Draw the following vectors on rectangular coordinate. Then, write the vectors in analytical expression. (Note: take angles as starting from the positive x-axis and rotating in counter-clockwise direction.)
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Draw the following vectors on rectangular coordinate. Then, write the vectors in analytical expression. (Note: take...
What is the sum of the following four vectors in (a) unit-vector notation, and as (b) a magnitude and (c) an angle? Positive angles are counterclockwise from the positive direction of the x axis; negative angles are clockwise. A2.00m 3.00 m j 4.00 m, at 65.0° D -5.00 m, at-235。
Please draw a picture and write out all vectors clearly. Thanks! Vectors A and B lie in an xy plane. A has magnitude 3.2 and angle 139 relative to +x direction; B has components B--6.48 and By -6.50. What are the angles between the negative direction of the y axis and (a) the direction of A (b) the direction of the product A x B,and (c) the direction of A x B 3.00k?
Show work and please explain! 1. Vector addition and subtraction: We are given the magnitudes and directions of the vectors A and B as follows (a) Carefully sketch each vector individually, then sketch the sum C-A+B and sketch the difference D-A B. Try to make the lengths to scale and make the angles relatively accurate. (Use a protractor.) Use trigonometry to find the components of cach of the four vectors A, B, C, and D Use trigonometry to find the...
A 3-m diameter roller gate retains water on both sides of a dam crest as shown below. Axes (x,y) are given in the diagram to indicate the convention for positive values. The origin of your coordinate system (O) is at the base of the roller gate where it contacts the dam. Indicate direction of Forces either with an arrow, writing the direction (ie. Right/left or up/down) or +/- sign indicating what way is positive based on the axes definition given....
Help Greatly Apprecitated. Draw each of the following vectors, then find its x- and y components, d = (1 km, 30 degree left of +y-axis)v = (2 cm/s, -x-direction)a = (15 m/s2, 35 degree left of -y-axis) Suppose C = A + B where vector A has components Ax = 7, Ay = 2 and vector B has components Bx = -4, By = -5.What are the x- and y- components of C? what are the magnitude and direction of...
a) The horizontal force(s) (direction and magnitude) acting on the gate per unit width and draw the pressure distribution diagram(s) [6 marks] b) The vertical force(s) acting on the gate per unit width (Include direction and magnitude). [6 marks] c) If the gate is 5 m long (into the page), calculate the magnitude, direction and angle of the resultant hydrostatic force acting on the gate. [7 marks] d) The net horizontal force acting on the dam per unit width. Include...
HS Mathematics Unit: 03 Lesson t Rotation Angles position, rotation angles are defined on a coordinate in standard terminal ty origin (o 0_ with their vertex (center) at the o Definition Where the rotation angle Located on the Also referred to as Where the rotation angle Term -135 nitvial side- initial side 225° Terrminal side - Positive angles-Angles that go Negative angles Angles that go from 0° from 0° , or stop at the Angles that share a 1) Starting...
1) a) Draw the tail-to-head diagram for the following vectors: A = 10 m at 34 deg, B = 6 m at 165 deg, and C = 8 m at 335 deg. b) Find the resultant with respect to the positive x-axis.
I need #3,4 and 5. Ans is already given Practice Problems in Working with Vectors Add each of the following sets of vectors, using the component method as outlined in this section. All angles given are measured from the positive x axis. 1. Ā: 25 m, 40° B: 42 m, 80° 2. Ā: 25 m/s, 55° 8:30 m/s, 1250 3. Ā: 12 m, 160° B: 18 m, 275° C: 22 m, 195° 4. Subtract C from B B:25 m/s, 120°...
3. Find the sum of the vectors (4,90°) and (6, 180), and write the solution in polar form 2. Rewrite the following vectors in rectangular form a. (8, b. (3, π) 3. If a ball is dropped from a 100 m building, how long will it take to hit the ground? A ball is shot into the air with an initial velocity of 40m/s, what is be the maximum height reached by the ball? 4. inp 5. Extra Credit: Draw...