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Forces on two particles/bodies, calculated as acting on P(1)

How do we calculate forces acting on two bodies?. Forces on two particles/bodies, calculated as acting on P(1). P(2).posX P(2).posY. P(1).posX P(1).posY. How do we calculate forces acting on two bodies?. Forces on two particles/bodies, calculated as acting on P(1).

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Forces on two particles/bodies, calculated as acting on P(1)

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  1. How do we calculate forces acting on two bodies? Forces on two particles/bodies, calculated as acting on P(1) P(2).posX P(2).posY P(1).posX P(1).posY

  2. How do we calculate forces acting on two bodies? Forces on two particles/bodies, calculated as acting on P(1) The Force magnitude equation is given by: F = G * M1 * M2 / R2 P(2).posX P(2).posY We need to compute R. P(1).posX P(1).posY We know body positions

  3. How do we calculate forces acting on two bodies? Forces on two particles/bodies, calculated as acting on P(1) F = G * M1 * M2 / R2 P(2).posX P(2).posY R = sqrt(A2 + B2) B = P(2).posY – P(1).posY P(1).posX P(1).posY A = P(2).posX – P(1).posX

  4. How do we calculate forces acting on two bodies? Forces on two particles/bodies, calculated as acting on P(1) F = G * M1 * M2 / R2 P(2).posX P(2).posY We can now compute magnitude of F R = sqrt(A2 + B2) B = P(2).posY – P(1).posY P(1).posX P(1).posY A = P(2).posX – P(1).posX

  5. How do we calculate forces acting on two bodies? Forces on two particles/bodies, calculated as acting on P(1) F = G * M1 * M2 / R2 P(2).posX P(2).posY How can we compute components of F in X and Y directions? R = sqrt(A2 + B2) B = P(2).posY – P(1).posY theta P(1).posX P(1).posY A = P(2).posX – P(1).posX We will use sin and cosfunctions to compute the X and Y components of force F COS(theta) = A/R SIN(theta) = B/R

  6. How do we calculate forces acting on two bodies? Forces on two particles/bodies, calculated as acting on P(1) F = G * M1 * M2 / R2 P(1).posX P(1).posY R = sqrt(A2 + B2) F_Y = F * SIN(theta) = F * B/R Given magnitude of the F, value of A,B and R we can compute F_X and F_Y P(1).posX P(1).posY F_X = F * COS(theta) = F * A/R COS(theta) = A/R SIN(theta) = B/R

  7. How do we calculate forces acting on two bodies? Forces on two particles/bodies, calculated as acting on P(1) F = G * M1 * M2 / R2 P(1).posX P(1).posY R = sqrt(A2 + B2) F_Y = F * B/R Resulting F_X and F_Y are forces acting on P(1) by P(2), they are signed. P(1).posX P(1).posY F_X = F * A/R COS(theta) = A/R SIN(theta) = B/R

  8. How do we calculate forces of N planets on a planet A? • We perform the steps from previous 7 slides for each of the N planets. • We compute the X and Y components of the forces acting on each planet • We add all of the X components of the forces together.  Then we add all of the Y components of the forces together. These results give us the X and Y forces acting on planet A.

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