The truck is traveling at 18 km/h when the trailer coupling at A fails. If the trailer has a mass of 255 kg and it travels a distance of 40 m before coming to a stop, determine the constant horizontal force F created by bearing friction that causes the trailer to stop (in N). (0) (0) F

The drop gate at the end of the trailer has a mass of 1000 kg and mass center at G. If it is supported by the cable AB and hinge at C. determine the tension in the cable when the truck begins to accelerate at 5 m/s2 to the left.

solve,  answer is provided, show all steps.

-y = 45 - hft k lblft www Ift The 5-lb collar has a speed of 3 ft.s1 at A. The attached spring has an unstretched length of 2- ft and a stiffness of k=17lb.ft1. If the collar moves over the smooth rod, determine its speed when it reaches point B. The height of A is h=9-ft and B is at l=4-ft from the vertical of A

2. The car, having a mass of 1000 kg, is traveling horizontally along a 20° banked track which is circular and has a radius of curvature of p = 100 m. If the coefficient of static friction between the tires and the road is us = 0.3, determine the minimum and maximum constant speed at which the car can travel without sliding down and up the slope. Neglect the size of the car. e= 20°

A cart has a mass of 1.5 kg. It is given some initial push toward a sensor and is slowed by a hanging mass which makes the cart turn around and speed up as it returns to its original position. This situation is illustrated in the attached image. If the acceleration towards the sensor is 0.5 m/s2 and the accaleration away from the sensor is 0.15 m/s2,  a. draw the free body diagrams for the cart moving towards the sensor and away from the sensor. b. Write Newton's law for both situations and solve for the frictional force and for the force from the hanging mass.