T = 28.3$ kN และ $W = 25$ kN ที่กระทำบนโครงสร้างในรูปที่ 3.25 พร้อมบอกทิศทางของโมเมนต์ 2. **สูตรที่ใช้:** โมเมนต์ $M$ รอบจุด $B$ คำนว

1. **Problemstellung:** Wir sollen die statischen Momente der Flächenträgheit $J_x$ und $J_y$ für ein Aluminium-Vierkantrohr mit den Maßen $240$ mm (Höhe), $100$ mm (Breite) und $5

1. **Problem statement:** A non-homogeneous bar AB with weight 230 N slides freely on a frictionless cylindrical surface. Given dimensions are diameter $D=72$ cm, $x=36$ cm, and $y

1. **Énoncé du problème** : Déterminer le moment de la force de 400 lb par rapport au point A. 2. **Formule du moment** : Le moment \( M \) d'une force \( \vec{F} \) par rapport à

1. **Problem Statement:** Find the Magnitude, Direction, and Location (MDL) of the Resultant force with respect to point A for the given forces F1 to F5 acting on a rectangular fra

1. **Problem Statement:** Find the moments of inertia $I_x$ and $I_y$ about the centroidal axes for the given composite shape consisting of three rectangles and one circular hole.

1. **State the problem:** Find the magnitude, direction, and location of the resultant force with respect to point A for the given system of forces.

1. **Problem Statement:** Calculate the tension in cable BC given that the tension in cable EF is 5.0 kip and the weight of the beam is 3.5 kip.

1. **Problem Statement:** Calculate the force in cable AD given the forces in cables AB, AC, and AE, and the coordinates of points A, B, C, D, and E.

1. **Problem statement:** We have four parallel loads on a beam: three known loads and one missing load. The resultant of all four loads is 200 kN downward, located 6 m to the left

1. **Problem statement:** Determine the magnitude of the force $\vec{F}$ (in kN) such that the resultant couple moment about point A is 10 kN.m clockwise, given $\theta = 60^\circ$

1. **State the problem:** We have a crane base with two supports at points A and B. The reaction force at A, $R_A$, is given as 0. There are two downward forces: $W_c = 90.0$ kN at

1. **Problem Statement:** Calculate the reaction force $R_A$ at point A for the garbage truck with the retrieval arm extended, given forces and distances. 2. **Given Data:**

1. **State the problem:** We need to find the components of the force exerted by cable BG on the frame at point B, given the tension in cable BG is 555 N. 2. **Identify coordinates

1. **State the problem:** We have a 260-lb force applied at point A on a rolled-steel section. We want to replace this force with an equivalent force-couple system at point C.

1. **State the problem:** Calculate the moment $M_A$ about point A caused by a force $F = 12$ lb applied at an angle of $30^\circ$ to the hammer handle. 2. **Formula used:** The mo

1. **State the problem:** We have a ladder leaning against a wall with reaction forces at points A and B. Given: