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- Solve the preceding problem for the following data: b = 8.0 in., k = 16 lb/in., a = 45°, and P = 10 lb.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?Solve the preceding problem for the following data: b = 6 in., b = 10 in, L = 110 ft, tan a = 1/3, and q = 325 lb/ft.
- In the simple cage system in the figure, which of the following is the absolute value of the force carried by the CE element in kN?The simplest truss consists of two rods and is loaded by the block. Given: block weight Q = 2,2 kN. Angle α = 39 degrees. Find: the algebraic (positive or negative) value (in kN) of normal force N2 in the rod 2, considering that N2>0 for tension and N2<0 for compression.A horizontal board weighing Wb = 600 N is hinged to a vertical wall. A personweighing Wp = 400 N stands at the end of the board 5 m from the wall. A rope is attached to theboard at a point 3 m from the wall and makes an angle of θ = 40° with theboard. Determine the tension (T) in the rope
- Question 2) The figure shows a mechanical model of the Russel fracture traction device and the leg. The leg is held in balance in the position indicated by the two weights attached to the two cables. The combined weight of the leg and the cast is W=210 N. The horizontal distance between points A and B where the cables are attached to the leg is L=100 cm and the vertical distance is d=6 cm. Point C is the center of gravity of the cast and leg at three quarters of the L measured from point A (3L/4= 75 cm). The angle that cable 2 makes with the horizontal is measured as β=33°. Accordingly, in order for the leg to remain in balance in the shown position; a) Find the tensile force T1 in cable 1. (Write your result in N) b) Find the tensile force T2 in cable 2. (Write your result in N) c) Find the angle α of cable 1 with the horizontal. Response2 Find the force P that must be applied in order for the mechanism shown in the figure to remain in balance at the β angle, using the virtual works method. The mass per unit length of each bar is m.a ladder whose length L is 12 m and whose mass is 45 kg rests against a wall. Its upper end is a distance h of 9.3 m above the ground, as in the Figure. The center of gravity of the ladder is one-third of the way up the ladder. A firefighter whose mass M is 72 kg climbs halfway up the ladder. Assume that the wall, but not the ground is frictionless. What forces are exerted on the ladder by the wall and by the ground?
- Consider a system of two springs, with stiffnesses k1 and k2, arranged in parallel as shown in the figure. The rigid bar to which the two springs are connected remains horizontal when the force F is zero. Determine the equivalent spring constant of the system (ke) that relates the force applied (F) to the resulting displacement (x) as F = kex Note: Because the spring constants of the two springs are different and the distances l1 and l2 are not the same, the rigid bar will not remain horizontal when the force F is applied.d=1.50m, cable doesnt stretch and length of it between the 2 springs is 1.80m, frictionless system. m is mass of hanging weight and mp is mass of pulley.The simplest truss consists of two rods and is loaded by the force F. Given: F = 7 kN. Angle α = 50 degrees. Find: the algebraic (positive or negative) value (in kN) of normal force N2 in the rod 2, considering that N2>0 for tension and N2<0 for compression.