[Q1] (a) The force P= -40 i + 80 j N located at r= 3 i m is the resultant of a couple C1 = -150 k N.m and 50 N, 60 N , 20 N, 40 N and a fifth force F. Find F and its line of action. 50 N 2 m 60 N }30° 3 m 20 Ν
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A: Given Data F1=5 N F2=8 N F3=6 N F4=10 N F5=3 N
Q: Q.2 The resultant of the force system shown in Figure (2) is a vertical force of 125ON. Determine…
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Q: 450 N 30 200 N m 0.2 ml 1.5 m 2 m 1.5 m 200 N Find the angle of the resultant to force O 30.14° O…
A: FBD of the given condition (with components of 450 N force) can be drawn as shown below:
Q: Z+ F1=10KN F2=8kN F5=12kN F3 = 6 kN 7m Y* 5m 3m F4=9kN Find the resultant of the following force…
A: Given Data F1=10 kN F2=8 kN F3=6 kN F4=9 kN F5=12 kN
Q: find the angle between the vectors u = 2i – 2 j+k, v= 3i + 4k
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Q: 5. Use M = r x F to determine the moment of the force about O. Note: Show r in your diagram. 400 na
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Q: Example 1: The screw in Figure (a) is subjected to two forces, F1 and F2. Determine the magnitude…
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Q: Figure 2 below shows a 400 N force, F, acting on a pipe. 4 m F-400 N 6 m 5 m 4 m Figure 2 i. Find…
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Q: For figure (3): 6 - What is the magnitude of the resultant of these three forces? a) 182.9 N b)…
A: 6. The resultant of three forces is given as : ∑Fx=-300+250cos36.87°-500sin60°=-300+200-433=-533…
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A: GIVEN:
Q: y F1 = 15000 N 40° F2=26000 N 12 30° F3 =36000 N Find the net force in the x- direction none of the…
A: Given, Force F1 = 15,000 N Force F2 = 26,000 N Force F3 = 36,000 N Hypotenuse of force triangle of…
Q: 4. A force of 400 N is exerted 20 cm from the axis rotation. What is the resulting moment of force?…
A: F=400N d=20cm = 0.2m
Q: 1. find the moment of FAs about point OA as cartisian vector. 2.find the moment of FAB about X-…
A: Write the force FAB in cartesian form. Write the expression for the position vector of point A with…
Q: Q1:/Find the magnitude and direction of the resultant of concurrent force system as shown in figure…
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Q: The y-component of the resultant force is about F=400 N F= 200 N 90 150 F 300 N O 75.25N O 74.45 N…
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Q: if T= 296KN a. What is the rectangular representation of force T. b. What is the moment of T about…
A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…
Q: y F1 = 15000 N 40° F2=26000 N 12 30° F3 =36000 N Find the direction of the resultant force 15.7°…
A: As given in question, Force F1 = 15,000 N Force F2 = 26,000 N Force F3 = 36,000 N Hypotenuse of…
Q: F1 = 500 N 4 m O A) 400 k B) 400 j 3 m y O 9 400 i +400 j 2 m F2 = 400 N O D) 400 j+400 k F; =…
A: Given: F1=500NF2=400NF3=-200i^+500j^-300k^
Q: Find the resultant force of the following? 2m 3.5 m F- 600 N 0.5 m Fe 450 N 1.5m 1m 0.5 m 15 m y X
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Q: SIVERSITY CO KIVERSITY 2 KN 6 kN The magnitude of the resultant force is about 8.675 N 6.765 N 5.567…
A: Resultant of two force is given by the following formula, R=[F1^2+F2^2+2*F1*F2Cos(theta)]^1/2 Where…
Q: y F1 = 15000 N 40° F2=26000 N 12 30° F3 =36000 N Find the magnitude of the resultant force 16818.7 N…
A: From the given data,, Force F1 = 15,000 N Force F2 = 26,000 N Force F3 = 36,000 N Hypotenuse of…
Q: QI) At point A, the four forces Fs, Fc, Fp and Fr act, the lines of action for these forces are…
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Q: A force of 400 N is exerted 20 cm from the axis of rotation. What is the resulting moment of force?…
A: The moment can be defined as the product of the distance from the axis of the force and the…
Q: Part A Determine the moment of force F about point O Express the result as a Cartesian vector.…
A: Given: Force F=510 N.
