12 ft D00 B

Q2. As shown in the image below, the freight cars A and B are approaching each other, and they have a mass of mA = 23 Mg and mg = 14 Mg, respectively. The directions of their initial velocities are shown in the image, and the speeds are VA,1 4.3 m/s and v³,1 = 2.9 m/s. Determine the velocity of A after collision if the cars collide and rebound, such that B moves to the right with a speed of 1.8 m/s. Right is considered the positive direction and negative sign must be included if A moves to the left after the collision. Please pay attention: the numbers may change since they are randomized. Your answer must include 3 places after the decimal point, and proper Sl unit. A Your Answer: VA,1 Answer units B VB.1 =

A motorcycle and rider have a combined mass of 350kg. The vehicle's velocity is 100 km/hr. The rider is to go up a hill incline of 10 meters. The wheels each have a mass of 20 kg and a diameter of 500mm. The wheel design consists of 6 spokes with a mass of 0.5 kg for each spoke. a. Determine the vehicle's velocity at the top of the hill, assuming it was a rolling vehicle with engine being turned off. a. Indicate the vehicle's velocity at each meter through the climb. b. Explain the transfer energy and how this affects the behaviour of the system. At another point in its journey, the motorcycle and rider travel at 80 km/h around a left-hand bend of radius 30m. Calculate: a) The angular velocity of each wheel. b) The moment of inertia of each wheel. c) The angular momentum of the wheel prior to entering the bend. d) The magnitude of the gyroscopic torque produced on the bike as the rider is driving around the bend. What is the effect and why is it important to calculate the gyroscopic…

A stream of water flowing at a rate of 1.2 m3/min and moving with a speed of 30 m/s at both A and B is deflected by a vane welded to a hinged plate. Knowing that the combined mass of the vane and plate is 20 kg with the mass center at point G , determine (a) the angle 0, (b) the reaction at C.

The helicopter shown can produce a maximum downward air speed of 80 ft/s in a 30-ft-diameter slipstream. Knowing that the weight of the helicopter and its crew is 3500 lb and assuming y= 0.076 lb/ft3 for air, determine the maximum load that the helicopter can lift while hovering in midair.

A jet airliner is cruising at a speed of 900 km/h with each of its three engines discharging air with a velocity of 800 m/s relative to the plane. Determine the speed of the airliner after it has lost the use of (a) one of its engines, (b) two of its engines. Assume that the drag due to air friction is proportional to the square of the speed and that the remaining engines keep operating at the same rate.