5/7 The rectangular plate is rotating about its corner axis through O with a constant angular velocity = 10 rad/s. Determine the magnitudes of the velocity v and acceleration a of the corner A by (a) using the scalar relations and (b) using the vector relations. 2 400 mm 300 mm 3 (0) B A

An automobile P is traveling along a circular track of radius R=958.4 m. At position "A" on the track, the automobile has a speed of UA = 10.3 m/s. At this position, the driver of the automobile applies the brakes causing the speed of the automobile to change with distance s traveled along the track according to the following equation: U(S) = VA COS(0.001s) m/s (cos is in radians), where s is given in meters. Determine the magnitude of the acceleration for the driver when the automobile reaches position "B" on the track where "B" is a quarter of the distance around the track from position "A". R B O circular track

For the circular thin plate with a square hole as shown in the image below, its radius R = 0.32 m and the side of the square /= 0.22 m, and the material has a mass per unit area of 14 kg/m2. If at the instant shown, it is subjected to a force P= 44 N, and has a counterclockwise angular velocity of W = 3.8 rad/s, determine the angular acceleration (in rad/s?) of this plate. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s?. R P

4. 2) The hydraulic cylinder D extends, moves the rigid rod ABC, and causes the collar A to move with velocity and acceleration both to the left. If the dimensions 4 1.0 ft, and 2 = 1.7 ft, VA = 4.9 ft/s, aa = 2.6 ft/s2, and the angle 0 = 27°, determine the speed of point B. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit. В 12 D a Your Answer: Answer units 1,

For the circular thin plate with a square hole as shown in the image below, its radius R = 0.42 m and the side of the square /= 0.15 m, and the material has a mass per unit area of 15 kg/m2. If at the instant shown, it is subjected to a force P= 47 N, and has a counterclockwise angular velocity of w = 2.1 rad/s, determine the angular acceleration (in rad/s?) of this plate. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s². R 4 3 Your Answer: Answer

For the circular thin plate with a square hole as shown in the image below, its radius R = 0.49 m and the side of the square /= 0.22 m, and the material has a mass per unit area of 14 kg/m². If at the instant shown, it is subjected to a force P= 43 N, and has a counterclockwise angular velocity of W = 2.3 rad/s, determine the angular acceleration (in rad/s²) of this plate. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s². R @ Your Answer: Answer 5 3 P

The length of link OB is 325 mm and it is rotating about fixed axis O at a speed of 116 rev/min. Find the liner velocity of point B in m/sec. VB = m/s %3D

If the rod AB rotates counterclockwise with angular velocity, ω AB =8rad / s Calculate the velocities of the blocks C and D at the moment shown in the figure below.

4. 3) The hydraulic cylinder D extends, moves the rigid rod ABC, and causes the collar A to move with velocity and acceleration both to the left. If the dimensions 4 = 1.0 ft, and 2 = 1.6 ft, VA = 3.6 ft/s, aa = 2.2 ft/s2, and the angle 0 = 27°, determine the speed of point C. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit. %3D В 12 D Your Answer: Answer units 1,

1. What is the vertical acceleration and normal velocity when the spring is stretched an extra 0.70.7 mm (note as d in the drawing)? 2. What is velocity and acceleration when the stretch, d, is 0.10.1 mm?