A block having a weight of 400 N rests on an inclined plane making an angle of 30° with the horizontal is initially at rest. After it was released for 3sec, find the distance that the block has traveled assuming that there is no friction between the block and the plane. Compute also the velocity after 3 sec.

A uniform rod is rotating on a horizontal plane about a vertical axis through one end with a constant angular velocity ω0. Due to internal shear forces, the rod breaks at the mid-point of its length, and the part with the fixed axis has an angular velocity 1.5ω0 in the same sense. Determine the angular velocity of the other half.

During a flow of 500 liters, the gage pressure is 68 kPa in the horizontal 300 mm supply line of a water turbine. A 41 kPa vacuum is measured at a 450 mm section of draft tube 2 m below the turbine. Assuming an efficiency of 85%,

a. Compute the total head extracted by the turbine.

b. Compute the output horsepower of the turbine.

c. Compute the input horsepower of the turbine.