ven m-50kg and the following dimensions: AB = 1m, BC 3m, angle ACD 30 degrees Draw a free body diagram for bar ABC. b. Find the tension in cable CD.
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- Two weights, A and C, are fixed to a bar, B. Their masses are: A = 60 kg, B = 230 kg,C = 45 kg. B is, in turn, connected to a fixed vertical post by a hinge and a support cableD. The geometry of the system is shown at right. Treat weights A and C as point masses a)What is the tension in support cable D? Be sure to include a detailed freebody diagram to accompany your analysis.b) What is the magnitude of the force provided by the hinge?c) What is the moment of inertia of the A + B + C as a rigid system, for rotationabout the hinge? For analysis, break the beam into a short piece to the left of thehinge, and a separate longer piece to the right of the hinge. If the support cable D on should break,d) what is the angular acceleration of the beam and weights at the moment the cable breaks?e) what is the magnitude of the linear acceleration experienced by each of the weights, A and C, at moment the cable breaks?:)A 1200 N uniform boom at o = 65.0 degrees to the horizontal is supported by a cable at an angle 0 = 25.0 degrees to the horizontal. The boom is pivoted at the bottom, and an object of weight m = 2.00E3 N hangs from its top. Find (a) the tension in the support cable and (b) the components of the force exerted by the floor on the boom (through the hinge).Weight W is supported by pipe AO and cables AB and AC. Find the compressive force in member AO and the tensile force in cables AB and AC, given: W = 400 N, AY = 7 m, AZ = 9 m, BX = 9 m, BY = 7 m, CX = 9 m, CY = 12 m
- A 50 kg pole extends up a wall, making a 60° angle with the wall. The pole is supported by acable attached 3/4 of the way along the pole. This support cable is perpendicular to the wall.A 10 kg sign hangs from the end of the pole. The pole’s center of mass is 1/3 of the way fromthe wall to the end of the pole. (a) What is the tension in the cable?(b) What are the x and y components of the force the wall exerts on the pole?You must include an extended free body diagram showing all forces acting on the pole. Labelthe location on the pole you will use a reference for measuring distances (the “axis of rotation”) at the point where the pole touches the wall. Thank you!Physics for Engineering A uniform bar 3.00 m long is held by ropes at the ends making angle 60.0 and 30.0, respectively, with the horizontal. A weight of 200 N is hung 0.500 m from the left end where the 60.0 rope is attached. Find the tension in the ropes (T1 & T2) and the weight (W) of the bar. (Hint: Formulate three equations for the three unknowns, 2 equations for the 1st condition and 1 equation for the 2nd condition.)A horizontal L=1.2 m long mb=14 kg uniform bar is hinged on the left end and pulled at the right end by a cable. The cable makes 23° angle with horizontal. A 24 kg store sign is suspended below the bar at d=0.18 m from the right end. Find the magnitude of horizontal hinge force.
- Answer FOUR questions ONLY selecting TWO questions from SECTION A. 1. (a) The vertical structure ABCD shown in Figure 1(a) is subjected to a system of coplanar forces and a moment. The structure is simply supported at D with a frictionless pin and is roller-supported at A. i Sketch the free body diagram (FBD). Take moments about D and hence find the reaction force at support A. ii. 35 AN 23m 60 100 km Osm Figure 1(a) (b) An assembly of a steel bar enclosed within an aluminium alloy tube is shown in Figure 1(b). The tube and the bar are of the same initial length. The combination is compressed between two rigid parallel plates by a force of 500 kN. The diameter of the steel bar is 40 mm, and the inside and outside diameters of the alloy tube are 60 mm and 100 mm respectively. The Young's moduli for steel and aluminium alloy respectively are Est = 200 GNM2, EA = 70 GNm?. Find the stresses generated in the steel bar and the aluminium alloy tube. Sael he -Rid pl Figure 1(b)A square body of side L-1 with one vertex on origin is in static equilibrium. It is subjected to body force per -axi - ayj, a unit area as , a = 1. The sides AB and BC are traction free whereas traction is uniform on the sides AB and AD with magnitudes qAB and qAD, with direction as shown. What are the values of qAB= and and QAD ? What are the values of ox= Oxy problem] 9AD D == Traction free с qAB Traction free B at point with coordinates x = y = [Assume no shear forces for thismb: L d- ms A horizontal L=1.2 m long mb=12 kg uniform bar is hinged on the left end and pulled at the right end by a cable. The cable makes 31° angle with horizontal. A 18 kg store sign is suspended below the bar at d=0.18 m from the right end. Find the magnitude of vertical hinge force.
- A board of mass mand length l is attached to a wall and a rope that makes an angle of theta, as shown. A block of mass M hangs from the right end of the board. Suppose m = 2.0kg, L = .60m, M = 0.50kg, and angle(theta) = degrees. a. Using numbers, what is the magnitude of the tension force in the rope connecting the board and wall? b. Using numbers, what is the magnitude of the force applied by the hinge? c. Using numbers, in what direction does the force applied by the hinge point?A gymnast holds a steady handstand on the top of the uneven bars as shown. ITNEASTICS a. As long as the gymnast grasps the bar and holds this position, how many degrees of freedom are represented by this system? (explain) b. The 2.5 m bar has a 3.5 cm diameter, a linear density of u = 8 kg/m and a modulus of Elasticity of E = 8000 MPa, and the gymnast has a mass of 45 kg. What is the static deflection of the midpoint of the bar? c. What is the dynamic equation for the vertical motion of the bar about the static equilibrium point as the gymnast holds this position? d. What is the characteristic equation and natural frequency of the motion?I need help please Two gondolas on a ski lift are locked in the position shown in the figure while repairs are being made elsewhere. The distance between support towers is L = 100 ft. The length of each cable segment under gondola weights WB = 450 lb and WC = 650 lb are DAB = 12 ft, DBC = 70 ft, and DCD = 20 ft. The cable sag at B is ΔB = 3.9 ft and that at C(ΔC) is 7.1 ft. The effective cross-sectional area of the cable is Ae = 0.12 in2.(a) Find the tension force in each cable segment; neglect the mass of the cable.(b) Find the average stress (s) in each cable segment.