tangent cotangent The following force vectors act on an object: i) 50 Newtons at 45° and ii) 25 Newtons at 330°. Which of the following represents the magnitude of the resultant and its angle relative to the x-axis? * O 75.0 Newtons 87.50° 61.4 Newtons 21.8° 23.4 Newtons 128.3° 12.8 Newtons 337.5

Q: Determine the magnitude and coordinate direction angles of the resultant force. * 0.75 m A- FAR =…

A: The coordinates of point A are (0, -0.75, 3)m. The coordinates of point B are (2cos40, 2sin40,…

Q: Inthe cross (or vector) product F = q V x B we know that q = 1 F = -69i + -27ŷ + -48R 7 = - 8.0î +…

A:

Q: Question 8 Vector Math: The 240 N force can be resolved into non-rectangular components along the u…

A:

Q: 2. Particle A lies on the xy plane and is acted on by the three forces shown. Find the resultant of…

A: We have coordinates of as- A=(2.1,1.8,0) B=(4.5,0,0) C=(1.2,0,0.6) D=(0,0,1.8) For DA- Direction…

Q: Force (N) Magnitude (N) Direction (0) X-component y-component a' 12.0 0.0 12.0 0.0 10.0 90.0 0.0…

A:

Q: 3 Vectors of force A,B,C in a cartesian plane. The vectors are calculated in Newton (N).   The…

A: In this question we have to find the angle of the vector A from negative x-axis. Please give…

Q: Two vectors are given by (A= 3i+Ay j) and (B= 2i +4 j). if the angle between them is 90°, then ?the…

A: Given:A=3i+AyjB=2i+4jAngle ,θ=90°Now,a.→b→=|a|b| cosθIf ,θ=90° ,…

Q: FAC =150 N A FAR = 200 N АВ 3 m 3. 3 m y 2 m 4 m

A: As per guideline we are suppose to do only 3 subpart from multipart question. Please post the rest…

Q: Q10) What is the angle between the two vectors A= 5i+ 6j and B = 31- 3/? A) 109° B) 95 C) 120° D)…

A: Given data The vector A is given as A→=5i^+6j^. The vector B is given as B→=3i^-3j^.

Q: What is the sum of the following four vectors: a. In unit vector notation b. as a magnitude and an…

A: The vectors are given as: A→=(3 m)i+(5 m)jB→=[(3 m)cos178°]i+[(3 m)sin178°]j=(−2.998 m)i+(0.1047…

Q: two vectors perpendicular

A:

Q: Three forces F, E, and F, ,act through the points with position vectors r, 1, and r, respectively,…

A:

Q: The three vectors in the figure have magnitudes a = 2.60 m, b = 2.70 m, and c = 10.0 m and angle 0 =…

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

Q: What is the magnitude of the cross product of the following vectors? A = -2i+ 3R B = 3j- 48 O 181 O…

A:

Q: 6. Position vectors of two particles, A and B are given: A = 31 + 4j + 5k meters B = -4i + 2j - 7k…

A: Given data A=3i+4j+5kB=-4i+2j-7k Given that the third vector C is the cross product of vectors A and…

Q: Q20) What is the angle between the two vectors Ä = 5i + 6j and B = 3i – 3j? A) 109° B) 95° C) 120°…

A: Given that vector A= 5i =6j and vector B = 3i - 3j. find the angle between vector A and vector B ?

Q: Asynchronous Activity 2: Scalar and Vector REVIEW Elementary and Scalar and Vector Operations and…

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Q: What is the sum of the three vectors in the 2/3 picture: à = (4.2 m)î – (1.5 m)ĵ, ¯ = (−1.6 m)i +…

A: The sum of the three vectors are given by: a→=4.2 i-1.5 j mb→=-1.6 i+2.9 j mc→=-3.7 j mThe sum of…

Q: . Which of the following statement(s) is/are correct?   The angle between vector A and B is 90…

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Q: The angle made by the two vectors S = 37 + 47 +5k and M = 31 +4) + 5k js A 180 B) 45 90 E) No Answer

A:

Q: Determine the magnitude of the y-component of force P (N) if P=104.4 N, Q = 64.4 N , θ= 58.6° and α…

A:

Q: % Part (f) What is the direction of the resultant vector: D+ F?

A:

Q: b- Discuss the following statement whether it is correct or not. Please explain your answer. "In…

A: Any vector can be represented as the sum of  its tangential component and its normal component.…

Q: F, = 50 N F,= 30 N %3D 15° F= 80 N

A: Forces on the support in cartesian form. Given, F1=50 NF2=80 NF3=30 Nθ2=15o

Q: C A 2.4 т 2.8 т B 3.1 m

A: Given thatCO=3.1 mBX=2.4 mBY=2.8 m

Q: Summation of Forces Forces are given; Force 1 = 12 N @ 110° Force 2 = 15 N @260° Force 3 = 5 1 - 6…

A: First we have to resolve the forces into Cartesian co-ordinates then simply adding x and y…

Q: 1. Let us name three perpendicular directions as rig and toward you as you might name them when you…

A: Solution

Q: Given two force vectors F = -6i + 20j + 3k and F = -8î - 24ĵ + 9k . 1. F + F = j + k %3D 2. 3F, –…

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Q: Determine the components of the force acting parallel and perpendicular to the axis of the pole.

A: Force, F = 600 lb Co-ordinates of Point O and A: O (0,0,0) and A(-4,4,2)

Q: Two forces of magnitude 2F and the square root of F act such that the resultant force is squa root…

A: The dot product is the sum of the product of the corresponding entries  of these two sequence of…

Q: Resolve a force of 100 N into two components which lie on opposite sides of the force and each of…

A: Given data: The magnitude of force F=100 N. Angle with the axis θ=30∘.

Q: F, = (-30i + 60j + 60k)kN %3D Forces are concurrent at point O. Determine the magnitude of the…

A: Given, Three forces at point O

Q: Determine the magnitude of the y-component of force Q (N) if P=108.8 N, Q = 72.5 N , θ= 42.25° and α…

A:

Q: Consider the following. Perform the indicated operation. 25 - 3d Sketch the given vectors and the…

A: a→ = 3i→ + 5j→b→ = -2i→ - j→c→ = 6j→d→ = -3i→

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

A:

Q: Determine the angle between the force and the line AB. Express your answer in degrees to three…

A: The coordinates of the point,

Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.