Draw the geometry diagram of vectors, explain how the tension of vectors F1 and F2 acts on the hanging unknown mass. Express the resolved components F1x, F1y, F2x, F2y in terms of m1, m2, g and Ө. (Assuming Ө1≈Ө2=Ө).

Q: Q3:A /let A = 2i-3j + 4k, and B =i-2j + 5k: (1) Find the unit vector UA. (2) Find the normal vector…

A:

Q: Let A= (3.0 m, 200 south of east), B = (2.0 m, north), and C= (5.0 m, 700 south of west). Draw and…

A:

Q: Let us name three perpendicular directions as right, up, and toward you as you might name them when…

A:

Q: A planet of mass 5 x 1024 kg is at location (4 x 1011, -4 x 1011, o) m. A star of mass 5 x 1030 kg…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: A room has the dimensions 10 ft × 12 ft × 14 ft. A fly starting at one corner ends up at a…

A: Note: As per the guidelines, we can only answer three subparts of a question. Sorry for the…

Q: Consider vectors u = 8i-6j and v = 6i + 5j a) Find the component form of vector w =projuv that…

A: Given: The first vector is u = 8i-6j. The second vector is v = 6i + 5j. Part (a) The expression for…

Q: If the tail of vector -d→ were placed at location m, where would the tip of the vector be located?

A: In the figure ,   The tail of the vector d, is at origin (0,0,0)  And its head is at (5,8,7)  Thus…

Q: A chameleon is resting quietly on a lanai screen, waiting for an insect to come by. Assume the…

A:

Q: The magnitude of C is:

A:

Q: Q:1 a)Take any two vectors A and B in three dimensional Cartesian coordinate system of your choice…

A: (a) Consider the vectors are: Take the dot product of vector A and vector B.

Q: F= 50 lb 1. Express the force as a Cartesian vector or Rectangular representation. 2. Given the…

A:

Q: Consider the three vectors A, B, and C (in the same plane) shown in the figure. Graphically…

A: Graphically determine the following

Q: a cube of edge length a sits with one corner at the origin of an xyz coordinate system. A body…

A: (a) coordinates (0,0, 0) is very simple to be identified and clearly it is given as ??̂+ ??̂+ ??̂

Q: Try to imagine your life as a vector quantity. Besides the magnitude, what direction do you think is…

A: If life were a vector quantity, then like vectors, life will also have directions. We can imagine…

Q: give a Graphical Representation: F/N and the best fit line Is the graph a straight line passing…

A: The graph between F and N can be drawn by the following table.The graph is as follows.

Q: b) Convert the vector A= - ax at P(0,2,0) to cylinderical coordinat system.

A: The cylindrical coordinate system (r,φ,z) is shown below:   The transformation between cylindrical…

Q: "ou are given a vector in the zy plane that has a nagnitude of 80.0 units and ay component of 70.0…

A: The magnitude of the vector is C=80 units The y component of the vector is Cy=70 units Assume the x…

Q: ihow how to resolve the force F into components acting along the u and v axes using the…

A: Using cosine rule,

Q: 2. Calculate the total displacement of a cheetah with the following displacement vectors: • Ã = 80…

A:

Q: Now find the components Nx and Ny of N in the tilted coordinate system of Part B. Express your…

A: The figure of projection of vector N on x and y axis is given.

Q: The two vectors A→ = (5.9) i^+(1.8)j^+(2.6)k^ and B→ = (2.1)i^+(5.4)j^+(2.2)k^ define a plane…

A: Given, Vectors,  A→=5.9i + 1.8j+2.6kB→=2.1i + 5.4j + 2.2k

Q: Derive a formula for the centroid of section U in the figure below, in terms of r and h and in…

A: The centroid is a centre point of an object. In other words, if we have to replace the object with…

Q: In the figure above, what are the components of the vector d→? (Express your answer in vector form.)…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Which of the following equations correctly expresses the relation between vectors A, B, C, and D…

A: Given, Vectors A, B, C and D forming a quadrilateral such that vectors C and D are not in same…

Q: In the figure the dashed orange vector is the diagonal of a parallelogram. My question is why is…

A: From the above question its clear that the system (Nelie) is in equilibrium. Nelie is experiencing…

Q: Consider the following vectors: A = 3.0i + 2.0j, B = −7.0i − 4.0j, C = 5.0i − 3.0j. (a) Let R1 = A +…

A:

Q: Consider the two vectors A and B shown in the figure. A What is the direction C = A x B? %3D а. O b.

A: The direction of the vector is, C→=A→×B→ The figure shows two vectors A, B and C is,

Q: a.) Compute the angle 0, between the force vector F and the +z – axis. b.) Determine the vector…

A:

Q: (b) The magnitude of the resultant force acting on the bracket as shown in Figure Q1(b) is to be Fr…

A: We have three forces F1, F2 and F3 where F2=200 N, F3=260 N and resultant Fr=500 N making an angle…

Q: nates of point N. 2) Write the vector KM in terms o

A:

Q: What is the vector product of the following vectors? Show your solution  ?=3?+5?−2?   ???…

A:

Q: Part (f) Find the following vector product ĵ x B.

A:

Q: You are given v(t) for a cart. v(t)=sint+2cost Write the physical description of the cart, find the…

A:

Q: In the graph given below, at the point C, the second derivative ( d?y/dx? ) is B

A: At point C slope is zero and slope is not changing just before and just after point c.

Q: Let A= (3.0 m, 200south of east), B = (2.0 m, north), and C= (5.0 m, 700south of  west).  Draw and…

A:

Q: 3.1 Determine the angle 0. 3.2 Determine (a) the projection of F1 on the line of action of F2 and…

A:

Q: Which of the diagrams illustrates the correct way to add the two perpendicular vectors A and B…

A: To determine: The correct way to add the perpendicular vectors A and B graphically to get C.

Q: What is the y-component of vector E in terms of the angle 0 and the magnitude E shown in (Figure 1)?…

A:

Q: Part (f) Find the following vector product j x B.

A:

Q: Two vectors A and B with the magnitude 750 N and 900 N respectively, which create some angles with…

A:

Q: Consider the plane x + 2y – z = 5 and the vector = 2i - 5j + 3k. a) Find a normal vector to the…

A:

Q: 3. This one is tougher! Consider y' the vector A in the figure to the right, making an angle 0 with…

A: The length of vector A’ is computed as follows.

Q: please explain c）why B is point to east and why Force is pointing inward？？need 3D picture to prove…

A: A wire of mass 10gram and length 50cm carries a southward direction.

Q: Consider the force system acting on particle P as shown. 50 Ν 2F P 135° F 1.1 Determine F so that…

A:

Q: can you answer d please? (d) Draw the velocity vectors, theta and the resultant velocity vector at…

A:

Q: Consider the following three vectors: Part C A= (2,-1,1). B= (3,0,5). and C= (1,4,-2). Calculate the…

A: Here A→=(2,-1,1); B→=(3,0,5); C→=(1,4,-2)  And we are required to find A+B+C, so we can find that by…

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 16j as…

A:

Q: What direction does the vector L point in for a plane rotating?

A: To determine: The direction of the vector angular momentum 'L' that is pointing in a rotating plane