A uniform stone slab weighs 400 lb and is suspended by 3 cables and subjected to a downward vertical loa as shown in the figure and parameter table. A
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- A uniform bar AB of weight W = 25 N is supported by two springs, as shown in the figure. The spring on the left has a stiffness k[= 300 N/m and natural length Lt=250 mm. The corresponding quantities for the spring on the right are k2= 400 N/m and L^ = 200 mm. The distance between the springs is L = 350 mm, and the spring on the right is suspended from a support that is a distance it = SO mm below the point of support for the spring on the left. Neglect the weight of the springs. (a) At what distance x from the left-hand spring (figure part a) should a load P = 18 N be placed in order to bring the bar to a horizontal position? (b) If P is now removed, what new value of k{is required so that the bar (figure part a) will hang in a horizontal position underweight If? (c) If P is removed and kt= 300 N/m. what distance b should spring ktbe moved to the right so that the bar (figure part a) will hang in a horizontal position under weight II"? (d) If the spring on the left is now replaced by two springs in series (kt= 300 N/m, kt) with overall natural length Lt= 250 mm (see figure part b). what value of k; is required so that the bar will hang in a horizontal position under weight IF?A 150-lb rigid bar AB. with friction less rollers al each end. is held in the position shown in the figure by a continuous cable CAD. The cable is pinned at C and D and runs over a pulley at A. (a) Find reactions at supports A and B. (b) Find the force in the cable.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
- Consider the force P applied at point A on the plate of the figure shown (image 1). Assuming that the weight of the plate is negligible, and that the horizontal force F, as well as the reactions Dy and Dx in the joint D balance the plate shown in the figure. Note: the x-axis is horizontal and the y-axis is vertical and both have their origin at point D. Data: P = 332N The next affirmative is true or false? If the plate had a weight of 332N (applied vertically downwards in the center of the plate), the module of F should be greater than 369.18N, so that it would still remain balanced in that position.In the figure below, a weight W is suspended from point D of a beam AD. The beam is held up by rod BC. Neglect the mass of the beam AD and rod BC. Which of the following is true (select all that apply). Beam AD is a three force member The direction of the force in rod BC (i.e whether the force is tension or compression) is known Beam AD is a two-force member Rod BC is a two-force member 4m 4m The line of action of the force in rod BC is known The magnitude of the force in rod BC is known 3m B D WAs shown, an L-shaped bar is supported by a pin at joint A. The bar's dimensions are aaa = 620 mmmm and bbb = 400 mmmm , and the bar is subjected to a force with magnitude FFF = 5.05 kNkN at joint B. Ignoring the bar's weight, find the actual orientation of the applied force. What is the value of the angle θθtheta?
- The figure shows a kettle bell with a mass of 15kg suspended by three cables. Using the tabulated values below, find the tension in each cable. A L4 B L2. L3- y M value units parameter L1 L2 L3 L4 2 1 4 M 15 kg The tension in cable AB is IN The tension in cable BC is IN The tension in cable BD is E E E EThe Figure shows a bar AB, of length L, which is supported at point A, against the wall andsuspended by a cable at point B, and a weight w is hung from it at end B. The weight of thebar AB and cable weight are negligible. Suppose the weight W and the angles θ1 and θ2are known. What is the direction of the reaction force R of the wall against the barThe simplest truss consists of two rods and is loaded by the block. Given: block weight Q = 9,4 kN. Angle α = 31 degrees. Find: the algebraic (positive or negative) value (in kN) of normal force N1 in the rod 1, considering that N1>0 for tension and N1<0 for compression.
- A cylinder weighing 400 lb is held against a smooth incline by means of the weightless rod AB in the figure. Determine the forces P and N exerted on the cylinder by the rod and the incline respectively. 25° 55° P = 378 Ib, N, N = 418 lb P = 398 Ib, N, N = 408 Ib OP = 387lb, N, N = 428 lb OP = 378 Ib, N, N = 418 Ib INRope BCA passes through a pulley at point C and supports a crate at point A. Rope segment CD supports the pulley and is attached to an eye anchor embedded in a wall. Rope segment BC creates an angle of ø = 64.0 ° with the floor and rope segment CD creates an angle 0 with the horizontal. If both ropes BCA and CD can support a maximum tensile force Tmaz = 165 lb. what is the maximum weight Wmar of the crate that the system can support? What is the angle e required for equilibrium? Express your answers numerically in pounds and degrees to three significant figures separated by a comma. • View Available Hint(s) nν ΑΣφ vec Wmax.0 = lb, degreesConsider the force P applied at point A on the plate of the figure shown (image 1). Assuming that the weight of the plate is negligible, and that the horizontal force F, as well as the reactions Dy and Dx in the joint D balance the plate shown in the figure. Find the Dy and Dx modulus. Note: the x-axis is horizontal and the y-axis is vertical and both have their origin at point D. Data: P = 332N