Two 3/8 in thick steel plates are fastened "clamped" together by a 1/2 in -13 UNC bolt as shown in the previous figure (i.e. problem 2). When the plates are initially assembled (i.e. before an external load is applied), the bolt is tightened to a torque of 57 ft lb. The "screw coefficient of friction" and the "collar coefficient of friction" are μ = μc = 0.15. The collar diameter d. 1.5d. What maximum external load "F" can be applied to the bolted connection if the minimum allowable clamping force "F" is 2000 lb? The elastic modulus for the bolt is E₂ = 30 x106 psi and the elastic modulus for the plates is E₁ = 26 x10 psi. (Hint: Use Equation 10.14 Pg 401 (Textbook) and Figure 10.28 Pg 402 (Textbook) to determine the bolt stiffness k, and the clamped member stiffness k. Assume that the threads stop immediately above the nut.) Ans. Fe 6131 lb d₁ 30° Conical effective clamped volume d3- (Hexagonal bolt head and nut)

Learning Goal: To understand the concept of moment of a force and how to calculate it using a vector formulation. A man wishes to spin a merry-go-round in the x-y plane centered at the origin (0.000, 0.000, 0.000). (Figure 1) Because he must pull upward and cannot stand on the merry-go-round, he must apply a force in the direction of the unit vector u = (-1/3)i+(2/3)j+(2/3) k. He pulls with a force F = 47.0 lb from point A[(3.00, 4.00, 0.000) ft]. Part A What are the x, y, and z components of the resulting moment acting on the merry-go-round about the origin? Express your answers numerically in pound-feet to three significant figures separated by commas. ► View Available Hint(s) VE ΑΣΦ Mz, My, M₂ = Submit Part B Complete previous part(s) Provide Feedback vec ? lb-ft

Problem 3: The RPH robot of Figure 3 is shown in its zero position. Determine the end- effector zero position configuration M, and the screw axes S; in {s}. n. F -inta. Sorowo- Zs {s} Xs L₁ ŷs Lo 0₁5 L2 02 {b} zb 103 pitch h = 0.1 m/rad Ấb ŷb L3 Figure 3: An RPH open chain shown at its zero position. All arrows along/about the joint axes are drawn in the positive direction (i.e., in the direction of increasing joint value). The pitch of the screw joint is 0.1 m/rad, i.e., it advances linearly by 0.1 m for every radian rotated. The link lengths are Lo = 4, L₁= 3, L2= 2, and L3= 1 (figure not drawn to scale).

Please solve 509 and 510, thanks!