A projectile is fired at vo = 342.0 m/s at an angle of 0= 66.9° with respect to the horizontal. Assume that air friction will shorten the range by 29.1%.

ll MIN 米 11:19 AM 37% (b) A jet of water, having a velocity of 30 m/s impinges on a series of vanes with a velocity of 15 m/s. The jet makes an angle of 30" to the direction of motion of the vane when entering and leaves the vane at an angle of 120". (i) Sketch the velocity diagrams at the entrance and exit (ii) Determine the vane angles so that the water enters and leaves the vane without shock. If the jet is 60 mm in diameter, determine the work done for every second. (iji) (iv) What is the velocity the water as it exits the vane?

One part of an inspection system in a packaging operation uses an air blast to remove defective pieces of cardboard from the conveyor belt. The blast is initiated by a sensor and clocked so that the product is in front of the blast at just the right . The product is going to be dumped onto a shelf next to the conveyor belt. Determine the speed of the air jet required to tip the cardboard off the conveyor. The density of air is 1.10 kg/m3. The cardboard has a mass of 0.10 kg and the jet has a diameter of 10 mm.

6. A small particle is placed inside the frictionless, semicircular tube of radius R shown in the figure below and released. Using angular momentum methods, show that the particle's equation of motion is given by Ö + (g/R) sin(0) = 0. Hint: Start with dHo/dt = EM₁ e

Small steel balls, each with a mass of 150 g, enter the semicircular trough (Radius =0.92 m) in the vertical plane with a horizontal velocity of VA=7.9 m/s at A. Friction is negligible. UB B VA A velocity at C (m/s) a. 6.66 о Б.7.99 c. 5.33 d. 9.33 e. 2.66 normal reaction at C velocity at B (m/s) О а. 6.16 b. 5.13 C. 4.11 d. 3.08 е. 2.05 O O

A bullet B of mass mBtraveling with a speed v0= 1200 m/s ricochets off a fixed steel plate A of mass mA. Let mA>>mB so that it can be assumed that mB/mA→0. If the incidence angle of the bullet is θ= 15◦and the COR of the impact is e= 0.5, determine the rebound angleφ, as well as the bullet’s rebound speed. Use conservation law methods to solve the problem.