A car A is travelling along a straight path, while a lorry B is travelling along a circular path having a radius of curvature of 200 m as shown in Figure Q3. At the instant shown, car A travel at the velocity of (150+X) km/h while lorry B travel at the velocity of 80 km/h. Also at this instant, car A has an increase velocity of 7000 km/h? and lorry B has a decrease velocity of 4500 km/h². The angle between straight path of car A and the horizontal line is 0=65°. (a) Calculate the magnitude and direction of velocity of lorry B with respect to car A. ([C3], , (b) Determine the magnitude and direction of acceleration of lorry B as measured by the driver of car A.

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P1(5, 20,10) will be rotated by 30 deg about the Z-axis. Followed by 90 deg about the X-axis, and the 45 deg about the Y axis. Find the final position.

Find the transformation matrix for the following rotations: 1) Rotate a about the original x-axis (in frame 0). (Xo, Yo, Zo) → (X₁,Y₁,Z₁); 2) Followed by a rotation of B about current z-axis (in frame 1). (X₁,Y₁,Z₁)→ (X₂, X₂, Z₂); 3) Followed by a rotation of y about Xo -axis (in frame 0). (X2, Y, Z₂)→ (X3, Y, Z3); 4) Followed by a rotation of about Z3 - axis (in frame 3). (X3, X3,Z3) → (X,Y4, Z4). E F3 $ R F F4 Q Search DII % 5 F5 T F6 6 Y PRE F7 & H 7 PrtScn F8 U 8 Home End