Question Considering p1(1,30°,1) and p2(2,0°,2) points in cylindrical coordinates, find the vector A directed from p1 to p2 in cartesian corrdinates with the help of position vectors.

Derive closed-loop transfer function, C(s)/R(s) for the following system by writing all intermediate steps. Directly written answer without necessary intermediate steps will be downgraded to zero! R(s) OKG(s)C(s) H(s)*

Shelly and Kelly Macdonald met up with Sarah and Tara MacNeill to go fishing in Cape Breton. They found two pools in a stream containing speckled trout (assume equal variance), with the Macdonalds at one pool and the MacNeills at the other, and at the end of the day each team had caught (and released unharmed) 5 fish. For each fish they recorded the length and weight, and the data on length (in cm) is summarized below (Give the answers to 2 places past decimal) Team Macdonald MacNeill Mean 18.1 20.35 Std.Dev 1.4 1.9 a.) To test whether or not the fish have the same mean size in the two pools, the null hypothesis will be: HO: 1-X 2 = -2.25 HO: p1-y2 = -2.25 HO: X 1-8 2 = 0 HO: 1-2 = 0 # Tries 0/1 b.) The alternative hypothesis for this test will be: Ha: * 1- 2 = -2.25 Ha: p1-12 + -2.25 Ha: 81-X 2 = 0 Ha: p1-42 = 0 1236 Tries 0/1 c.) What is the pooled estimate of the variance? 1202 Tries 0/5 d.) Compute the value of the test statistic. 1 Tries 0/5

A 50-g weight is hung at the 20-cm mark of a meterstick and a 100-g weight is hung at the 70-cm mark. At what point must the meterstick be supported for it to be in rotational equilibrium? The weight of the meterstick is negligible. O at the 56.67-cm mark. at the 46.67 cm mark. O at the 53.33-cm mark. O at the 43.33 cm mark.

Part A The post is made of Douglas fir and has a diameter of 100 mm (Figure 1) It is subjected to the load of 20 kN and the soil provides a frictional resistance distributed around the post that is triangular along its sides that is, it varies from w=0 kN/mat y=0 m to w= 15 kN/m at y = 2 m. Neglect the weight of the post Determine the force at its bottom needed for equilibrium Express your answer to three significant figures and include appropriate units. HÅ ? Value Units Submit Request Answer Figure 1 of 1 Part B 20KN What is the displacement of the top of the post with respect to a bottom B? Express your answer to three significant figures and include appropriato unito, ? 2 m 0 = Value Units 12 kN/m Submit Request Answer

a hockey puck moving at 7.0 m/s coasts to a halt in 75m on a smooth ice surface. What is the coefficient of friction between the ice and the puck?

​​​​​​​ The bar has a cross-sectional area of \( 1900 \mathrm{~mm}^{2} \) and \( E=250 \mathrm{GPa} \). (Figure 1) Determine the displacement of its end \( A \) when it is subjected to the distributed loading. Express your answer to three significant figures and include the appropriate units. Enter negative value in the case of contraction and positive value in the case of elongation. Figure 1 of 1 X Incorrect; Try Again; 4 attempts remaining