[7] Given the following stress tensor in Cartesian coordinates: [2.74 -2.12 3.69 Sym (a) Find the stress tensor in a new coordinate system rotated 30° around the z-axis. (b) Find the principal stresses and the direction of the 11. [0] = 4.07 −3.02| · 103 ΚΡα 5.05

Cornering force and drag force on tires. Consider a tire that has lateral force behavior like the one in the following figure. Assuming that the drift angle is 4 degrees and the normal force F = 5000N, calculate the cornering and drag forces on the tire.

If n1 is an eigenvector for a strain tensor, show it is also a principal direction for the stress tensor

PROBLEM 3: A pole AB is being lifted using cables BC and BD. The pole is tilted at an angle of 60⁰ from the horizontal (from xy-plane) and the tensions in BC and BD are 26.1 and 11.3 kN, respectively. [7] Determine the coordinates of B. Answer format: (x, y, z) (ANSWER: 6.00, 0.00, 10.39 m) [8] Calculate the magnitude of the resultant of the two tensions BC and BD acting at B. (ANSWER: 36.04 KN) [9] Calculate the directional angle of the resultant of tensions BC and BD acting at B with respect to the z-axis (γ). (ANSWER: 135.969⁰) and with respect to the y-axis (β). (ANSWER: 103.611⁰).