Question

32. mier, used for complete mixing of chemical solutions, is depicted in Main arm M is pinned to newtonian reference frame N at point A, and to secon The n, unit vectors are fixed in N; the m unit vectors, in M, and the $, unit vectors has length . Mixing point C is constrained to move along secondary arm S at nt B. in S. The m e r) from B You plan to determine the acceleration of point C by using the Golden Rule for Vector Differentiation (Eqn. 6.24): Adz Bdz along with necessary coordinate transformations and angular velocities. In preparation for accomplishing this, do the following a. Write a vector equation expressing the angular velocity of reference frame M with respect to reference frame N. Use any convenient vector basis. b. Write a vector equation expressing the angular velocity of reference frame S with respect to reference frame M. Use any convenient vector basis. c. Write a vector equation expressing the angular velocity of reference frame S with respect to reference frame N. Use any convenient vector basis. d. Determine the rotation matrix "R", that you could use for representing the i, unit vectors (the newtonian coordinate-system vector basis) in terms of the m, unit vectors matrix equation . Write the e the rotation matrix "R, that you could use for representing the n,unit vectors in terms of the S, unit vectors. Write the corresponding matrix equation. f. Determine the rotation matrix 'R", that you could use for representin of the i, unit vectors. Write the corresponding matrix equation. g. Using the given parameters, write a position-vector equation locating point C relative to point A g the $,unit vectors in terms in our auswer te (el once using the GRVD, with N assumed

Answer 1

CAct3 イ34 CA t ot c in co- tho velo CS Scanned with CamScanner

Case d+ dB “Sin - a t Scanned with

a t 시n d f dと 2 Scanned with CS Camscanner