The Atwood machine consists of tum masses hanging from the ends of a rope that passes over a pulley. The pulley can be approximated by a uniform disk with mass mp = 4.13 kg and radius r], = 0.250 In. The hanging masses are an = 19.5 kg and MR 2 12.1 kg. Calculate the magnitude of the massa' acceleration a and the tension in the left and right ends of the rope. TL and TR , respectively. A 250-g mass hangs from a string that is wrapped around a pulley, as shown in the figure. The pulley is suspended in such a way that it can rotate freely. When the mass is released, it accelerates toward the floor as the string unwinds. Model the pulley as a uniform solid cylinder of mass 1.00 kg and radius 7.00 cm. Assume that the thread has negligible mass and does not slip or stretch as it unwinds. Determine the magnitude a of the pulley's angular acceleration. a = rad/$2 Determine the magnitude of the acceleration a of the descending weight. 1 = m/$2 Calculate the magnitude of the tension 7' in the string. T = NA solid 0.7150 kg hall rolls without slipping down a track toward a vertical loop of radius R = 0.7750 m. What minimum translational speed 12min must the ball have when it is a height H = 1.193 m above the bottom of the loop in order to complete the loop without falling off the track? Assume that the radius of the ball itself is much smaller than the loop radius R. Use g = 9.810 mfg2 for the acceleration due to gravity. Figure is not to scale. After an unfortunate accident at a local warehouse, in which a jib crane collapsed and injured a worker, the owners want to determine the cause. A diagram of the jib crane is shown in the image. The horizontal steel beam had a mass of 90.20 kg per meter of length and the tension in the cable was T = 12.95 NJ. The crane was rated for a maximum load of 1000 lbs. Consider that d = SETH m, S = 0.522 m, x = LSSm, and I: = 2.070 m. What was the load \"'1 on the crane before the collapse? WL = N 1What was the magnitude of force at the attachment point P? The meterstick shown is IOU cm long. It is free to pivot around its center of gravityI (CG), which is at the 50 cm mark. There is a 25.0 N block hanging from the 80 cm mark. Decide where each of the other blocks should be placed, one at a time, to balance out the 25.0 N block. At what mark on the meter stick would you place a 18.0 N block to balance the 25.0 N block? At what mark on the meter stick would you place a 41.0 N block to balance the 25.0 N block? m:m A ladder is leaning against a vertical wall. There is negligible friction between the ladder and the wall, and the coefficient of static friction between the ladder and the ground is We = 0.265. The ladder is uniform, with its center of gravity located at its geometric center. X At what maximum angle a, relative to the wall, can the ladder lean without slipping?The forearm of length L.mu = 34.D cm shown in the gure is positioned at. an angle 9 with respect to the upper arm, and a 5.4-kg ball is held in the hand. The total mass mum of the forearm and hand is 3.10 kg, and theiI center of mass is located at Ln, = 15.0 cm from the elbow. The biceps muscle attaches to the forearm at a distance me = 3.5 cm from the elbow. What is the magnitude of the force Fblmps that the biceps muscle exerts on the form for 6' = 33\"? .. ~ What is the magnitude of the force Fjum that the form exerts on the elbow joint ford = 33"