Solve for the resultant vector of thefollowing.a = 60 m at 30°b = 30 m at 55°%3DFindΣα Σy Rθ

Answered: Image /qna-images/answer/35f3f3cf-ba66-4b00-9a1a-13db1ae009a6.jpg

Answered: Solve for the resultant vector of the…

Science

Physics

Solve for the resultant vector of the following. a = 60 m at 30 %3D b = 30 m at 55° %3D Find Σε Σy Rθ

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 86AP: For the three-dimensional vectors in the following figure, find (a) GH , (b) GH , and (c) GH .

See similar textbooks

Related questions

Q: Given a two points A(2, -4, 1) and B(0, -2, 0). Find the: a. vector from A to B b. unit vector of A…

Q: 1.1 Find the projection of the vector A=1-2j+ k on the vector B = 4i - 4j+ 7k (note: Bold letters…

Q: shows foun vectoms ,で, with magnilude. A= 5, 6=7, <. 7A e =9, D= 11. Find out angle between 5…

Q: Express the vectors A and B in terms of unit vectors ê, ê2 and êg. Calculate the resultant vector R…

Q: · Find the vector R magnitude and direction based on the following components: your work. Rx = +4.00…

A: Given: THe components of the vector R are: Rx = +4.00 m, Ry = +5.00 m

Q: Consider the displacement vector Ã = (31 +31) m, B = (1-5ĵ) m, and C = (-1+4) m. Use the component…

Q: A displacement vector r→ in the xy plane is 25.0 m long and directed at angle θ = 38.0° in the…

A: Let us consider that the given angle is with the horizontal. Then we are given that,

Q: The x component of a displacement vector r is -155 m, while its y component is -174 m. (a) Find the…

Q: Vectors A, B, and C form the sudes of an isosceles triangle. The angle between two vectors is 130°…

A: Please see the answer below

Q: A displacement vectorr→in the xy plane is 89 m long and directed at angle θ = 23° in the figure.…

A: The magnitude of the vector r is 89 m and the angle made by the vector to horizontal is 23̊. The…

Q: Construct the component vectors (RH, Ry) för of its component Vectors by using the Trigonometry. 1.…

Q: The direction of resultant vector on (A x B):

A: We have to know about vector here.

Q: A = 3 cm, O° 4 cm, 90°

Q: Given the displacement vector D = (4î − 7ĵ) m, find the displacement vector (in m) R so that ,D + R…

A: Given data The vector equation of displacement is D = (4i -7j) m. The relationship between the…

Q: Find the sine of the angle and the unit vector perpendicular to each: Ā = i+j + k and B = 2i + 3j –…

A: Given : A⇀=i+j+k B⇀=2i+3j-k In this question we have to find the sine of the angle between A and B…

Q: Force 1: 82.23 N, west Force 2: 30.28 N, south Find the direction (standard position, positive…

Q: To find the resultant vector's direction; the angle the vector makes with the x-axis can be…

A: Given, Resultant R vector of two forces In this question, we have to find the angle made by the…

Q: 4. Find magnitude and direction (0) of the vector shown. y 9.2 m X -7.5 m

Q: (vector K is 3.0 m north and vector L is 8.6 m southeast) 1-find the resultant vector? 2-find…

A: Given Vector K=3j k L=8.6 southeast

Q: Vector C→ 32 southwest for 94m. Vector D→ 35 north of east for 122m. 2. Find the resultant vector…

A: R = √[ X^2 + Y^2] R = resultant of two perpendicular vector

Q: Vector A s 3.00 units in length and points along the positive x-axis. Vector B is 4.00 units in…

Q: Resolve the vector L into components Lx and Ly if the length of vector L is 15.0 m and its angle is…

A: Given: The length of the vector L→ is 15 m. The vector L→ is making an angle of 157° with the…

Q: Find the vector sum of the following vectors using Analytical method and polygon method. 1.…

Q: Find a direction vector for the line with parametrization r(t) = (4 – 1)i + (2+51)j+ 3rk. %3D

A: The direction vector along a vector is a unit vector in that direction. A unit vector is a vector…

Q: 3. Given the vector A = 3.0 m directed Northeast (45 degrees) and B= 4.0 m directed Northwest at (45…

A: The resultant vector is, The magnitude of resultant vector is,

Q: nts. tude veen 1.49 · For the vectors A and D in Fig. El.28, (a) find the magni- tude and direction…

Q: The figure below shows a vector a in the xy-plane and a vector b in the direction of k. Their…

A: Given a=5b=2

Q: If direction angles are B 96° and y 37°, then get the unit vector. %3D û = ( i +

A: Given : β = 96°γ = 37°

Q: Find the cross products of: 1. vector c x vector d 2. vector d x vector c when c = 12 and d = 14…

A: Cross product of two vector A̅ × B̅ =( AB sinθ ) n̂

Q: without solving, determine on what quadrant will the resultant lie if the force F1 is at 45° from…

A: As magnitude of F1 ,F2 and F3 are not given resultant can lie in any quadrant I , II or III but…

Q: R = Direction of R = Vector C Vector F 50 Vector Z Zx Z₁ = Vector R Rx Ry= test. o relative to the…

Q: A surveyor wants to find the distance across a river. A stake is placed on each bank of the river as…

A: According to the trigonometry tanθ = L30L = 30 tan 75.9°L = 119 m

Q: a/ Draw unit vector gB b/ Determine value of Gnet

Q: In the following right triangle, side c = 25 m and angle theta = 53.13. Find each of the following.…

A: Given: c= 25 m θ= 53.13

Q: Can you please answer this question and show all of the steps

A: The resultant vector is,

Q: A displacement vector r→ in the xy plane is 49.0 m long and directed at angle θ = 28.0°. Determine…

