In the figure below, B is a rigid cube whose sides are of length I. A, C, and D are square plates that are hinged to B as shown in the figure.The motion of the system is such that the angular velocity of B in reference frame G is: CoB = wzb, + @,b, + w,bz.WyThe velocity of point O of B in the reference frame G is: Gv° = vxbx + v „b, + v̟b,.yDyNote that w; and v; (i = x, y, z) are time-varying scalars. Further, 0, B, and o as shown in the figure are also time-varying orientation angles.Your tasks are:1. Correctly identify which of the scalars are symbols or dynamicsymbols , based on the above question. You will use these scalars in all subsequentcomputations. Also, correctly define all the frames and reference frames using Point and ReferenceFrame from sympy. 02. Compute "wª: the angular velocity of A in G. This computation must be stored in the variable name G_omega_A. ()3. Compute CaD: the angular acceleration of D in G. This computation must be stored in the variable name G_alpha_D. ()4. Compute Bve: the velocity of Q in B. This computation must be stored in the variable name B_v_Q. 0Express all your answers in the b; (i= x, y, z) system.Note: you must make additional variables that follow the above conventions.For example:1. if any calculations require that you compute "w4 then you must create a variable G omega C that saves the value of this vector.2. if a calculation requires you to compute roP, then you must save that as a variable using the convention r oQ . And so on.PCydyS(DB(A In the below cell, we have imported all the functions you will need to complete this assignment; note that you can not modify this cell.In [ ]:from sympy import symbols, sin, cos, Matrixfrom sympy.physics.mechanics import dynamicsymbols, ReferenceFrame, Point, init_vprintinginit_vprinting()QUESTION 1: Update constant and time-varying scalars; create referenceframes and points in figureYou are provided the code in the cells below that define all the scalar variables as symbols . Based on the problem statement above, please modify the linesin this first code cell to correctly identify the scalar variables as constants or time-varying using either symbols or dynamicsymbols .Also, in this cell, create all reference frames and points from the figure above using ReferenceFrame and Point.In [ ]: 1 = symbols ('l')theta, beta, phisymbols ( 'theta, beta, phi')symbols ('omega_x, omega_y, omega_z')omega_x, omega_y, omega_z =v_x, v_y, v_z = symbols('v_x, v_y, v_z')# YOUR CODE HEREIn [ ]: # For your solutionsIn [ ]: # For your solutionsIn [ ]: # For your solutions (add more cells direcly below this one if needed)

In the below cell, we have imported all the functions you will need to complete this assignment; note that you can not modify this cell. In [ ]: from sympy import symbols, sin, cos, Matrix from sympy.physics.mechanics import dynamicsymbols, ReferenceFrame, Point, init_vprinting init_vprinting() QUESTION 1: Update constant and time-varying scalars; create reference frames and points in figure You are provided the code in the cells below that define all the scalar variables as symbols . Based on the problem statement above, please modify the lines in this first code cell to correctly identify the scalar variables as constants or time-varying using either symbols or dynamicsymbols . Also, in this cell, create all reference frames and points from the figure above using ReferenceFrame and Point. In [ ]: 1 = symbols('l') theta, beta, phi = symbols('theta, beta, phi') omega_x, omega_y, omega_z = symbols('omega_x, omega_y, omega_z') v_x, v_y, v_z = symbols('v_x, v_y, v_z') YOUR CODE HERE In [ ]: For your solutions In [ ]: For your solutions In [ ]: For your solutions (add more cells direcly below this one if needed)

In the below cell, we have imported all the functions you will need to complete this assignment; note that you can not modify this cell. In [ ]: from sympy import symbols, sin, cos, Matrix from sympy.physics.mechanics import dynamicsymbols, ReferenceFrame, Point, init_vprinting init_vprinting() QUESTION 1: Update constant and time-varying scalars; create reference frames and points in figure You are provided the code in the cells below that define all the scalar variables as symbols . Based on the problem statement above, please modify the lines in this first code cell to correctly identify the scalar variables as constants or time-varying using either symbols or dynamicsymbols . Also, in this cell, create all reference frames and points from the figure above using ReferenceFrame and Point. In [ ]: 1 = symbols('l') theta, beta, phi = symbols('theta, beta, phi') omega_x, omega_y, omega_z = symbols('omega_x, omega_y, omega_z') v_x, v_y, v_z = symbols('v_x, v_y, v_z') YOUR CODE HERE In [ ]: For your solutions In [ ]: For your solutions In [ ]: For your solutions (add more cells direcly below this one if needed)

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter7: Arrays

Section7.5: Case Studies

Problem 15E

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