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Mechanical Engineering

Assignment Question 3 in Applied Mechanics

Fig. Q3 shows a rigid light beam which is hinged at O to a wall. The beam carries a point mass of m at the free end. The beam is connected at its mid-point to a spring (stiffness k) which is also connected to a support that moves with a vertical motion y = Y sinwt. A damper (coefficient c) connects the mid-point of the beam to a

Method of Sections

A. Find the reactions at A & G b. Use the METHOD OF SECTIONS to find the forces in members IJ, EJ, and DE. Indicate also whether in tension or compression. Please see the attachment.

Bernoulli's Equation Question

A venturi has a large section diameter of 4', where the velocity V1=20ft/sec. The pressure difference between this section and throat, (P1-P2) = 25 psi. If the fluid is sea water (Sg=1.03) what is the diameter of the throat? Use figure #3 attached.

Finding Vertical Distance in Pipe Line System

For the system in attachment, calculate the vertical distance between the surfaces of the two reservoirs when water at 10 degrees celcius flows from A to B at the rate of 0.03 m^3/s. Both pipes are cast iron and the elbows are standard. The total length of the 3" pipe is 100 meters. For the 6" pipe, it is 300 meters.

Automobile Pump Power

Gasoline is pumped from the gas tank of an automobile to the carburetor through a 10 ft long, 1/4" diameter fuel line of steel tubing. The line has five 90 degree smooth bends with r/d of 6. The gasoline discharges through a 1/32" diameter jet in the carburetor to a pressure of 14 psia. The pressure in the tank is 14.7 psia.

Forces of Equilibrium - Drawbridge

The drawbridge BCD weighs 1000 lbs. Calculate: (a) the tension in the cable AC. (b) Dx and Dy and the resultant, D. (Please see attachment.)

Forces of Equilibrium

(Please see the attachment.) 1. (a) Draw a free-body diagram of the system. (b) Find the forces acting on joints A,B & C. (c) Find the resultant A and its direction. Ax = _________ Ay = _________ A = __________ Bx = ___________ By = ___________ Cx = ___________ Cy = ___________

Deformed Surface Orientation

Suppose we want to determine how much of the orientation of the surface of a deformed body has changed from its original orientation ... **See attachment for complete question

Method of Joints: Tension or Compression

(a) Find the reactions A and D {see attachment for diagram} (b) Use the Method of Joints to determine the force in each member. Indicate the magnitude of the force whether the member is in tension or compression.

Dynamics Problem

At the instant that an object travels horizontally with a velocity of "v", passes at an elevation of "h" above a second object, the second object is released at an angle "x" to the horizontal with a velocity... (PLEASE SEE ATTACHMENT FOR COMPLETE PROBLEM AND DIAGRAM)

Dynamics Problem

An object turns about a center with constant tangential speed of 5.425m/s. The object is attached to the center by means of a cord of length 2m, and of negligable weight. Determine the values of radius of rotation "R" and "h". (See attachment for full question)

Dynamics Problem

In the pulley system shown, object "A" moves downwards with a velocity of 3m/s. Determine the magnitude and direction of the velocity of object "B".

Measuring Tension (Mechanical Eng.)

The 10-kg square plate shown is supported by three vertical wires. Determine the tension in each wire when a = 65mm. (FOR DIAGRAM PLEASE SEE ATTACHED.)

Statics: Finding Force Exerted and Reaction

A small hoist is mounted on the back of a pickup truck and is used to lift a 12kg crate. Determine (a) the force exerted on the hoist by the hydraulic cylinder BC, (b) the reaction at A.

Apt Program

Write the apt geometry and motion statements for the workpart shown.

NC Programming

Create an nc part program for making the slot shown in the attachment.The cutter diameter is 3/16 inch. The starting point is (0,0) at 2 inches to the left and 2 inches below the lower left corner of the part. There is also an example with a fully worked out solution included in the attachments. Write also the apt geometry and

Nc part program

Explain the difference between the following parts of nc programs: (a) N001 G01 G41 X005 Y017 EOB N002 EOB (b) N001 G41 E0B N002 G01 X005 Y017 EOB

Dynamics

Determine the position of the following system at t = 10 s (see attachment)

Manometers

2) See attachment for diagrams for both questions. 1) Two water manometers are connected to a tank of air. One leg of the manometer is open to 100kPa absolute pressure while the other leg is subjected to 90kPa. Find the difference in deflection between both manometers, delta ha - delta hb. 2) The inclined differential

Beam deflection and Stress at centroid?

Sometimes the term centroid throws me for a loop. So, how would I set this problem up? I'm asked to determine the deflection of the tip of a beam and max direct stress and location for a 2000N load. Given load=2000N, on the tip of a 1m beam. Beam dimensions are H=80mm B=W=40mm and t=thickness of 1.5mm.

Expression for a Floating Cube

a. The attachment shows a cube floating in a fluid. Derive an expression relating the submerged depth X, the specific weight of the cube, and the specific weight of the fluid. b. If the cylinder in the second attachment, made of a uniform material, is placed in fresh water at 95 degrees Celsius, how much of its height would

Determine modal ratios

For the two degrees of freedom structure shown, what are the values of the modal ratios if m1 = m2 = m, k1 = k, and k2 = 3k See Attached for question and details.

Determine frequency ratios

In the idealized model shown (See Attached) m = slug, k = 9 lb/ft and the viscous damping factor is 0.15. For what range of requency ratios will the magnification be greater than 1? (please see attached for details)

Determine Viscous Damping Coefficient C

A Mass-Spring-Damper is tested to determine the value of the viscous damping coefficient c. Assume k = 10 lb/ft and m = 2 slug. The vibrational amplitude is observed to decrease by 33% of its initial value after two consecutive cycles. What is the value of the viscous damping coefficient c? a. 0.9376 b. 0.8442 c. 0.779

Find the fuel consumption

In the an ideal turbo jet, the engine is designed such that the turbine work is divided equally between the compressor and the propeller. The gas from the turbine discharges to a nozzle for additional thrust. Consider such an engine where the air enters the diffuser at 200 m/s, 40 kPa, 240 K, and a flow rate of 40 kg/s. The comp