If u=3i-4j+k and v=i+4j+2k and theta is the angle between them: determine the angle and indicate the quadrant to which it belongs

Q: Find the area of the circle r = 2(sine + cose) by means of double integration.

A: The equation of circle is given as f(r) = 2(sin θ + cos θ) The area of a circle by the above…

Q: Answer the following question: 2. What is the difference between a scalar and a vector with what is…

A: Given data: What is the difference between a scalar and a vector?

Q: ky means the area unconcentrated into a narrow strip parallel to the y-axis [true or false] 1)Fx and…

A: (1) The given statement is FALSE. Explanation: ky means the area concentrated into a narrow strip…

Q: Q.3) For the machine element shown, find the coordinates of the center of volume. 2 in. 1 in. 2 in.…

A: Solution:

Q: * =For the given data shown. A1 =For the given data shown. Ay2 7 in 5 in S in 7 in 3 in 3 in A3 Аз…

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Q: a the magnitude and direction of V where v1= 15 and v238. V1 V2 1500

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Q: In Newton's law of gravitation  If F is a force, m1 and m2 are masses, and r is a distance,…

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Q: if the position of object x1= 15m and x2= 8m the displacement is * negative positive

A: Negative is the correct option.

Q: 60° 45 6kN 9kN

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Q: A line RS of 55 mm in length is inclined to HP by 30o and parallel to VP. One of its end points is…

A: RS=55 cm Scale :1 : 10↓     ↓cm   mm Cos 30°=H.755H.7=55xcos30      =47.63 mm Horizontal…

Q: Determine the magnitude and the direction angles of a vector 11i + 3j – 6k. Magnitude is a = B = and…

A: Given that A=11i+3j-6k

Q: b) * + 4x = 0, x(0) = 5 and x(0) = 0 %3D

A: Given, x¨ +4x=0D2+4x=0It can be written as-m2+4=0m2=-4m=±2iThe solution of the differential equation…

Q: In the figure shown, if (theta)0=78°, F1 = 660 N and F2 = 300 N. determine The magnitude of the…

A: GIven Data F1=660N F2=300 N ∠78°=∠30+x1°∠48°=x1x2+30+48=180x2=102

Q: Trace the curve of y²=x²+5x+7

A: Determine values of Y by substituting different values of x

Q: construct the parallelogram law to show FR=F1 + F2. Then establish the triangle rule, where FR=F1 +…

A: Drawing parallelogram for the given force as shown below - The Resultant force using parallelogram…

Q: 1. determine the value of reacions RAX= RAY= RB=

A: Given data To determine  Reaction at A and B

Q: Determine the unit vector normal to the plane when A and B are equal to  (17)i + (18)j – (12)k  and…

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Q: Find the magnitudes of F2 component along the u axes 70° 30° 45° F = 500 N F = 300 N Your answer

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Q: ation y = 0.25x² is shown in Figur 5 2 m and 3 m respectively, determin

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Q: x ^ (2) + y ^ (2) = 25, what are the coordinates of the center of gravity of the plate of constant…

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Q: For the isoparametric quadrilateral elements shown in Fig. , a) determine Cartesian coordinates of…

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Q: 30. Pistons of an Engine The pistons in a car engine move up and down repeatedly to turn the…

A: Let us consider triangle POQ Apply trigonometry ratio  Secθ=OPOQSecθ=OP2OP=2secθ

Q: determine the centoidal x and y and the moment of intertia with respect to newutral axis. use the…

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Q: If F2=150lb and theta = 55^, %3D determine the magnitude and orientation, measured clockwise from…

A: GivenF2=150lbθ=55o

Q: 38. Find the equation of the plane through Po(2,1,-1) perpendicular to the line of intersection of…

A: The most important point to note in this question is that, the line at the intersection of these two…

Q: Determine the magnitude and the direction angles of a vector 9i + 3j – 7k. Magnitude is and y of

A: Given data: - The vector is v = 9i + 3j - 7k. The coefficient of i is Fx = 9. The coefficient of j…

Q: O Determine the resultant CR) and its direction o ? 10ON 200 N 360 NO9

A: For the above given diagram the angle for the force of 200N is not givenSo assuming it as 60°As per…

Q: If Vx = 7.80 units and Vy = -8.20 units, determine the magnitude of V→.   Determine the direction…

A: Vx=7.80 Vy = –8.20  Find the magnitude and direction.

Q: Q2. Evaluate f, F.n dA, where F = 18zi – 12j + 3yk and A is that part of the plane 2x + 3y + 6z 12…

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Q: 1. Find the resultant and its direction from the x-axis (0,) 7 k 15 k 50 ° 10 k

A: Given:

Q: The angle made by the vector A=i + j with x- axis is * 90° 45°

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Q: Determine the magnitude and the direction angles of a vector – 5i + 3j – 6k. Magnitude is a = B =…

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Q: What is the equation of the circle that has radius of 9 and centre at 3 8)2 O (x+3)°+Cv-8)° – 9 O…

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Q: Find the centre of gravity of a segment of height 30mm of a sphere of radius 60mm.

A: Let O be the center of the given sphere and ABC is the segment of this sphere. As the section…

Q: the volume generated by revolving the triangle whose vertices are (2,2), (4,8), and (6,2) about the…

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Q: Q/Define the terms: (i) Altitude angle (iii) Zenith angle (v) Latitude angle (vii) Hour angle. (ii)…

A: (i) Altitude angle- It is the angle between observer and the sun rays and the horizontal plane on…

Q: Calculate the 1st moment of area and 2nd moment of area for the shape below. The dimensions are…

A: First moment of inertia = Centroid X Area   Second moment of inertia is area resistance to bending…

Q: Find the magnitudes of F, component along the v axes 70° 30° 45° F = 500 N F = 300 N v Your answer

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Q: Determine the angles made by the vector V = -13i+22j with the positive x- and y-axes. Write the unit…

A: Given:V=-13i+22j

Q: Determine the angle, in degrees, between A and B if the component of A on B is -3.45 ax + 7.95 ay +…

A: Given data: A→=-3.45 ax + 7.95 ay + 5.03 azB→=5.12 ax -1.24 ay + 5.90 az Need to determine the angle…

Q: In Fig.B, Determine the magnitude of the resultant force acting on the screw eye and its direction…

A: Let F1=60N, F2=40N and F3=30N Angles made by different forces along X axis and Y axis are given in…

Q: Find the magnitude and direction of F 10 N 5N 10N F 2m 4m 50 N 4m 3m 2m 5m 20N

A: Solution:

Q: second moments=475.15 Determine, using the method of composite areas, the second moments of area of…

A: Given figure

Q: Resolove force in x and y direction

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Q: Determine the following: x, y, Ix, Iy

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Q: -60- 30 25 90 20 80 Dimensions in mm

A: Draw the schematic diagram of the section.

Q: 2–49. Determine the coordinate direction angles of F1. F = 300 N 60° 120 45° 60°- х F2 = 500 N

A: Let us write the force F1 in cartesian vector form. F1=F1-cos60°sin45°i+cos60°cos45°j+sin60°k…