A football player runs the
pattern given in the drawing by the three displacement vectors , ,
and . The magnitudes of these vectors are A = 5 m, B = 12.0 m, and
C = 25.0 m. Using the component method, find the magnitude and
direction θ of the resultant vector + + . (Assume that up along the
screen is the positive y-axis and that right is the positive
x-axis.)
magnitude ? m
degrees ? direction below the positive x-axis
x component = 12 + 25 cos 35 = 32.478 N ;
y component = -5 + 25 sin 35 = 9.339 N ;
magnitude = √ ( 9.339^2 + 32.478^2 ) = 33.794 ,
direction = taninverse ( 9.339 / 32.478 ) = 15.448 degree
A football player runs the pattern given in the drawing by the three displacement vectors ,...
A football player runs the pattern given in the drawing by the three displacement vectors A, B, and C. The magnitudes of these vectors are A = 5 m, B = 12.0 m, and C = 21.0 m. Using the component method, find the direction θ of the resultant vector A + B + C. (Assume that up along the screen is the positive y-axis and that right is the positive x-axis.)
As an aid in visualizing the concepts in this problem, consult Concept Simulation 1.1. A football player runs the pattern given in the drawing by the three displacement vectors , , and . The magnitudes of these vectors are A = 3.00 m, B = 17.0 m, and C = 18.0 m. Using the component method, find the (a) magnitude and (b)direction of the resultant vector + + . Take to be a positive angle.
As an aid in visualizing the concepts in this problem, consult Concept Simulation 11. A football player runs the pattern given in the drawing by the three displacement vectors,, and. The magnitudes of these vectors are A = 3.00 m, B = 170 m, and C = 18.0 m. Using the component method, find the (a) magnitude and (b)direction of the resultant vector++. Take to be a positive angle. 35.0 Start A. T+で
As an aid in visualizing the concepts in this problem, consult Concept Simulation 1.1. A football player runs the pattern given in the drawing by the three displacement vectors , , and . The magnitudes of these vectors are A = 3.00 m, B = 17.0 m, and C = 18.0 m. Using the component method, find the (a) magnitude and (b)direction of the resultant vector + + . Take to be a positive angle. 90.0 35.0 Start A. T+で
The magnitudes of the four displacement vectors shown in the drawing are A = 15.0 m, B = 12.0 m, C = 12.0 m, and D = 24.0 m. Determine the (a) magnitude and (b) direction for the resultant that occurs when these vectors are added together. Specify the direction as a positive (counterclockwise) angle from the +x axis.
The magnitudes of the four displacement vectors shown in the drawing are A = 17.0 m, B = 11.0 m, C = 12.0 m, and D = 23.0 m. Determine the (a) magnitude and (b) direction for the resultant that occurs when these vectors are added together. Specify the direction as a positive (counterclockwise) angle from the +x axis.
The three displacement vectors in the drawing have magnitudes of A = 5.28 m, B = 6.37 m, and C = 4.86 m. Find the resultant ((a) magnitude and (b) directional angle) of the three vectors by means of the component method. Express the directional angle as an angle above the positive or negative x axis.
The three displacement vectors in the drawing have magnitudes of A 5.10 m, B 5.45 m, and C 4.15 m. Find the resultant (magnitude and directional angle) of the three vectors by means of the component method. Express the directional angle as an angle above or below the positive or negative x axis. (Assume a 21° and B 510. Give an answer between 0 and 90o.) +y B A +x 1. Magnitude: M Above the Negative X Axis 2. Direction:
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The three displacement vectors in the drawing have magnitudes of A = 5.55 m, B = 6.16 m, and C = 3.30 m. Find the resultant ((a) magnitude and (b) directional angle) of the three vectors by means of the component method. Express the directional angle as an angle above the positive or negative x axis. +1 20.0° 60.0°