Q: A1/ For the shape below, the Resultant of three forces (200N, F1 :and F2) is 60ON: (a) the force F1…
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Q: A vector B is 10 cm. Iong and has a direction – sense of 45°. Vector C is 15 cm. Iong and has a…
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Q: The rope ABexerts a 46 - N force T on the collar at A Let rCa be the position vector from point C to…
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Q: y F1 = 15000 N 40° F2 =26000 N 5 12 30° F3 =36000 N Find the net force in the y- direction O 3490.7…
A: As given in question, Force F1 = 15,000 N Force F2 = 26,000 N Force F3 = 36,000 N Hypotenuse of…
Q: 34/ Find the point (A) in Figure (3) representing the center o The weight of a homogeneous body, the…
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Q: F3 = 800 N O A) 400 i- 600 jN +800 k Newton O B) 600 i-800 j Newton F2= 500 N 370 O C) 600 i+ 400 j…
A: Given Data F1=1000 N
Q: A B 60 3kN 40° 2 kN Figure: 1
A: It is required to determine the resultant force for given force system at point B
Q: QI/ Find the magnitude and direction of the resultant forces as shown in figure 1, when e-32° ? 200N…
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Q: 3. Vector and Tensors Consider the following tensor: --() 3 2 -1 T = 2 1 1 4. and the vector, v =…
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Q: B/ Determine the resultant of the force system shown in Figure (IB) and show it on a sketch with…
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Q: From the given figure, which force will produce CW moment about point O? F1 = 1N F3 = 2N 1m 2m 30 A…
A: From given figure F1 force will give clockwise moment .
Q: Q1: In the Figure 1, two forces (P & Q) are acting on the same fixed point A. Find the resultant of…
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Q: у - ахis F4 F5 X- axis F1 х- ахis y - axis F3 F1 F2 Figure (1) Figure (2) 250 N 36.87 F2 D 60°! 0.5…
A: Mechanical Equilibrium: A body is said to be in mechanical equilibrium if it satisfies the following…
Q: For figure (2): The arm in is subjected to five forces as follows: F1 = 135 N, F2 = 98 N, F3 = 210…
A: given data: F1=135NF2=98NF3=210NF4=56NF5=??α=400 , β=700 , θ=500 y direction resultant…
Q: 150 N 35⁰ y e 120 N 30⁰ 40⁰ 80 N
A: Here, Force 1 = F1 = 80 N Angle between F1 and x-axis = θ1 = 40o Force F2 = 120 N Angle between F2…
Q: Example (2): Determine the magnitude direction and point of application of the resultant of the…
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Q: For figure (2): The arm in is subjected to five forces as follows: F1 = 135 N, F2 = 98 N, F3 = 210…
A: Given: The magnitude of force 1, F1 = 135 N The magnitude of force 2, F2 = 98 N The magnitude of…
Q: The tube, shown below, is supported by two cables (AB) and (AC). A force F = 100 Ib is applied in…
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Q: a = 1.2 m b = 1.8 m C= 4 m Force AB = 500 Newtons FAB Find the x-component of unit vector AC. (Hint:…
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Q: The figure shows the forces P and Q of 300N and 400 N respectively applied at points B and C.…
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Q: In the Figure 2, the resultant R can be found as: R* Figure 2: R P R² = P² + Q² - 2PQ cos B O True O…
