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- zain IQ "ll N N N 89% Di 9:23 ぐ VY Quiz of Anal.. Misan University College of Science Department of Physics Second Stage Quiz of Analytical Mechanics Q: If Ã= fi+2f j and B= fi+2f j+3f k, f is constant, find the angle between these two vectors? Maysam 12:01p äelul 21.02.11 O O(a) What is the sum of the following four vectors in unit-vector notation? For that sum, what are (b) the magnitude, (c) the angle in degrees, and (d) the angle in radians? Positive angles are counterclockwise from the positive direction of the x axis; negative angles are clockwise. E :6.00 m at + 0.900 rad F :5.00 m at - 75.0° G :4.00 m at + 1.20 rad H :6.00 m at - 210° (a) Number i+ j Units (b) Number i Units (c) Number i Units (d) Number i Units(a) What is the sum of the following four vectors in unit-vector notation? For that sum, what are (b) the magnitude, (c) the angle in degrees, and (d) the angle in radians? Positive angles are counterclockwise from the positive direction of the x axis; negative angles are clockwise. ➡️ E: 6.00 m at +0.900 rad F: 5.00 m at -75.0° G: 4.00 m at + 1.20rad H: 6.00m at -210°
- 2. Two vectors A and B are given by à = 2î + 5ĵ + 3k and B = -4î + î + 3k. a. Find the magnitude of Á. || -> b. Find the magnitude of B. c. Find the dot product of the vectors, Á · B. d. Find the angle (smallest) between à & B.o(a) What is the sum of the following four vectors in unit-vector notation? For that sum, what are (b) the magnitude, (c) the angle in degrees, and (d) the angle in radians? Positive angles are counterclockwise from the positive direction of the x axis; negative angles are clockwise. : 6.00 m at + 0.900 rad F : 5.00 m at - 75.0° G : 4.00 m at + 1.20 rad H : 6.00 m at - 210°Problem 9: A thin cylindrical ring starts from rest at a height hj = 75 m. The ring has a radius R = 46 cm and a mass M =2 kg. R h, h,
- (a) What is the sum of the following four vectors in unit-vector notation? For that sum, what are (b) the magnitude, (c) the angle in degrees, and (d) the angle in radians? Positive angles are counterclockwise from the positive direction of the x axis; negative angles are clockwise. E : 6.00 m at + 0.900 rad : 5.00 m at - 75.0° : 4.00 m at + 1.20 rad : 6.00 m at - 210° (a) Number i+ j Units (b) Number Units (c) Number Units (d) Number 25.11 Units rad Click i:fvou vMould lHike to chou l Work foM this quectien Open Chow 1WorlkIn (Figure 1), l = 4 m and n = 4.5 m. Figure 11 B 8 F=600 N 3 m 1 of 1 Part A Determine the angle between the force and the line AB. Express your answer in degrees to three significant figures. 17 ΑΣΦ 0 = Submit Provide Feedback Request Answer vec ?12.0 B = 5.0 F = 20.0 86400 365) %3D 24 (6)60) = Esc 60° A = 10.0 30 30° 53° D = 20.0 37° Assuming the +x-axis is horizontal to the right for the vectors in the figure, find the following scalar products. a. Ā . B- b. Č - (- 3) - c. Dx F- a. (5 x F) - ( x Ã) -
- 9. Vector A has a magnitude of 9.0 and Vector B has a magnitude of 3.0. If the vectors are at an angle of 30.0º, what is the magnitude of the cross product A x B?Find the magnitude of axb if a = 2i +j+3k b = 3i +5j - 2k. 6- Find the angle between the vectors 2i+ j-k and i+2j+k using vector product. 7- Find a.b when 1) a = i -2) +k and b = 31 -4) - 2k (ii) a = 2i +2j-k and b=6i-3j+ 2k (i) Find the magnitude of axb if. a = 2i +j +3k and b=3i +5j- 28. 8- Find the area of the parallelogram whose two adjacent sides are determined by the veetors 9- î +2 +3kand 3î -2) + k. 10- If the projection of Si-j-3k^ on the vectori + 3j + Ak is same as the projection of i" + 3 j° + Ak° on 5i* -j-3k°, find 2? Consider the magnetic force gi ven as : F = q (v x B) Given q = 10- 6 C, v = (3i + 4j) m/s, B = li Tesla. Find the magnetic force. 11- If a.b = jaxb| for unit vectors a and b, then find the angle between unit vectors.One of the following is the vector product of vectors A = 4i + 6j + 8k and B = 6i + 8j – 10k where i, j and k are unit vector %D %3D A. -124i + 88j - 4k B. -24i + 88j - 4k C. -12i + 88j - 4k D. -124i + 88j - 14k