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Mechanical Engineering

Deflection at a Slope Point

For the cantilever beam and loading shown, determine the deflection and slope at point B. Use E = 29,000,000 psi. Deflection a. 0.113 in b. 0.285 in c. 0.424 in d. 0.625 in Slope a. 0.0021 rad b. 0.0051 rad c. 0.0175 rad d. 0.0196 rad

What is the axial deformation in the link?

Each of the two vertical links BD has a uniform cross section 0.375 X 1.5 in. Determine the axial deformation and normal stress in each link for the loading shown. Determine the axial force in each link for the loading shown. Use E = 29 X 10^6 psi Axial deformation a. 0.00196 in b. 0.00392 in c. 0.00467 in d. 0.0

Determine the stress on a steel rod

The rod ABC is made of steel (E = 29 X 10^6 psi). Determine the normal stress in section BC. Determine the deflection at point B and C. See attached file for full problem description.

Determine the stress and critical load

A hollow brass rod is pin jointed and loaded in compression as shown. Knowing that the length L = 3 m, outside diameter D = 60 mm, and the wall thickness t = 10 mm, determine the critical load P. Use E = 105 GPa. Determine the normal stress at the critical load and what is the strain energy of the brass rod at the critical lo

Polar coordinate problem

After taking off, a helicopter climbs in a straight line at a constant angle B. Its flight is tracked by radar from point A. Determine the speed of the helicopter in terms of d, B, p and p dot. I know that in polar coordinates: v=r(p dot) I know I need to get r in terms of d, B, p and p dot. I have been trying different

Introductory Thermodynamics - rigid tank

A rigid tank with a volume of 2.5m^3 contains 5kg of saturated liquid-vapor mixture of water at 75 deg C. Now the water is slowly heated. Determine the temperature at which the liquid in the tank is completely vaporized. Also show the process on a T-v diagram with respect to saturation lines.

Hydrostatic Pressure and Forces

Determine the force due to hydrostatic pressure acting on the hinge of the gate shown. The fluid density is d and the width of the elliptical gate (out of the page) is 6H. (I have attached the picture provided) The answer is supposed to be: 21(pi)dg(H^3)/8

Hydrostatic Relation Empirical Formulas

An empirical formula relating pressure and density for seawater w/ temperature held constant is: p/pa = (k+1)(q/qa)^7 - k where p= pressure pa = pressure at the surface k = dimensionless constant q = density qa = density at the surface Using the formula in the

Number sentences

Komodo dragons are the largest lizards known to man. A 250-pound dragon can eat enough food to increase it body weight by 1/2. Which number sentence could be used to find w, the weight of a komodo dragon after increasing it body weight by 1/2? If eight people share in eating 3/4 of a quart of ice cream, how much will each per

Bullet Final Velocity in Water

A bullet is fired into water with an initial velocity of 60m/s. Acceleration = -0.4v^3 m/s^2. Find the velocity of the bullet and the distance it has traveled into the water after 4 seconds. Please show detailed step by step process to solution.

Mechanical Vibrations

1) A machine tool having a mass of 1000 kg and a moment of inertia J = 300 kg-m2, is supported on elastic supports with stiffness's and locations shown. i) Find the natural frequencies of the machine tool. ii) What are the corresponding amplitude ratios? (There are 2 separate questions in 1 problem). Please see attached

Finding Magnification factor M for Frequency Ratio

1) In the idealized model attached shown, m = 15 kg, k = 135 N/m, and the viscous damping ratio is 0.15. Assume that an external harmonic force F(t) = 15 cos 4 t acts on the system with F0=15 N and forcing frequency of 4 rad/s. i) Find the magnification factor M for the frequency ratio r of 1.382. ii) What is the amplitude o

Matrix equation of motion

1) For the two degree of freedom structure shown: i) what is the matrix equation of motion?. Assume that m1 and m2 oscillate harmonically with the same frequency but with different amplitudes X1 and X2 of x1(t) and x2(t). ii) what are the values of the amplitude ratios r1 and r2 if m1 = m2 = m, k1 = k, and k2 =3k? See a

