Question 03: Find the resultant force of the forces shown in the following figure and also the angle which resultant makes with the positive x- axis. 50 N 75 N x 40 N _60° 30°

Q: 5. Let 0 be the angle between vectors ū = (1,3) and i = (5, 2). What is cos 0 and what is sin 0?

A: Angle between two vectors is given by,

Q: Question 1 Find a vector with magnitude 26 in the same direction as (12, -3, 4) O (156, - 39, 52> 3…

A:

Q: PROBLEM 1 P is known to have a value equal to 250 lbs. Using rectangular components, determine (a)…

A:

Q: A. Solve the following problems. 1.) A rectangular plate 12 ft long and 8 ft wide is submerged…

A: Here, note that pressure on the surface of a submerged body can be given by: P=ρgy

Q: Question 2 For what value of t , if any, is the vector (4t, 1) parallel to the vector (4, -1) ?

A: The given vectors are 4t1 and 4-1 are parallel4t1=k4-14t1=4k-k where k is a scalar

Q: Question 2: Calculate the value of expression: sin- cos 2. cos- · tan 2 Question 3: For the given…

A: We have to solve the expression. And in second question we have to find sum of vectors and angle…

Q: PROBLEM 1 Pis known to have a value equal to 250 Ibs. Using rectangular components, determine (a)…

A:

Q: Force Tyler and his cousin Kelly have attached a rope to the branch of a tree and tied aboard to the…

A:

Q: The three forces and the force pairs in the figure are Reduce to a resultant force

A: Given that,

Q: QUESTION 1 (a) Three cables are used to hang the 120 kg cylinder as shown in Figure Q1(a) under…

A:

Q: PROBLEM 2 The man is holding up the 35-kg ladder ABC by pushing perpendicular to the ladder. The…

A: We are entitled to solve only one ques at a time. Given - The man is holding up the 35-kg ladder ABC…

Q: If a child pulls a sled through the snow on a level path with a force of 30 N exerted at an angle of…

A: In the question it is asked to calculate the horizontal and vertical component of force.

Q: Two rods and one cable are attached to the supports at O. If two of the forces are as shown,…

A:

Q: 15. Stump Force Problem Joe Ja Hoe are pulling up a tree stum with a force of 200 pounds anc of 250…

A:

Q: Question 15. Let i = i– 2j+2k and y= 3i+4j–2k be the position vectors of X and Y. Find the angle…

A:

Q: Question 1 2 Let u = 1 2 (i) Find the angle between and v. (ii) Find a vector w of length 2 in the…

A:

Q: 2. Let 0 be an angle between vectors w = i +3j and v = (5,2). What is cos 0? What is sin 0? 11…

A:

Q: Two rods and one cable are attached to the supports at O. If two of the forces are as shown,…

A: Find your answer below

Q: Problem 2-15 Determine the design angle ø(0° < øS 90°) between struts AB and AC so that the 400-lb…

A:

Q: Two forces of magnitude 40 newtons (N) and 60 N act on an object at angles of 30o and -45 o with the…

A: Definition used -             Component of vector -  If a vector F making an angle θ with the…

Q: QUESTION 1 1.1 Solve for v in the triangle below given that AB 4cm. BC 3cm and AC x. TO 4 cm 3 cm

A:

Q: [Question 1] Let A = p cosØ)a, +sin(ø)a, +z*a¸ and B= xya, + ya, + za̟ find 1. A•Bat (2,~,- 3'6 2.…

A: Given:- A=ρ2cos (φ)aρ+sin(φ)aφ+z2 az B=xyax+y2ay+zaz

Q: Two rods and one cable are attached to the supports at O. If two of the forces are as shown,…

A: Given that two rods and one cable are attached to the supports at O.