A: A displacement vector is a vector, that shows the direction and distance traveled in a straight…

Q: y! F, = 600 N 30° F, = 300 N 1. Find the resultant force vector R. (you can use "paint" to indicate…

A: solution 1):-

Q: Construct the component vectors (Rµ, Ry) 1or each vector below of its component Vectors by using the…

Q: 1. Find the resultant vector of the three vectors Given: first vector = 270 N along the second…

Q: 10. A displacement vector has a magnitude of r= 175 m and points at an angle of 50.0° relative to…

Q: In cylindrical coordinate system the differential area vector of a cylindrical surface is given by…

Q: Given the vector A = (9.34 i - 55.27 j) m, find the angle that the vector A htakes with respect to…

Q: Find Vector Components using Trigonometry 45° ||D||=11 Find the EXACT components of the vector above…

A: Given data : Magnitude of the vector, D = 11 Angle of the vector with the positive y-axis, θ…

Q: Refer to a right triangle as shown. Two angles, 0 and p, are labeled. Sine o = x/2 for this…

A: We have sine rule,sine(∅)x=sine(90)rGiven Sine(∅)=x2x2x=1r12=1rr=2

Q: The resultant vector (R) must be found before its tilt angle is identified. True False

A: Whenever there is more than one vector, the need of resultant vector comes in to play. Any vector…

Q: Find the Resultant Vector of the following vectors using Analytical method and polygon method.…

A: Analytical method-

Q: 3) Vector A has magnitude 45 and direction 27°. Vector B has magnitude 30 and direction 128°. Find…

A: A = 45 direction 27 degree B = 30 direction 128 degree

Q: Rectangular coordinates of a point are given by (2, y) and its polar coordinates are given by (r,…

A: (2, y) and its polar coordinates are given by (r, π/6) According to the coordinate system 2 = r cos…

Concept explainers

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.

Question

Solve for the resultant vector of the
following.
a = 60 m at 30°
b = 30 m at 55°
%3D
Find
Σα Σy Rθ

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Assuming the +x-axis is horizontal to the right for the vectors in the previous figure, find the following vector products: AC , (b) AF , (c) DC , (d) A(F+2C) , (e) iB , (f) jB , (g)
Given two displacement vectors A=(3.00i-4.00j-4.00K)m and B=(2.00i+3.00j-7.00K)m , find the displacements and their magnitudes for (a) C=A+B and (b) D=2AB .
Vector lies in the xy plane. Both of its components will be negative if it points from the origin into which quadrant? (a) the first quadrant (b) the second quadrant (c) the third quadrant (d) the fourth quadrant (e) the second or fourth quadrants
Assuming the +x -axis is horizontal to the right for the vectors given in the following figure, use the analytical method to find the following resultants: (a) A+B , (b) C+B , (c) D+F , (d) AB , (e) DF , (f) A2F , (g) C2D+3F , and (h) A4D+2F .
If A + B = 0, the corresponding components of the two vectors Aand Bmust be (a) equal, (b) positive, (c) negative, (d) of opposite sign.
Check Your understanding Using the three displacement vectors A , B , and F in Figure 2.13, choose a convenient scale, and use a ruler and a protractor to find vector G given by the vector equation G=A+2BF . The three displacement vectors A , B , and C in Figure are specified by their magnitudes A=10.0,B=7.0 and C=8.0 , respectively, and by their respective direction angles with the horizontal direction =35,=110 , and =30 . The physical units of the magnitudes are centimeters. Choose a convenient scale and use a ruler and a protractor to find the following vector sums: (a) R=A+B , (b) D=AB , and (c) S=A3B+C .
Check Your understanding Three displacement vectors A , B , and F in (Figure 2.13) are specified by their magnitudes A=10.0,B=7.0 and F=20.00 , respectively, and by their respective direction angles with the horizontal direction =35,=110 , and =110 . The physical units of the magnitudes are centimeters. Use the analytical method to find vector G=A+2BF . Verify that G=28.15cm and that G=68.65 . The three displacement vectors A , B , and C in Figure are specified by their magnitudes A=10.0,B=7.0 and C=8.0 , respectively, and by their respective direction angles with the horizontal direction =35,=110 , and =30 . The physical units of the magnitudes are centimeters. Choose a convenient scale and use a ruler and a protractor to find the following vector sums: (a) R=A+B , (b) D=AB , and (c) S=A3B+C .
A small plane flies 40.0 km ma direction 60 north of east and then flies 30.0 km in a direction 15 north of east. Use the analytical method to find the total distance the plane covers from the starting point, and the geographic direction of its displacement vector. What is its displacement vector?
An adventurous dog strays from home, runs three blocks east, two blocks north, and one block east, one block north, and two blocks west. Assuming that each block Is about a 100 yd, use the analytical method to find the dog’s net displacement vector, its magnitude, and Its direction. Assume the +x-axis is to the east. How would your answer be affected if each block was about 100 m?
Suppose you walk 18.0 m straight west and then 25.0 m straight north. How far are you from your starting point? What is your displacement vector? What is the direction of your displacement? Assume the +x -axis is horizontal to the right.
Vector A has a magnitude of 4.50 m and makes an angle of 64.0 with the positive x axis. Vector B, with a magnitude equal to that of vector A, points along the negative y axis (Fig. P3.16). Graphically find the magnitude and direction of the resultant vector a. A+B, b. AB, c. BA, and d. 2AB.
A skater glides along a circular path of radius 5.00 m in clockwise direction. ‘When he coasts around one- half of the circle, starting from the west point, find (a) the magnitude of his displacement vector and (b) how far he actually skated. (c) What is the magnitude of his displacement vector when he skates all the way around the circle and comes back to the west point?