A spider is hanging from silk strands, as shown in the figure. The force of gravity on the intersection point of the three strands is zero. The angle between the strands with tensions T, and T,, is 90°, and T = 0.144 N. (Due to the nature of this problem, do not use rounded intermediate values the spider is 0.158 N and is directed downward, and the two tension forces are directed as shown, so that the resultant force in your calculations-including answers submitted in WebAssign.) (a) What is T, (in N)? (b) What is the angle between the x-axis in the figure and the horizontal? (Enter the smallest positive angle in degrees.) (c) What is the angle between the y-axis in the figure and the horizontal? (Enter the smallest positive angle in degrees.)

In a tug-of-war game on one campus, 15 students pull on a rope at both ends in an effort to displace the central knot to one side or the other. Two students pull with force 196 N each to the light, four students pull with force 98 N each to the left, five students pull with force 62 N each to the left, three students pull with force 150 N each to the right, and one student pulls with force 250 N to the left. Assuming the positive direction to the tight, express the net pull on the knot in terms of the unit vector. How big is the net pull on the knot? In what direction?

Find the angle between vectors for (a) D=(-3.0i-4.0j)m and A=(-3.0i+4.0j)m and (b) D=(2.0i+4.0j+K)m and B=(-2.0i+3.0j+2.0K)m .

Find the magnitude of the tension in each supporting cable shown below. In each case, the weight of the suspended body is 100.0 N and the masses of the cables are negligible.