4) Use the parallel axis theorem to determine the second moment of mass about the z-axis through the origin for a thin rectangular plate with base b, and height h. Ул ANS. Z 3 [b² + h²] (kg-m^2) h z' b
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- What is the equilibrant if the resultant is 8N , 150°?Find the scalar x- and y-components of the following displacements in the xy-plane: (a) 300 cm at 127° and (b) 500 cm at 220°.6 - Find the center of gravity M of the three-dimensional homogeneous wire ABCD in the figure using the (x, y, z) coordinate set. The dimensions of the wire are a = 24 cm, b = 36 cm. Which of the following is the correct coordinates of the BC part of the homogeneous wire in the x, y and z axes?A) (36; 12; 24)B) (18; 12; 0)C) (36; 24; 12)D) (36; 12; 0)E) (36; 24; 0)
- Determine and locate the resultant of the system shown in fig (3). If you know that the values of Ax=240 N. Ay=2000 N. F=160 N, N=2400N, W=400 N and M=2N.mA bicycle rider has M. The wheels of the bicycle are at distance l apart and horizontaldistance between the seat and the rear wheel is d. Use principle of virtual work to find the normalreactions on the base of the two wheels when the rider is riding steadily.19 - Find the center of gravity M of the three-dimensional homogeneous wire ABCD using the coordinate set (x, y, z) in the figure. The dimensions of the wire are a = 20 cm, b = 30 cm. Which of the following is the correct coordinates of the BC part of the homogeneous wire in the x, y and z axes?A) (30; 20; 10)B) (30; 10; 0)C) (15; 20; 20)D) (30; 20; 0)E) (30; 20; 20)
- Let A and B be two nonparallel vectors that lie in a common plane S. If C=A(AB), which of the following statements are true: (i) C = 0; (ii) Clies in plane S; and (iii) C is perpendicular to plane S?Determine Ix and Iy for the plane region using integration.For the position vectors P and Q shown, determine the orthogonal component of P Ă— Q in the direction of OA.
- How would the last part of this problem be solved (finding the magnitude of the resultant vector in terms of the two constants given the normalizing term n)?The figure shows a cubical box that has been constructed from uniform metal plate of negligible thickness. The box is open at the top and has edge length L = 28.8 cm. Find the x-coordinate of the center of mass of the box. Find the y-coordinate of the center of mass of the box. Find the z-coordinate of the center of mass of the box.Answer the following question: 2. What is the difference between a scalar and a vector with what is shown in the image.