A horizontal shaft are held in long bearings and a disc is attached to the shaft at its mid-point. The center of gravity of the disc dose not coincides with the axis of the shaft. The diameter of the shaft is 20 mm and the span of the shaft between the bearings is 1 m. The mass of the disc is 10 kg and the center of gravity of the disc is 0.03 mm from the axis of the shaft Determine the additional deflection of the shaft when it runs at 700 rpm. Take E = 200 GN/m² and Wa² b² 8= 381L

The 3-m plank shown in section has a density of 800kg/m3 and is hinged about a horizontal axis through its upper edge O. Calculate the angle assumed by the plank with the horizontal for the level of fresh water shown.

The frame of a greenhouse is constructed from uniform aluminum channels. Locate the center of gravity of the position of the frame shown. Consider, r= 3 ft. 5 ft 3 ft Multiple Choice O 2 ft X = 1.750 ft, Y = 4.14 ft, and Z = 2.355 ft. X = 2.750 ft, Y = 6 ft, and Z = 1.355 ft. X = 1.750 ft, Y = 4.14 ft, and Z = 1.355 ft. X = 1.750 ft, Y = 5.14 ft, and Z = 1.355 ft.

A spherical buoy has a diameter of 1m and floats half submerged in sea water. Determine the mass of the buoy. A piece of material density 5670 kg/m3 is now suspended beneath the buoy causing it to be just submerged. Determine the mass of material used. Ans: mass of buoy: 268.3kg, mass of materlal: 327.5

Locate (a) the center of gravity of the assembly if the block is homogeneous (made of all one material), (b) the center of gravity of the assembly if the triangular portion of the block is made from a material with a specific weight of 0.25 lb/in³ and the remainder of the object is made from material with a specific weight of 0.1 lb/in3. The hole on the top is a hemispherical hole. 3 in. 1 in. 1 in. 2.25 in. 2.5 in. 2.5 in. 3 in. 2.25 in, y.

The 3 × 4-m side AB of a tank is hinged at its bottom A and is held in place by a thin rod BC. The maximum tensile force the rod can withstand without breaking is 200 kN, and the design specifications require the force in the rod not to exceed 20 percent of this value. If the tank is slowly filled with water, determine the maximum allowable depth of water d in the tank.

7. The plane rectangular gate can pivot about the support at B. For the conditions given, is it stable or unstable? Neglect the weight of the gate. Justify your answer with calculations. Water 8 m Gate 3.5 m B 45°

A tank partially filled with water and pressurized to 6.8 psig has a circular gate in the side, 0.6 ft in diameter with an area of 0.283 ft2, hinged at the top. The top of the gate is 0.6 ft from the surface of the water. The center of pressure is 0.2 in below the centroid. The magnitude of the hydrostatic resultant force on the gate is 15.9 lbf. Local atmospheric pressure on the outside of the tank is 14.5 psia. What torque in ft-lbf is required at the hinge to keep the gate closed?

Find the centroid of the following figure, explain the procedure used to obtain it, step by step

13 см Vaxn's 29cm 26cm !- Stancs X ax. 5. Find The location of conter of gravity