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(II) Redo Example 5–11, precisely this time, by not ignoring the weight of the ball which revolves on a string 0.600 m long. In particular, find the magnitude of
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- Suppose the following three conditions are satisfied: (i) v1, v2, V3, ủ are linearly independent. (ii) V1, V2, V3, ż are linearly independent. (iii) v1, v2, 03 , w, ž are linearly dependent. Which of the following statements must be true? (Select all that apply) span( v1, v2, 03, w) = span(71, 02, V3, Ž ) is a scalar multiple of z. W span( v1, 02, 03, w) = span( 71, v2, V3, ủ, ž) span( v1, v2, v3) = span( v1, v2, 03, w O span( 71, 02, v3) = span( v1, v2, 03, z) O 01, v2, vz are linearly independent.arrow_forward(b) Given, r, = 5i + 12j – 8k, r, = 6i – 9j + 9k and r, = 4i + 3j + 7k. Find the magnitudes of 3r, + 4r, - 3r,.arrow_forward(The complete question is in the picture) Three masses, given by m1 =1.20 [g], m2 = 2.75 [g], and m3 = [4.50][g] are arrangedin a system shown. The first mass is on a plane inclined by some angle θ = 25.0◦, the second mass ison an elevated horizontal surface, and the third mass ison a second plane inclined by some angle ϕ = 65.0◦.Both inclined surfaces have coefficients of kinetic friction µ1 = 0.24, while the horizontal surface has coefficient µ2 = 0.45. Assuming that m3 moves downward,what is the acceleration of the system?A. -1.76 [m/s2]B. 1.87 [m/s2]C. 2.75 [m/s2]D. 4.41 [m/s2]arrow_forward
- Write the (a) given, (b) unknown, (c) formula, (d) sketched illustration (show the triangle formed for sine/cosine law) and (e) complete solution with four decimal places. The ring in a force table is pulled by four vectors W, X, Y and Z. Wherein W is at 30° with 2N of magnitude, X equals 5N at 60° and Y exactly located to west with 3N of force. What must be the magnitude and direction of vector Z if the ring is exactly at the origin and the vector sum of W, X, Y and Z is zero?arrow_forwardDon't want descriptive answer.only answer in A or B or C or Darrow_forwardb) Consider two vectors ä = î - 2] + 3k, and b = 3î - 2zj + 5k, where z is a scalar. vector & such that 3ä 4b-2c = 0.arrow_forward
- sketch the vectors A= -3i+j and B=i+3j [i.e (-3,1) and (1,3). what propety do they share ]arrow_forward(II) is a vector 24.8 units in magnitude and points at an angle of 23.4° above the negative x axis. (a) Sketch this vector. (b) Calculate Vx andVy (c) Use Vx and Vy to obtain (again) the magnitude and direction of V [Note:Part (c) is a good way to check if you’ve resolved your vector correctly.arrow_forward(c) Two uniform stars are separated by 2.36 × 1016 m. The star on the left has a mass of 5.33 × 1028 kg and the star on the right has a mass of 2.76 × 1030 kg. Determine the magnitude of the gravitational force on the star on the right. (d)Consider the two stars from part (c) above. Let the dotted line joining their centers be on the x-axis with the origin at the center of the star on the left. Determine the location of the center of mass of the two-star system.arrow_forward
- If Force B on the x-z plane is equal to 300N and h = 4m and v = 10m, then what is the i and k components of Force B?arrow_forwardThe unit vector from A(4, 2) to the point B(-2, 10) is:arrow_forwardVernie saw a cockroach chilling on the floor at a horizontal distance of 2.5 meters. She prepares to smack the insect with a slipper starting from an angle of 80°. Vernie will let go of the slipper whent = 0 at a vertical height of 1.5 meters. [Disclaimer: This does not encourage animal cruelty. The problem intends to show an illustrative and relatable example for the topics discussed for this course.] a) If the slipper will follow a projectile path with an initial velocity of 6m/s, what is the maximum time that the cockroach can spend chilling on the floor before it gets hit? b) If the cockroach plans to fly after 1.25 seconds, what is the required initial velocity that Vernie needs to apply upon throwing the slipper so that she can hit the insect? c) What is the final velocity of the slipper before it hits the cockroach if its initial velocity is 5m/s? d) The highest point of the slipper measured from the floor is: e) If the cockroach decides to fly the moment Vernie throws the…arrow_forward
- Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning