Problem (4) An 8-kg gear with a radius of 80 mm has a centroidal radius of gyration of 50 mm. A 5-kg slender rod AB is attached to the center of the gear while the pin at B is free to slide along the vertical slot (negligible friction). When 0 = 60°, the system is released from rest. Determine S0 mm (a) the velocity of the center of the gear when € = 15° (b) the velocity of pin B when 0 = 15°. 320 im

Part A The 21-kg roll of paper has a radius of gyration kA = 90 mm about an axis passing through point A. It is pin supported at both ends by two brackets AB. The roll rests against a wall for which the coefficient of kinetic friction is u = 0.2. Neglect the mass of paper that is removed. (Figure 1) Determine the magnitude of the constant vertical force F that must be applied to the roll to pull off 1 m of paper in t = 3 s starting from rest. Express your answer to three significant figures and include the appropriate units. TH HẢ ? F = Value Units Submit Request Answer Provide Feedback Figure < 1 of 1 300 mm 125 mm

A cable is wrapped around the spool’s center hub. The mass of the spool is m= 100 kg, the radius r1 = 0.4 m, r2 =0.6 m, and the radius of gyration is kG = 0.3 m. A horizontal force P = 10 N is applied to the cord. The spool is initially at rest and rolls without slipping. (3) The angular velocity of the spool after 2 seconds is __________rad/s (two decimal places)

Part B please