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Problem 1 25 pts An M1 Abrams tank main gun fires a projectile as shown in the figure Upon exit from the bun barrel the projectile moves with a speed vs 6000 fts relative to the gun barrel

Problem 1 (25 pts) An M-1 Abrams tank main gun fires a projectile as shown in the figure. Upon exit from the bun barrel, the projectile moves with a speed vs = 6000 ft/s relative to the gun barrel. The length of the barrel is L = 15 ft. Assuming that the angle ? is increasing at a constant rate of 0.15 rad/s, determine (a) the speed of the projectile right when it leaves the barrel. (b) the magnitude of the acceleration upon exit (assume that the projectile acceleration along the barrel is constant and that the projectile starts Problem 2 (25 pts) A crate of weight W =600 lb has been attached to a pickup truck by a rope whose tensile strength is Tmax =400 lb. If the truck and crate start at rest with ? = 30? , determine the maximum acceleration of the truck such that the rope does not break for the following cases: (a) When the friction between the crate and the ground is negligible. (b) When the friction between the crate and the ground is not negligible using µk = 0.2. from Problem 3 (25 pts) A car is driving down a 25? rough incline at 60 km/h when its brakes are applied. Treating the car as a particle and neglecting all forces except gravity and friction, determine the stopping distance if (a) the tires slide and the coefficient of kinetic friction between the tires and the road is 0.7. (b) the car is equipped with anti-lock brakes and the tires do not slide. Use 0.9 as the coefficient of static friction between the tires and the road. Problem 4 (25 pts) The pulley system shown is used to store a bicycle in a garage. If the bicycle is hoisted by a 3-inch radius winch rotating at 60 rpm, determine (a) the vertical speed of the bicycle. (b) the force in the rope required to move the bicycle at the speed found in part (a).

 

Jun 20 2020 View more View Less

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