A: GIVEN DATA- A MCQ GIVEN ABOUT RESULTANT OF FORCE
Q: z tK 0.6 m 0.3 m 1o sa D ン C F= 700 N 0.4 m -0.2 m- Note: Poin ts C and D lie on the line of action…
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- It can be show that a plane area may he represented by a vector A=A, where A is the area and represents a unit vector normal to the piano: of the area. Show that the area vector of the parallelogram formed by the vectors a and b shown in the figure is A=ab.Two forces in the x and y directions are given as 5.451 kN and 3.279 kN, respectively. What is the resultant force? Question 15Answer a. 7.45 N b. 7458 N c. 4.341 N d. 6361 N e. 6.31 NThree forces intersect at point (1, 1, 1). Their magnitude and respective second point of incidence are as follows: 450 lbs (4, -3, 7), 600lbs (-1, 5, -4), 300lbs (-3, 6, -2) 1. Compute the direction cosine on the x-axis. a. 0.394 b. 0.124 c. 0.762 d. 0. 513 2. Compute the direction cosine on the y-axis. a. 0.394 b. 0.124 c. 0.762 d. 0. 513 3. Compute the direction cosine on the x-axis. a. 0.394 b. 0.124 c. 0.762 d. 0. 513
- A system of concurrent forces having the following magnitudes and passing through the origin and the indicated points: F1 = 320kN (5, -2, 7); F2 = 200kN (-3, 0, -4); F3 = 440kN (2, 1, -6). What is the angle between F1 and F3?three forces act concurrently on a body. Force A has a magnitude of 200N and points 50°N of W; force B has a magnitude of 100N and points 30° E of N and force C has a magnitude of 300 N and points 40° W of S. What is the magnitude and direction of the resultant R = A - 2B - CThe following term remain constant when external force on the system is zero is
- use the value w=2, x=0, y=2, z=8The following forces act concurrently on a body: A = 50 lb, directed 30 degrees N of E; B = 80 lb, directed NW; and C = 100 lb, directed east. What is the magnitude and direction of the force vector A + B? What is the magnitude and direction of the force vector A + B – C?ᴛʜᴇ ʟᴏᴀᴅ ᴏɴ ᴀ ʜᴇʟɪᴄᴀʟ ꜱᴘʀɪɴɢ ɪꜱ 1214 ʟʙ ᴀɴᴅ ᴛʜᴇ ᴄᴏʀʀᴇꜱᴘᴏɴᴅɪɴɢ ᴅᴇꜰʟᴇᴄᴛɪᴏɴ ɪꜱ ᴛᴏ ʙᴇ 4.2 ɪɴᴄʜᴇꜱ. ʀɪɢɪᴅɪᴛʏ ᴍᴏᴅᴜʟᴜꜱ ɪꜱ 11 x 106 ᴘꜱɪ ᴀɴᴅ ᴛʜᴇ ᴍᴀxɪᴍᴜᴍ ɪɴᴛᴇɴꜱɪᴛʏ ᴏꜰ ꜱᴀꜰᴇ ᴛᴏʀꜱɪᴏɴᴀʟ ꜱᴛʀᴇꜱꜱ ɪꜱ 60,000 ᴘꜱɪ. ɪꜰ ᴛʜᴇ ᴡɪʀᴇ ᴅɪᴀᴍᴇᴛᴇʀ ᴀɴᴅ ᴛʜᴇ ᴍᴇᴀɴ ᴅɪᴀᴍᴇᴛᴇʀ ᴀʀᴇ 0.5 ɪɴ. ᴀɴᴅ 3 ɪɴ., ʀᴇꜱᴘᴇᴄᴛɪᴠᴇʟʏ. ᴅᴇᴛᴇʀᴍɪɴᴇ ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏꜰ ᴀᴄᴛɪᴠᴇ ᴄᴏɪʟꜱ. ᴅᴏɴ'ᴛ ʀᴏᴜɴᴅ ʏᴏᴜʀ ᴀɴꜱᴡᴇʀ ᴛᴏ ᴘʀᴇꜰᴇʀʀᴇᴅ ꜱɪᴢᴇ. ʀᴏᴜɴᴅ ʏᴏᴜʀ ᴀɴꜱᴡᴇʀ ᴛᴏ 4 ꜱɪɢɴɪꜰɪᴄᴀɴᴛ ꜰɪɢᴜʀᴇꜱ
- From a single point, five sets of horizontal wires are radiating , viz , the first due north , the 2nd 75o northwest , the third 75 southwest and the fourth 30 southeast . The tension at these 4 sets of wires is 100 N, 60N, 80 N and 120 N, respectively. Find the direction of the fifth wire, its tension and position. Use Varignon’s theorem to find the moment that the force shown in Fig. exerts about point,B.Consider the subspace plane H spanned by two vectors U1=[-2,1,1] u2=[1,1,1] Find the orthogonal of the vector b = [2,2,2] onto the subspace H Find the orthogonal distance between the vector b and subspace H planeUsing graphical approach, find the actual magnitude and direction of the resultant vector of D, E, F, G, H, I, J vectors. If 1 cm in the paper represents= 10ft/s, what is the magnitude of the resultant vector in ft/s? D= 3.3 cm E= 5.1 cm F= 3.6 cm G= 4.3cm H= 1.4 cm I= 2.35 cm J= 2.5 cm