Q: Two forces of 30 N and 40 N act at an angle of 45° to each other. Determine the magnitude of the…

A: Solution:Let us assume that 30N be at 0° and 40N is at 45°Sum of the horizontal…

Q: What is the magnitude of the vector cos 0 i + sin 0j +1? 00 1 O√2 02

A: We have to find magnitude of the vector cos θ i + sin θ j + 1 k  (not only 1)

Q: de 17 pounds pulling on a suitcase makes an angle of 30° with the ground. Express the force in terms…

A: Please refer to the image below

Q: Find the resultant of the two forces shown ?in fig using cosine and sine laws 14 kN 30 8 kN

A: As per the company policy i can answer only first question for you, more than one answer lead me…

Q: 18. Given the two unit vectors A= fi+ šj-k and B=-ži+ šj+ {k If 0 is the radian measure of the angle…

A:

Q: If two forces of 5 lb. and 8 lb. acting at the same point are equivalent to a single force of 10 lb.…

A: from the resultant 102 = 52 + 82 + 2(8)(5)cosx 100 -25 -64 = 80cosx cosx = 11/80 cosx = 0.1375 x =…

Q: Question 1 2 Let u = -1 (i) Find the angle between ú and v. (ii) Find a vector w of length 2 in the…

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Q: QUESTION 5 The j-component of the vector that has length of 16 and makes an angle of 7T with the…

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Q: help with statistics, complete solution and illustration! thank youu

A: Answer: Given are two forces, to find their moment about the points A and B.

Q: Question 11 Find the unit vector u in the direction of the vector v-3( 0, 3, 4 ). 1 %3D V O A. 15 1…

A: Explained below...

Q: A gardener pushes a lawnmower with a force of 20 N downward and to the right, as shown in the figure…

A: Given: It is given that the force is applied 20 N downward and to the right. The force makes an…

Q: At a county fair truck​ pull, two pickup trucks are attached to the back end of a monster truck as…

A: Solution :-

Q: 3. a) Find the direction and magnitude of an electric field that exerts (a) 4.80 x 10-17 N westward…

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Q: Question 16 Applications person starts walking from home and walks: 4 miles East 7 miles Southeast 6…

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Q: QUESTION 3.) A Trapezoid with midpoints... * In a trapezoid ABCD, U is the midpoint of the side AB,…

A: see below attachments

Q: The vectors F and G represent two forces acting on an object, as indicated in the following figure.…

A: Given: F=6 N, G=5 N, α=50° Consider the figure as follows: Then, x=Gcos α=6cos 50°y=Gsin α=6sin 50°

Q: 1. Forces of 15 N and 10 N are at an angle of 90° to each other. Find, by drawing, the magnitude of…

A: Given: The value of force is 15 N &amp; 10 N. Angle is 900

Q: Question 4 -3' a) Given that BẢ = ( 1 )and BC = 4 (2 ). If |BC| = 2 = V21, calculate the possible…

A: We have to solve the problem

Q: Find the angle 0 between the vectors in radians and in degrees. (Round your answer for part (a) to…

A: Recall: Angle between two vector u→ and v→ is cos θ=u→.v→u→v→.

Q: Question 001: Complete the following question involving the graphs of vectors. A5 Ibs force is…

A: Given that a 5 lbs force is applied to an object at a 5° angle. We have to choose the graph most…

Q: Question 3: Kayla pulls on a rope attached to hersleigh with a force of 200N. If the rope makes an…

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Q: 1.The trolley show below has 3 forces acting on it. Knowing a=30", a) find the magnitude of P for…

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Q: [Question 1] Let A = p² cos()a, +sin(ø)a, + z'a¸ and B= xya, + y°a, + za¸ find 1. A•Bat (2,- 3 6 2.…

A: Given problem is :

Q: your answer as a unit vector. x synt 1300 cos (6) + 25 sin (6) + 300 cos(6) sin(6)

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Q: Situation 1: A car stuck in a ditch is being pulled by two tow trucks. For the car to move, the tow…

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Q: 1. Find the magnitude of the resultant force for the two forces shown in the figure. Round answer to…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.