Given the vectors Ā = (-2î + ſ) m and B = (4î – i) m. The direction of the resultant vector R = Ả + Ē is a. 0 = 180° b. 0 = 45° O C. 0 = 90° Od. 0 = 0°
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- A homogeneous pulley with two grooves consists of two wheels which turn together as one around the same axis. The moment of inertia of the two wheels together is ICM = 40 kg m2. The radii are: R1 = 1.2 m and R2 = 0.4 m. The masses that hang on both sides of the pulley are m1 = 36 kg and m2 = 12 kg. We will assume that the masses of the ropes are negligible. Determine the angular acceleration of the pulley, acceleration of the masses, and the tensions of the ropes.The route followed by a hiker consists of three displacement vectors A,B ,c Cand . Vector A is along a measured trail and is 1550 m in a direction 25.0° north of east. Vector B is not along a measured trail, but the hiker uses a compass and knows that the direction is 41.0° east of south. Similarly, the direction of vector C is 10.0° north of west. The hiker ends up back where she started, so the resultant displacement is zero, or A+ B+ C = 0. Find the magnitudes of vector B and vector C .Can you please help with this question i’m extremely stuck, thank you so much!!
- Vectors A and B are shown in the figure. Vector C is given by C = B - A. Themagnitude of vector A is 16.0 units, and the magnitude of vector B is 7.00 units. What is the magnitude of vector C?Vector A is 30° to the left of the negative y-axis. Vector B is 65° above the negative x-axis. Vector C points to the right. You will be asked to find the resultant, R = A + B + C. What are the x- and y-components of the resultant? Group of answer choices Rx = 0.625 m; Ry = 3.11 m Rx = 5.31 m; Ry = -1.57 m Rx = 8.43 m; Ry = -4.69 m Rx = 10.6 m; Ry = -6.89 mConsider two vectors, A, which points along the +x direction with a magnitude of 3 units andvector B, which points 20o from the +y axis with a magnitude of 4 units as shown in Figure 1.a) Find the magnitude of the vector, B − A.b) Find the vector C so that A + B + C = 0.
- Complete the table below: Vector 1 Vector 2 Vector 3 Vector 4 Vector 5 Vector 6 x-component 15m 2cm 5N 3lbf 2cm 3mm y-component Magnitude 100N 25m 5lbf Direction 30° W of N 40° s of E NE Solve what is asked: 1. What is the resultant of Vectors 1, 3 and 5? 2. What is the Vector 4 – Vector 2 + Vector 6? 3. If Vector 7 is 3i + 4j, then what is Vector 3 + Vector 7? 4. If Vector 7 is 3i + 4j, then what is Vector 6 - Vector 7?Vector A measures 1.20m and angles 30° above the x-axis in the first quadrant. Vector B extends 3.20m and is angled 30° beneath the x-axis in the fourth quadrant. a. Determine the magnitude and direction of A + Bb. Determine the magnitude and direction of A – BGiven the vectors Ā = (-2î + j) m and B = (4î – j) m. The direction of the resultant vector R = Ả + B is O a. 8 = 180° O b.0 = 90° O c. 0 = 45° O d.0 = 0°
- A flagpole sits at the center of a playground. Initially, a child is located 8.50 m due north of the flagpole. Two minutes later, the child is 6.00 m away from the flagpole in the direction 37.0° south of east. The displacement of the child lies between which two cardinal directions? O South and west O North and east O North and west O South and eastVector A has a magnitude of 27.5 units and it points in a direction 320° counterclockwise from the positive x-axis. What are the x- and y-components of A? Answe is Ax = _ ans Ay = _.0 аф sin þa, + tan— Înr aº at P(2‚ñ/2,3/2). Determine If A = r sin 0 cosa, - cos 20 sin þaŋ + tan cos 20 the vector component of A that is parallel to az (express your answer in spherical coordinates)