Problem 4 P 60° A 160-lb force P is applied at Point A of a structural member. Calculate (a) the moment of the force with respect to point C. A 1.5 ft D B C 1.25 ft 2 4 ft.
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- The 38-kg homogeneous smooth sphere rests on the 40° incline A and bears against the smooth vertical wall B. Calculate the contact force at A and B. Assume = 40°. Answers: FA = FB: = Ꮎ i 498 307 B N NThe 30-N uniform rod has a length of l = 2 m. If s = 3 m, determine the distance h of placement at the end A along the smooth wall for equilibrium.The uniform beam has a mass of 46 kg per meter of length. Determine the reactions at the supports. A umber of significant digits is 3. The tolerance is ± 1 in the nificant digit. A₂= i Bio By= 2.9 m i N !N N 1.4 m- 300 kg B
- Suppose the length L of the uniform bar is 3.0 m and its weight is 210 N. The block's weight is 340 N and is located at distance x = 0.75 m from the wall, and the angle = 25°. What are the (a) horizontal and (b) vertical components of the force on the bar from the hinge at A? com 4.Structural member AB is to be supported by a strut CD. Determine the smallest length CD may have, and specify where D must be located for a strut of this length to be used. Take x= 120 mm. 60 mm D. y 20 mm E The smallest length CD may have is mm. The coordinates of point Dare ( and Imm.A rectangular cantilever beam AB has point A positioned at the origin of the coordinate system and point B at coordinates (1.2, -0.3, 2.4) m. The vector r₁ = (1î + 12ĵ + 1ê) m is oriented parallel to the thin cross-sectional dimension, and is perpendicular to to FAB (directed along the beam axis AB). Z P a Verify that r₁ is perpendicular to TAB 2 TAB X b Determine the unit vector 2 that is perpendicular to both r₁ and rab and has the orientation shown in the figure. c Assuming that the force P applied to point B of the beam has 1000 N magnitude and direction angles x 144°, 0y = 72°, and 0₂ = 60°; Determine the components of the 1000 N force, namely PAB, P₁, and P2, in the directions AB, 7₁, and 2, respectively. = =