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A rectangular plate has two holes of dimensions shown and is released from the position. The plate is hinged about a horizontal axis and can rotate in the vertical plane. An external moment of magnitude 110 N-m is applied in the counter clockwise direction as shown. A frictional moment of magnitude 10 N-m resists the rotation. The specific weight of the material is 250 lbs / ft3. Assume uniform density.
(a) Calculate the mass moment of inertia of the plate about the axis of rotation
(b) Find the moment created by the weight of the plate about the axis of rotation
(c) Find the angular acceleration of the plate at the instant it is released.
(d) What is the angular acceleration if the plate was rotating in horizontal plane?
Calculate the compacted cubic yards per hour if a compactor with a 5-ft drum width travels at 3 mph over a 10-in. lift of aggregate base course with 4 passes required to meet density specifications under average operating conditions.
Determine the critical depth in a trapezoidal channel with a 20 foot bottom width and 3:1 (H:V) side slopes if the Q = 1000cfs.
What is the length of the partial wavelength for electromagnetic energy with a frequency of 15 MHz and a phase shift of 263 degrees (in meters)?
A closed cylindrical tank filled with water has a hemispherical dome and is connected to an inverted piping system. The liquid in the top part of the piping system has a specific gravity of 0.68.
Assuming uniformly decelerated motion, determine the velocity and acceleration of point C of the belt, (a) immediately before the power is turned off. (b) 9 s later.
You may assume that the total pressure at the downstream station is uniform across the tunnel and given by the value at the wall. Neglecting gravitational effects.
0.5 m-diameter concrete pipe (5.0 cm rigid wall thickness with rigid pipe walls) carries water 600m before discharging into another reservoir. The surface elevation of the downstream reservoir is 55 m lower than the supply reservoir.
A dye test reveals that the specific discharge between the two wells is about 2.75 m/day. if the wells are 45m apart, What type of aquifer material do you expect in this location
A second load P2 is uniformly distributed around the cap plate at B. The diameters and thicknesses of the upper and lower parts of the post are dAB= 1.25 in, tAB= 0.5 in, dBC= 2.25 in and tBC= .375 in respectively.
When P = 800 lb, A) Draw the shear and bending moment diagram along its length; B) Determine the maximum tensile and compressive bending stresses; and C) determine the maximum shear stress.
A three span continuous beam has spans of 27, 30, and 27 feet. The beams support one-way slabs, 6 inches thick that span 20 feet center to center. Assume that the beams are 16 inches wide and 24 inches deep.
If the elevation difference between the water surfaces is y = 25 + x/11 metres, what minimum pipeline diameter will be required to convey the design discharge? Once your design is complete, determine the actual discharge. The value of x equals 23.
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