900 N 4) The uniform 40 kg slender rod is being pulled by a cable that passes over the small smooth peg at A, and a vertical force F is applied at the edge 0.8 m as shown. If the rod has an angular velocity of o=6 rad/s 6 rad/s at the instant, determine the tangential and normal components of reaction forces at the F-150 N pin 0, and the angular acceleration of the rod. tosmt 0.6 m 0.3 m-

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

The 18-kg rod AB is pin-connected at A and subjected to a couple moment of M =15 N- m The rod is released from rest when the spring is unstretched at 0 = 30°. As the rod rotates, the spring always remains horizontal, because of the roller support at C. (Figure 1) Determine the rod' s angular velocity, measured clockwise, at the instant 0 = 60°. Express your answer using three significant figures. Enter positive value if the angular velocity is clockwise and negative value if the angular velocity is counterclockwise. vec rad/s k = 40 N/m 0.75 m M = 15 N- m

d I à B 8 rad k Ť You were able to obtain a roll of toilet paper during quarantine and put it to good use. If the roll rests against a wall where its coefficient of friction is -0.22 and you apply a force of 0.7 N at an angle of 40* from the vertical. Force F is also tangent to the roll. Determine the angular acceleration of the precious toilet paper. Mark a counterclockwise acceleration as positive and a clockwise acceleration as negative. Hint: Watch your vector direction for a above F Assume the roll can be treated as a cylinder with a mass of 0.21 kg, a width of 11.5 cm, and a radius of 7.5 cm. Point B is a vertical distance d=13 cm from point A. UBC Engineering