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![y
F
30°
In
(a) The vector F above can be expressed in terms of i and j components (unit vectors in the
x and y directions respectively) as F = -40 i +60 j N
Express F as a vector in terms of the y and h directions.
[5 Marks]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3783bafe-6830-4e64-91f4-2755ebe82ee4%2Fd4ebc64e-3a60-443f-81c7-2528a92b532b%2Fqptc2zf_processed.jpeg&w=3840&q=75)
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- what is the meaning of "rab" / "|rab|"? How did it find the coordinates of Rb and Ra? (2.4, 1.5, 0) - (1.6, 0, 2)? If possible, show again the whole solution with explanation.TAKE T= 9 U= 2Given the figure, AB=5m, BC=8m and AG=7m and pt 0 is origin. Determine the following: • What is the magnitude of R and Cr in pt G? (Unit must be in N and kN-m) • What is the magnitude of R and Cr in pt 0? (Unit must be in N and kN-m) • Unit Vector of R in the system. • Direct Cosines of Cr in pt 0.
- J 5: !!!Please show it mathematically, not theory(x^2+y^2) +2xydy=0 what type of equation is thisLight from a source A at (−1, 1) is reflected by a plane mirror placed along the x-axisto a receiver B at (2, 2).(a) For a given point (x, 0) between A and B on the x-axis, find the distance betweenA and (x, 0) and the distance between B and (x, 0). Your answers should dependon x.(b) Denote by D(x) the sum of the two distances you found in the part (a), thoughtof as a function of x. Find D0(x).(c) Find the absolute minimum of D(x) on the x-interval [−1, 2].(d) The light from source A reflected by the mirror to receiver B will travel theshortest distance possible (more precisely, light will obey Fermat’s principle). Atwhat point P on the x-axis between A and B does the light hit the mirror?
- question a,b,c ty For any vector quantity, be sure to always include the magnitude and direction(teacher asked)question c pls For any vector quantity, be sure to always include the magnitude and direction(teacher asked)(3a)The first time derivative of vector A cross vector B is equal to the first time derivative of vector B cross vector A. The first time derivative of vector A cross vector B is equal to the first time derivative of vector B cross vector A. True False (b) Suppose you're interested in the first time-derivative of velocity vector v(t) = (5t2)i + (2t)j. Which of the following expressions represents the first time-derivative of two times v(t)? Suppose you're interested in the first time-derivative of velocity vector v(t) = (5t2)i + (2t)j. Which of the following expressions represents the first time-derivative of two times v(t)? (10t)i + (2)j (20t)i + (4)j (10)i (5/3)(t3)i + (t2)j
- Describe the following homogeneous transformation: T= 1) There is no correct answer.2) It represents a rotation by angle β about the x-axis followed by a translation alongthe z-axis.3) It represents a translation of cos β along the x-axis in z-direction.4) It represents a rotation by angle β about the x-axis.For the angle θ, determine the following:(a) the lengths LBE and LAB, in m (b) the angles α and φ, in degrees Parameters: P = 737N, θ = 37°What is the magnitude of only the x component of BG?