A basketball player attempts a slum-dunk (unsuccessfully) as shown in the ?gure. The basketball bounces on the glass generating a horizontal force F⃗1 = 0.5 kN applied at E. The player hits and pushes the hoop at G generating a sloped force F⃗2 = 2.3 kN. The angle α that the line of action of F⃗2 forms with the horizontal line is 30.0o. Additional two forces and a couple are created due to the slum-dunk. These forces are found at D, F⃗3 = 10.0 kN and F⃗4 = 1.0 kN. The force F⃗3 forms an angle β = 25.0o with the horizontal line as shown in the ?gure. The couple M⃗ 1 = 50.0 kNm is clockwise. Do: Find the resultant R⃗ and the resultant moment M⃗ C of the system of forces with respect to point C. Substitute the equivalent force-couple system from the previous point with a single force P⃗ . Find the location of the line of action of P⃗ with the axes X and Y located with the origin of the axes at A and sketch the location of the line of action and direction of P⃗ with respect to A on X and Y
A basketball player attempts a slum-dunk (unsuccessfully) as shown in the ?gure. The basketball bounces on the glass generating a horizontal force F⃗1 = 0.5 kN applied at E. The player hits and pushes the hoop at G generating a sloped force F⃗2 = 2.3 kN. The angle α that the line of action of F⃗2 forms with the horizontal line is 30.0o. Additional two forces and a couple are created due to the slum-dunk. These forces are found at D, F⃗3 = 10.0 kN and F⃗4 = 1.0 kN. The force F⃗3 forms an angle β = 25.0o with the horizontal line as shown in the ?gure. The couple M⃗ 1 = 50.0 kNm is clockwise. Do:
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Find the resultant R⃗ and the resultant moment M⃗ C of the system of forces with respect to point C.
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Substitute the equivalent force-couple system from the previous point with a single force P⃗ .
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Find the location of the line of action of P⃗ with the axes X and Y located with the origin of the axes at A and sketch the location of the line of action and direction of P⃗ with respect to A on X and Y.
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