Draw the free body diagram of the following situations. The cart and person as one unit. 15° The 30-kg block μ = 0.25 30 kg 15 kg

The 53-kg cylinder is suspended from a clamping collar at C which can be positioned at any horizontal position x between the fixed supports at A and B. The cable is 8 m in length. Determine and plot the tensions in cable segments AC and BC as a function of x over the interval 0 ≤ x ≤ 7. Do your plot on a separate piece of paper. Then answer the questions to check your results. A Questions: 7 m C 53 kg (a) If x= 2.6 m, the tension in cable AC is (b) If x= 4.9 m, the tension in cable BC is B i i N Z Z N

The 25-kg uniform thin hollow square plate is pinned at point O, and its side L = 0.6 m. If it is subjected to the constant moment M = 83 N•m and is released from rest from the position as shown, determine the total work done to it when it has rotated O 45. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper SI unit. Take g 9.81 m/s². M 1/2 Your Answer: Answer units

Q1) The quadriceps tendon attaches to the tibia at a 30° angle 4 cm from the joint center at the knee. When an 80 N weight is attached to the ankle 28 cm from the knee joint, how much force is required of the quadriceps to maintain the leg in a horizontal position? When the subject mass is 75 kg, What is the magnitude and direction of the reaction force exerted by the femur on the tibia? (Neglect the action of other muscles.) Note: the case in static condition. Use table 4.1. wt = 80 N dwt = 0.28 m = 0.04 m dr 30° R 80 N 0.04 m 0.28 m