5. A motor is using a large pulley to pull a crate with a mass of m= 200 kg up a 30 degree incline. The pulley has a mass of m = 50 kg, a radius of r = 0.5 m and a radius of gyration of ko = 0.25 m. The motor supplies a torque of M = (500 +1500) N*m to the pulley. If the crate starts from rest and the coefficient of kinetic friction between the crate and ground is µ = 0.2 (assume the crate immediately starts moving, so no static friction analysis needed). Determine the speed of the crate after it travels 4m. M 30°

Question 6 The uniform solid cylinder shown in the figure is released from rest on the 0 = 60 degree incline and slips as it rolls down the incline. The cylinder has mass m = 10 kg and radius r = 0.45 m. The coefficient of friction between the cylinder and the incline is µ = 0.15. Take the acceleration due to gravity to be g = 9.81 m/s². link to image 0 (c) Calculate the following: (a) the normal reaction N between the cylinder and the incline; g (b) the linear acceleration a of the centre of mass of the cylinder; the angular acceleration a of the cylinder; X A Moving to another question will save this response. (d) the minimum coefficient of friction required to prevent the cylinder slipping down the incline. 截图和草 截图已保存 选择此处标

The tension in a pulley belt is 300 N when stationary. The smaller pulley has a diameter of 300 mm and a speed of 1420 rev/min. The coefficient of friction between the belt and the pulley is 0·4 and the angle of lap is 160°. (a) Calculate the tension in each side of the belt at operating speed. (b) Determine the power transmitted when the belt is on the point of slipping. If the pulley system uses a flat belt of CSA 500 mm² and density 1300 kg/m3, determine: (c) The power transmitted, when the mass of the belt is taken into consideration.

2. Bar AB starts from rest at 0 = 0 with the constant angular acceleration of 6 rad/sec?. The block of mass m begins sliding on the bar When e = 45 degrees, 0.20 m a. Compute time for the bar to reach 45 degrees from the horizontal b. Compute the normal reaction between the bar and block. c. Determine the coefficient of static friction between the block and the bar.