In the Figure 4, the moment induced by the 10 kg mass at point A around the point O is (in N.m): Figure 4: 1.5 m 60° A 10 kg الاختيارات 77.5 73.5 75.5 O 71.5 O
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- A circular region of radius R/2 is cut out from the circular region of radius R as shown. For what distance d will kx for the new region be the same as kx (for the region before the cutout was removed?It is common to hang objects on doorknobs and over-the-door hooks. There is a limit to the amount of weight that a door can hold because of the forces exerted on the hinges. A door of height h = 2.5 m and width h/2 has a mass of M = 36 kg. The mass is distributed uniformly, so the center of mass is located at the geometric center of the door. One hinge is located a distance h/4 from the top of the door. The second hinge is a distance h/4 from the bottom of the door. Refer to (a) in the figure. The door’s weight is supported entirely by the two hinges and each hinge supports half of the weight. In other words, the vertical force exerted by each hinge is exactly one half of the total weight, including any additional load. For this problem, take the positive y-direction to be directly upward and the positive x-direction pointing from the hinge side of the door to the knob side. 1.) calculate the force, with its sign in Newtons that the upper hinge exerts on the door in the x axis.…Problem 2/131 2/132 The 180-lb force is applied at point A of the bracket. Determine the moments of this force about point B, about point C, and about the line BC. B. 13" 180 lb 145 60 15" 12" Problem 2/132
- How do you get the resultant moment (63.43 and18.43)? Can you explain it briefly?a = 4 ftb = 3 ftc = 2 ftd = 2.5 ftF1 = {-25i+20j+35k} lbF2 = {-12i-28j+40k} lb Find the x-component of the moment of F1 (in lb-ft) about O. Find the y-component of the moment of F1 (in lb-ft) about O. Find the z-component of the moment of F1 (in lb-ft) about O. Find the magnitude of the moment of F1 (in lb-ft) about O. Find the x-component of the moment of F2 (in lb-ft) about O. Find the y-component of the moment of F2 (in lb-ft) about O. Find the z-component of the moment of F2 (in lb-ft) about O. Find the magnitude of the moment of F2 (in lb-ft) about O. Find the x-component of the resultant moment of F1 and F2 (in lb-ft) about O. Find the z-component of the resultant moment of F1 and F2 (in lb-ft) about O. Find the y-component of the resultant moment of F1 and F2 (in lb-ft) about O. Find the magnitude of the resultant moment of F1 and F2 (in lb-ft) about O.The moment due to the force ‘P’ about ‘O’ as shown in the above figure is____________ a. P × OC b. P × OB c. P × OA d. P × AC
- Find the position of the center of mass of a system formed by four particles of masses m1 = m3 = 2 kg and m2 = m4 = 4 kg, positioned at the vertices of a rectangle with sides a = 2 m and b = 4 m, as shown in figure.The following forces act concurrently on a body: A = 50 lb, directed 30 degrees N of E; B = 80 lb, directed NW; and C = 100 lb, directed east. What is the magnitude and direction of the force vector A + B? What is the magnitude and direction of the force vector A + B – C?Two forces in the x and y directions are given as 5.451 kN and 3.279 kN, respectively. What is the resultant force? Question 15Answer a. 7.45 N b. 7458 N c. 4.341 N d. 6361 N e. 6.31 N
- calculate the resultant of the following two forces: A = 30 g @ 45ᴼ B = 70 g @ 60ᴼThree forces intersect at point (1, 1, 1). Their magnitude and respective second point of incidence are as follows: 450 lbs (4, -3, 7), 600lbs (-1, 5, -4), 300lbs (-3, 6, -2) 1. Compute the direction cosine on the x-axis. a. 0.394 b. 0.124 c. 0.762 d. 0. 513 2. Compute the direction cosine on the y-axis. a. 0.394 b. 0.124 c. 0.762 d. 0. 513 3. Compute the direction cosine on the x-axis. a. 0.394 b. 0.124 c. 0.762 d. 0. 513A member is loaded with force system as shown in figure. Find the Moment about A and B Where F1= 60 N, F2 =35 N, F3 =10 N, F4 =20 N, F5 =20 N, AB =130 m, Point C is in the mid of AE, CD = 40m, AE =90 m. the angle ϴ =35 (i)The moment about the point 'A' (in Nm)= MA = (ii) The moment about the point 'B' ( in Nm) = MB =