Maintaining a Large Refrigeration Plant

A large refrigeration plant is to be maintained at -15C, and it requires refrigeration at a rate of 100kW. The condenser of the plant is to be cooled by liquid water, which experiences a temperature rise of 8C as it flows over the coils of the condenser. Assuming the plant operates on the ideal vapor-compression cycle using refr

The compression ratio of an air-standard Otto cycle is 9.5

The compression ratio of an air-standard Otto cycle is 9.5. Prior to the isentropic compression process, the air is at 100 kPa, 17 C, and 600 cm2. The temperature at the end of the isentropic expansion process is 800K. Using specific heat value at room temperature, determine: 1. The highest temperature and pressure in the

Flow Rate - Manometer

Water flows through the pipe contraction shown in the figure below. For the given 0.2 m difference in the manometer level, determine the flowrate as a function of the diameter of the small pipe, D. See attached file for full problem description.

An ideal vapor-compression refrigeration cycle uses R-134a

An ideal vapor-compression refrigeration cycle uses R-134a as the working fluid in an air-conditioning system. The refrigerant enters the compressor as a saturated vapor at 40 °F and leaves the condenser as a saturated liquid at 130 °F. The mass flow rate of the refrigerant is 1.5 lbm/s. Calculate the following: a. The hea

Moment of Force Problem

1. Three forces F1, F2, and F3 or magnitude 40 N, 100N and 20 N are acting on a point. The direction of the forces are 0,-30 and +120 degrees from the positive X axis. Determine the magnitude and direction of the resultant force.

Dynamics Projectile Problem

A hunter in the plains of Africa is equipped with a bow and arrow. The maximum range of the bow is 100 m. If a Lion charges straight towards him at 30 km/h and the hunter aims his bow at 20 degrees relative to the horizontal, find: (a) time of flight of the arrow (b) arrow velocity (c) how far away should the lion be when t

A Tricky String Pulley Problem in Dynamics

Problem # 2 - If the end of the cable at A is pulled down with a speed of 2 m/s, determine the speed at Which block B rises. Give logical explanation i.e. qualitative as well as quantitative way. For figure, please see attached file.

Advanced Dynamics

Collar C slides relative to the curved rod at a constant speed u, while the rod rotates about the horizontal axis at the constant rate. Determine the acceleration of the collar in terms of theta.

A turbine salesman makes the following claim

A turbine salesman makes the following claim for one of his products: Steam enters a steady-flow adiabatic turbine at 4 MPa, 600 °C with negligible velocity and exhausts at 200 kPa with a velocity of 180 m/s. The flow rate is 2.2 kg/s and the turbine power is 2 MW. a. If the turbine operated as described by the salesman, w

Refrigerant R-134a is compressed steadily and adiabatically

Refrigerant R-134a is compressed steadily and adiabatically in a reversible compressor. The volume flow rate entering the compressor is 800 ft3/min. The R-134a enters the compressor at 120 psia, 100 °F and leaves with its pressure being twice the inlet value. Neglect kinetic energy changes, and calculate the power required t

Employing the Ideal Gas Model, Determine the Change

Employing the ideal gas model, determine the change in specific entropy between the indicated states, in Btu/lbmol?ºR. Solve 2 ways: Use the appropriate ideal gas table AND also by using a constant specific heat value. a) Air, P1 = 1 atm, T1 = 40 ºF, P2 = 1 atm, T2 = 400 ºF b) Air, P1 = 20 psia, T1= 100 ºF, P2 = 60 psia,

Refrigeration cycles

A refrigeration system using refrigerant 22 is to have a refrigerating capacity of 80 kW. The cycle is a standard vapor-compression cycle in which the evaporating temperature is -8 degrees Celsius and the condensing temperature 42 degrees Celsius. (a) Determine the volume flow of refrigerant measured in cubic meters per seco

A heat pump is used to maintain a house

A heat pump is used to maintain a house at a constant temperature of 23 °C. The house is losing heat to the outside air through the walls and the windows at a rate of 60,000 kJ/hr while the energy generated within the house from people, lights, and appliances amounts to 4000 kJ/h. For a Coefficient of Performance (COP) of 2.5,