Chapter 15, Problem 67P

The crate B and cylinder A have a mass of 213 kg and 75 kg, respectively. If the system is released from rest, find the tension in the cable when t = 3 s. Neglect the mass of the pulleys. Give your answer in Newtons (N). B

30° T 0.4 m A 0.8 m -6m G B 3 m The jet-powered aircraft has a mass of 27 tons and a center of mass at G. If a tow cable is attached to the top of the nose wheel and exerts a force of T = 324 N as shown, determine the magnitude of the normal reaction in the nose wheel. (Express your answer in kN) Neglect the lift of the wings and the mass of the wheels. X2

The system consists of the two smooth spheres, each weighing 3 lb and connected by a light spring, and the two bars of negligible weight hinged freely at their ends and hanging in the vertical plane. The spheres are confined to slide in the smooth horizontal guide. If a horizontal force F = 10 lb is applied to the one bar at the position shown, what is the accelera- tion of the center C of the spring? Why does the re- sult not depend on the dimension b?

The 940-kg motorized unit A is designed to raise and lower the 445-kg bucket B of concrete. Determine the average force R which supports unit A during the 6.0 seconds required to slow the descent of the bucket from 3.1 m/s to 0.7 m/s. Analyze the entire system as a unit without finding the tension in the cable.

Q2/ The 5-kg collar A slides with negligible friction on the fixed vertical shaft. When the collar is released from rest at the bottom position shown, it moves up the shaft under the action of the constant force F=180 N applied to the cable. Determine the stiffness k which the spring must have if its maximum compression is to be limited to d = 70 mm. The position of the small pulley at B is fixed. Take , h = 450 mm and b = 230 mm . (Use the Work-Energy Equation).

The 800-kg car at B is connected to the 350-kg car at A by a spring coupling. Determine the stretch in the spring in meters if: the wheels of both cars are free to roll and; (a) (b) the brakes are applied to all four wheels of car B, causing the wheels to skid. The coefficient of kinetic friction at B is 0.4. Neglect the mass of the wheels. B k = 600 N/m (A) (a) 0; (b) 0.955 B) (a) 0.955; (b) 0 (a) 0.595; (b) 0.955 D) (a) 0.595; (b) 0 A 50 ⠀

The 5-kg collar A slides with negligible friction on the fixed vertical shaft. When the collar is released from rest at the bottom position shown, it moves up the shaft under the action of the constant force F=180 N applied to the cable. Determine the stiffness k which the spring must have if its maximum compression is to be limited to s= 70 mm. The position of the small pulley at B is fixed. Take , h = 450 mm and b = 230 mm . (Use the Work-Energy Equation).

Q2/ The 5-kg collar A slides with negligible friction on the fixed vertical shaft. When the collar is released from rest at the bottom position shown, it moves up the shaft under the action of the constant force F=180 N applied to the cable. Determine the stiffness k which the spring must have if its maximum compression is to be limited to 8 = 70 mm. The position of the small pulley at B is fixed. Take ,h = 450 mm and b = 230 mm . (Use the Work-Energy Equation). ***Good Luck ***

The continuous cable that wraps around the small pulleys at A, B, C, and D has a length of 8m. The springs are both unstretched when d = 4m. Neglect the weight of the pulleys and cords. If the mass of each block is 25 kg and it causes each spring to be stretched by 500 mm, determine 1) the angle 0 when the 2 blocks are applied; (2) the tension on the continuous cable; and (3) the spring constant k (N/m). Use g= 9.81 m/s?. %3D