The block A has a mass of M and the cylinder B has a mass of m. The masses of the pulleys and the rope can be neglected. The slope angle is 20o.

The cylinder B is released from rest. Determine the speed of both masses (vA and vB) after B moves by h m. Also calculate the angular displacement for the pulley D. The diameter of the pulley D is 0.2 m. Neglect all friction.

## What is station and elevation of the lowest point on curveAn equal tangent vertical curve conects an initial grade of -3% and a final grade of +1% and is designed for 60mi/h. The PVI is at station 250+50 and elevation 732 ft. What is the station and elevation of the lowest point on the curve |

## Determine specific surfaces in m2 per g units for the sphereDetermine the specific surfaces in m2/g units for the spheres of diameters (a) 10.0 cm, (b) 1.0 cm,(c) 0.1 cm, (d) 0.01 cm. (e) 0.001 cm and (f) 0.0001 cm. Assume the mass density of spheres as 2.5g/cc. |

## Explain online professor''s response to probability problemsOnline professor's response to: Probability problems, A very rich investor has a small amount of spare cash which she wishes to invest. She has four options to choose from. |

## Calculating sand shear strengthEstimate the effective friction angle for the sand (assume c' = 0). Calculate the sand's shear strength (τf) on a horizontal plane at depths of the 20 ft and 50 ft. |

## Horizontal distance between the pointsA runs slope a distance of 156.777 m from one point to another point at a rate of +1.5%. What is the corresponding horizontal distance between the points? |

## Compute the radius of the curveA simple curve has a central angle of 42degreess. A point Y is located 24m from the vertex and has a perpendicular distance of 3.00m from the back tangent. |

## Explain can the system be viewed as being a pure substanceA system consists of liquid oxygen in equilibrium with oxygen vapor. How many phases are present The system undergoes a process during which some of the liquid is vaporized. |

## Deflection of a simple uniformly loaded beamDetermine the deflection of a simple uniformly loaded beam by the Ritz method,using first one term, then two terms, adn finally three terms in a sine series. Why does the coefficient of sin2piex/L vanish? |

## How to formulate a set of constraints that will enforceGiven the binary variables x1,x2,x3,x4 and x5, formulate a set of constraints that will enforce x3,x4, and x5 to equal one if x1=1 and x2=0. |

## Develop a spreadsheet application that will display in tabledevelop a spreadsheet application that will display in a table the values of modulus of elasticity Ec for concrete having unit weight ranging from 95 pcf to 155 pcf (in steps of 5 pcf) and compressive strength ranging from 3500 to 7000 psi |

## Determine the settlementsDetermine the settlements when a stress of 100 kPa is applied by the building over an area of 10m × 5 m on the soil surface. |

## Calculate the equilibrium concentration of dissolved oxygenCalculate the equilibrium concentration of dissolved oxygen in 15oC water at 1 atm, and again at 2000 m elevation. |

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