ector shown in the figure below have a length of 3m and the angles shown / nd B are 60 and 30 degrees each. Calculate the X-axis and Y-axis componer A 1.50m and 2.59m respectively 3cos60 and 3sin30 respectively 3sin60 and 3sin30 respectively D 2.59m and 1.50m respectively

Al calculate the angles made by the vector (V= 15i - 36j ) with the positive 4 points (x,y) axis , also write the unit vecor n in the direction of V.

In the figure shown the gate in the shape of an arc of a circle of radius 3m has a central angle 45. Find the magnitudes and locations of the components  and  for a 1m length of gate (perpendicular to the paper).

The second moments of area about z-axis, /z, and the second moments of area about y-axis, ly, can be calculated as Select one: O 1. I = Iz ○ 2. Ly ○ 3. ○ 4. ○ 5. = = Iz = *D' 64 I₁ = D, Iz Ly Ly = 32 *D' = = 3 Iz = *D' 32 = *D' O 6. Iy=D, Ly = D², Iz = 32 O 7. Ly = Iz D = 64 32

Problem 1. Three circles are tangent externally. The distance between their centers are 60 m, 73 m, and 85 m. Find the radius of the largest circle. Problem 2. Six congruent circles are arranged in a way that each circle is tangent to at least two other circles. If the radius of each circle is 2 m, find the perimeter of the polygon formed by connecting the centers of each circle. Problem 3 If y varies inversely as z and y = 23 when z = 45,000, find y when z = 54,000. Problem 4 From a window of a building 5.25m above the ground, the angle of elevation of the top of a nearby building is 35.6 degrees and the angle of depression of its base is 28.2 degrees. What is the height of the nearby building? Problem 5 From a point A (Elev. 042.5), the angle of elevation of the top of the tower is 35 degrees, from a point B 325 m nearer angle of elevation of the top of the tower is 55 degrees. What is the elevation of the top of the tower? the tower and 18.65 m below the point A, the

Vector a =4i+3j+7k and vector b = 2i+5j+4k. What is the angle between the two vectors? O 670 O 44.30 O none of these answers O 35.30 27.90

pay attention to the allow and F2 direction on 2a

Solve it correctly please. I ll rate

2. The three displacement vectors in the drawing have magnitudes of A=6.00m, B=6.5m, and C=4.00m. Find the resultant (magnitude and angle) of the three vectors by means of the component method. Express the angle as an angle above the positive or negative x-axis. X. 20.0° 60.0° +X 10 2

Please do this carefully.