"i" rive G 2. Re-derive the angular momentum of problem 1 about G(center of gravith). (*It's hard to read. Please write it so that | can see it well)
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- 1. A pancake body rotates about a fixed origin. Relative to that origin, a point A at FA = az on the object has instantaneous velocity VA = voŷ. At the same instant, a point B at FB = ay has instantaneous velocity UB = -002. (a) What is the angular rotation vector at that instant? (b) What is the velocity of point C at the location c = (+2)? 2. Find the angular momentum vector (magnitude and direction) of the point C in Problem 1 with respect to point B, assuming the point C has a mass m.Position of a particle in a rectangular coordinate system is (3, 2, 5). Then its position vector will be * O 3i + 5j + 2k 3i + 2j + 5k 5i + 3j + 2k O none of these iven vector A = 21 + 31, the angle between A and y-axis is then O arctan (3/2) arctan (2/3) arcsin (2/3) arccos (2/3) The unit vector along i+jisAnswer the following question: 2. What is the difference between a scalar and a vector with what is shown in the image.
- OLScClowHxaMVqbhPU. O 10 Relative to the origin, point P has position vector 3i + j- 4k and Q has position vector i -j+ 3k. What is QP? * 2i - 7k O - 21 - 2j + 7k 3i -j- 12k O 21 + 21 - 7k The vector projection of a vector 3i + 4k on y-axis is Zero Position ofa particle ina rectangular coom nate system is (3. 2.51 ThenNeed some assistance with this. l = 1.95 mm. w= 1.89 mm. h= 5.82 m. Coordinates for Point A is A(2,2,2)m Coordinates for Point D is D(2.25,2.5,0)m Force F acts along EA, (Magnitude is 55N) Force P acTS along AD 1. What is force F in Cartesian Vector form. (Fx, Fy, Fz) 2. If we are calculating the moment that Force F creates about point B, WHAT vectors will be used ? 3. If we are calculating the moment that Force P creates about point B , WHAT vectors will be used ? 4. What is BC as position vector rBC. ( rBCx, rBCy, rBCz ) 5. What is BC as unit vector uBC. (uBCx, uBCy, uBCz ) 6. What is the moment that F creates around B ? (MB) 7. What is the magnitude of the moment that F creates around axis BC. ( |MBC| )5. Find the new location of point G; initially at G = [3 0 -1] If, (i) it is rotated by 60deg. about z-axis and then translated by 3 units along y-axis, and (ii) it is first translated by 3 units along y-axis and then rotated by 60deg bout z-axis. Are the two locations same? Check and justify, whether the final position in two cases is same or different.
- a. What is the position vector that starts at -50j and ends at 50 j? b. What is the position vector that starts at (-50 i - 20 j +10 k) lb and ends at (50 i + 20 j -10 k) lb c. What is the resultant sum of the moments in Cartesian vector form? Round your entries to the nearest whole number.(a) A radar station locates a sinking ship at range 17.3 km and bearing 136° clockwise from north. From the same station, a rescue plane is at horizontal range 19.6 km, 153 clockwise from north, with elevation 2.20 km. (i) Write the position vector for the ship relative to the plane, letting i represent east, north, and k up-direction. (ii) How far apart are the plane and ship? (b) Define cross-product. Outline any two examples of the use of cross-product in our daily life?Figure 1.3c shows the Cartesian Coordinate System x. y and z. Knowing that points D. E and F are at the middle of AC. AU and BC respectively Given p-4 m.q-2m andr4m, identify all the possible position vector(s) if a force directs from point B to point D and rotates about FA-axis (Note: Possible to have more than one answer. Marks will only be awarded when all possible answers are identified) P Figure 1.3c IUF G (0.-2.4) 10.2.4) (4.2.4) 10.4.8) (420) 14.-2,01 14,0,4) 10.-4.8) Figure 1.3c shows the Cartesian Coordinate System xy and z. Knowing that points D. E and F are at the middle of AC. AB and BC respectively Given p-4 m,q-2m and r-4 m. identify all the possible position vector(s), if a force directs from point B to point D and rotates about FA-axis. (Note: Possible to have more than one answer. Marks will only be awarded when all possible answers are identified) Figure 13c 10.-2.41 10.2.-4) (-4,0,4) (0.4.48) 10.-4.8) (4,-2.01
- The three-dimensional models can be rotated about - O z-axis only O x-axis, y-axis and z-axis Ox-axis and y-axis OC.C.W onlyDetermine the following: 1. The position vector of point B with respect to point A: rBA = ( i + j + k)m 2. The unit vector in the direction of vector F: u = ( i + j + k) Express your results using three significant figures.How would you put this into vector form.