A cart is being hauled along a curved surface by a cable wound around a drum. When the cart is 2 feet below the top, the cable is retracting at a speed of 12 ft/s which is decreasing at 5 ft/s2 .. The shape of the surface is described by the equation y = - where x and y are measured in feet. Calculate the normal and tangential components of the cart's acceleration, as well as the magnitude of the total acceleration when the cart is 2 feet below the top

Afour cylinder four-stroke in-line engine has a stroke of 160mm, connecting rod length of 150mm, a reciprocating mass of 3kg and its firing order is 1-3-4-2. the spacing between cylinders is 100mm. i. show that the engine is in balance with regard to the primary inertia forces and primary 3. a and secondary inertia couples. li determine the out of balance secondary inertia force ii. propose ways of balancing this out of balance force and discuss the challenges that will arise

Burgers vector is generally parallel to the dislocation line. a)-true b)-false

You are making beer. the first step is filling the glass carboy with the liquid wort. the internal diameter of the carboy is 15 in., and you wish to fill it up to a depth of 2 ft. if your wort is drawn from the kettle using a siphon process that flows at 3 gpm, how long will it take to fill?