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/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/s?. R P

At the instant shown, the uniform slender rod with mass m = 32 kg is pin-supported at point O. It is subjected to a counterclockwise moment M = 65 N•m, has a counterclockwise angular velocity of W= 5.8 rad/s, and the dimensions a = 0.23 m and b = 0.69 m. Determine angular acceleration of the rod (in rad/s²) at this instant. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Negative sign must be included if the angular acceleration is clockwise. Take g = 9.81 m/s². a Your Answer: Answer M b

At the instant shown, the uniform slender rod with mass m = 35 kg is pin-supported at point O. It is subjected to a counterclockwise moment M = 66 N•m, has a counterclockwise angular velocity of W= 5.1 rad/s, and the dimensions a = 0.19 m and b = 0.58 m. Determine angular acceleration of the rod (in rad/s2) at this instant. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Negative sign must be included if the angular acceleration is clockwise. Take g = 9.81 m/s2. O. · M Your Answer: Answer

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 /= 0.18 m, and the material has a mass per unit area of 12 kg/m². If at the instant shown, it is subjected to a force P = 30 N, and has a counterclockwise angular velocity of W = 4.2 rad/s, determine magnitude of the support reaction at point O at this instant. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit. Take g = 9.81 m/s². R @ Your Answer: Answer units P