Title PSAD 1 - Statics (2D).pdf ✅

PSAD 1: Statics (2D) Video Transcript SITUATION 1 – Refer to Fig. MECH 18.031 A cylindrical drum 2 m in radius and weighing 1200 N is held by a rigid bar AB as shown. One end of the bar (point A) is hinged, and the other end (point B) is supported by a flexible cable BC. Neglect friction on all contact surfaces. 1. Which of the following most nearly gives the force (N) between the drum and the bar? a. 2700 c. 2400 b. 2000 d. 1800 2. Which of the following most nearly gives the tension (N) in the cable? a. 1668.90 c. 1730.64 b. 1804.34 d. 1947.97 3. Which of the following most nearly gives the reaction (N) at pin A? A. 635.0 c. 645.7 B. 117.4 d. 624.0 Solution: Drawing the free body diagram of the drum with the normal force perpendicular to the supporting surface, Solving for N1: +↑ ∑Fv = 0: N1 sin 30° − 1200 = 0 N1 = 2400 N Solving for the angle: 2θ + 60° = 90° θ = 15° Using tangent function, tan 15° = 2 x x = 7.464 m