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# 20p6 - Problem 20.6 This problem covers intermediate...

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Sheet1 Page 1 % Problem 20.6 % This problem covers intermediate reference frames, % 2 points fixed on a rigid body, and 1 point moving % on a rigid body % % Set up problem DIGITS 5 DEGREES ON FRAMES L,A,T,C % A1> vertically upward, A2> to the left, A3> = A1> x A2> % L is stationary, A rotates away from L about L1> = A1> % by an angle 4*T, T is positioned relative to A by a 45 % deg rotation about A3> = T3>, and C is rotated away from % T about T1> = C1> by an angle of 60 deg (or in general % terms, an angle of (V/1)*T). POINTS B,Q,P,PP CONSTANTS V % % Define rotation matrices SIMPROT(L,A,1,4*T) SIMPROT(A,T,3,45) % Could have taken the 2 direction as well SIMPROT(T,C,1,(V/1)*T) % Was 60 deg in the solution manual % since that is the instant under consideration. % Change (V/1)*T back to 60 to see why DT(V_P_L>,L) may % not produce A_P_L>. % % Kinematic information given W_A_L>=4*A1> W_T_A>=0> W_T_L>=W_A_L>+W_T_A> ALF_T_L>=0> V_P_T>=V*C3> W_C_T>=V*C1> % Not specified in the solution manual but true % % Kinematic information observed A_P_T>=-(V^2/1)*C2> % Uniform circular motion, C2> points outward V_B_L>=0> A_B_L>=0> %

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