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The members of a truss are connected to the gusset plate as shown. The forces are concurrent at point O. Take θ = 90∘ and T1 = 7 kN
Determine the magnitude of F for equilibrium.
Determine the magnitude of T2 for equilibrium.
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- A uniform in shape and mass bar AB is supported by a smooth pin at point A. The orientation of the bar is given by angle theta, 0, as shown below. An external force P is applied to the bar at point B. The direction of the force is given by angle phi, q, as shown below. Both angles theta and phi are angles in standard position. Note that 0 <0 < 2n and 0 < p < 2r. The weight of the bar is W; the length of the bar is L. The bar and all forces are in the plane of the page (2D case). The length is in meters and the forces are in newtons. Draw a free-body diagram for the bar AB; use the standard orientation of the Cartesian xy-plane (with positive x-axis pointing right and positive y-axis pointing up). Derive an expression for the net moment about point A in terms of given parameters like W, P, L, 0, and/or p. Simplify the expression using an appropriate identity for trigonometric functions of sums and differences. B. sin(A + B) = sin(A) cos(B) + cos(A) sin(B) sin(A – B) = sin(A) cos(B) –…A uniform rod is attached to a wall by a hinge at its base. The rod has a mass of 3.5 kg, a length of 1.3 m, is at an angle of 31° above the horizontal, and is held in place by a horizontal cord attached to the other end of the rod and bolted to the wall above the base of the rod. (a) Determine the tension in the cord. N (b) Determine the horizontal and vertical components of the force exerted on the rod by the hinge. N FH Fv NA man holds a 183-N ball in his hand, with the forearm horizontal (see the figure). He can support the ball in this position because of the flexor muscle force M→, which is applied perpendicular to the forearm. The forearm weighs 24.5 N and has a center of gravity as indicated. Find (a) the magnitude of M→ and the (b) magnitude and (c) direction (as a positive angle counterclockwise from horizontal) of the force applied by the upper arm bone to the forearm at the elbow joint.
- A particular human hair has a Young's modulus of 3.51 x 10° N/m² and a diameter of 152 µm. If a 209 g object is suspended by the single strand of hair that is originally 19.5 cm long, by how much AL hair will the hair stretch? If the same object were hung from an aluminum wire of the same dimensions as the hair, by how much ALAI would the aluminum stretch? If the strand of hair is modeled as a spring, what is its spring constant khair? AL hair ALAI = Khair 11 6.82 x10-3 Incorrect 3.66 X10-4 Incorrect 372.6 Incorrect m m N/mA rigid bar BCD is connected by link at AC at point C as shown in the figure. The Structure is supported by bolts at A and B that are in the single shear. The bar is loaded by 4kn at point D. Dtermine the resultant foce in link AC.A uniform beam with a mass of 125 kg and a length of 6.00 meters rests on a fulcrum, which is directly under the left end of the beam. A vertically hanging rope is tied to the the beam, 1.50 meters from the right end. The beam is completely horizontal an is in a state of static equilibrium. 1.50 m (a) On the diagram above, label all of the external forces acting on the beam, using arrows. (b) What is the tension in the rope, in units of Newtons? (c) What is the normal force that the fulcrum exerts on the beam, in Newtons?
- The guy wires AB and AC are attached to the top of the transmission tower. The tension in cable AB is 7.1 kN. Determine the required tension Tin cable AC such that the net effect of the two cables is a downward force at point A. Determine the magnitude R of this downward force. Assume a = 39 m, b = 47 m, c = 31 m, and d = 39 m. B Answers: A KN T = 1. R = 1 KNHelp me please The force-torque system acting on O is equivalent to the key acting on A. If R = 600i + 1400j + 700k lb and | C | = 1200 lb ⋅ pie, determine CRa horizontal rod (m=5.2 kg) is hinged to a wall at the left end and three forces are acting on the rod as shown in the figure: the force of gravity (mg), a tension force (T), and the force exerted by the hinge (broken into components Fx and Fy) If theta = 35 degrees, what must T be equal to in order to keep the rod static?
- The drawing shows a uniform horizontal beam attached to a vertical wall by a frictionless hinge and supported from below at an angle θ = 35o by a brace that is attached to a pin. The beam has a weight of 342 N. Three additional forces keep the beam in equilibrium. The brace applies a force P¯ to the right end of the beam that is directed upward at the angle θ with respect to the horizontal. The hinge applies a force to the left end of the beam that has a horizontal component H¯ and a vertical component V¯. Find the magnitudes of these three forces.A uniform rod is attached to a wall by a hinge at its base. The rod has mass of 8.0 kg, a length of 1.8 m, is at an angle of 17° above the horizontal, and is held in place by a horizontal cord attached to the other end of the rod and bolted to the wall above the base of the rod. (a) Determine the tension in the cord. N (b) Determine the horizontal and vertical components of the force exerted on the rod by the hinge. FH = N Fv = NA ladder is leaning against a vertical wall, and both ends of the ladder are at the point of slipping. The coefficient of friction between the ladder and the horizontal surface is ?1=0.165 and the coefficient of friction between the ladder and the wall is ?2=0.153 . Determine the maximum angle α with the vertical that the ladder can make without falling on the ground.