b) Given a ·tanh(x) = 1, where a is a real value. Find the range of a for all real values of x. A cable is supported at two points (A and B) at the same elevation as shown in Figure 2.1, and its c) mathematical model is given in Figure 2.2. It is known that the total length of the cable, Ls, is 40 m with a weight per unit length, w, of 4 kg/m, and a sag, h, of 12 m. The vertical position of the cable, y, and the length of the cable segment, s, between C and a point (x,y), (as shown in Figure 2.2) are given by y-s²=c² s=c•sinh) (1) (2) The horizontal component of the cable tension, To, and the total tension, T, at a position (x,y) are given by (1) (2) To = w'c T= w•y y B s(x,y) h C Figure 2.1 Figure 2.2 1) Determine the distance between the supports (A and B), L. Hint: think about point B, what is the relationship between its x- and y-coordinates and the cable length (s) up to that point? 2) Calculate the tension of the cable at the low point C

b) Given a ·tanh(x) = 1, where a is a real value. Find the range of a for all real values of x. A cable is supported at two points (A and B) at the same elevation as shown in Figure 2.1, and its c) mathematical model is given in Figure 2.2. It is known that the total length of the cable, Ls, is 40 m with a weight per unit length, w, of 4 kg/m, and a sag, h, of 12 m. The vertical position of the cable, y, and the length of the cable segment, s, between C and a point (x,y), (as shown in Figure 2.2) are given by y-s²=c² s=c•sinh) (1) (2) The horizontal component of the cable tension, To, and the total tension, T, at a position (x,y) are given by (1) (2) To = w'c T= w•y y B s(x,y) h C Figure 2.1 Figure 2.2 1) Determine the distance between the supports (A and B), L. Hint: think about point B, what is the relationship between its x- and y-coordinates and the cable length (s) up to that point? 2) Calculate the tension of the cable at the low point C

Name: hi, can you help me with parts b and c 1&2?not a!thank you dyGiven tha
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Description: hi, can you help me with parts b and c 1&2?not a!thank you dyGiven that y = sinh (cos(x)), provide detailed derivation to obtain the expression ofdxa)b) Given a · tanh(x) = 1, where a is a real value. Find the range of a for all real values of x.A ca

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Vectors

Section: Chapter Questions

Problem 3.62AP: After a ball rolls off the edge of a horizontal table at time t = 0, its velocity as a function of...

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