The two shafts in a speed-reducer unit are subjected to couples of magnitude M1 = 18 N · m and M2 = 7.5 N · m, respectively. Replace the two couples with a single equivalent couple, specifying its magnitude and the direction of its axis.

Maximum tensile and compressive bending stresses : 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. |

Determining the velocity of motor having constant power : A constant power of 1.5 hp is supplied to the motor while it operates with an efficiency of ε = 0.8. Determine the velocity of the 200-lb crate in 15 seconds, starting from rest. Neglect friction. |

Angular acceleration of the spool : determine the angular acceleration of the spool and the acceleration of the trailer. The wheels have negligible mass and are free to rotate. |

Spreader beam and hoisted by a crane : The 3.5mg engine is suspended from a 500 kg spreader beam and hoisted by a crane which gives it an acceleration of 4m/s^2 when it has a velocity of 2m/s. determine the force in chains AC and AD during the lift. |

Shafts in a speed-reducer unit : The two shafts in a speed-reducer unit are subjected to couples of magnitude M1 = 18 N · m and M2 = 7.5 N · m, respectively. |

Absolute pressure of the carbon dioxide in the can : The circular top of a can has a radius of .0320m. the pull-tab has an area of 3.8x10^-4 m^2. The absolute pressure of the carbon dioxide in the can is 1.40x10^5Pa. find the force that these gas generates on the top of a can? |

Elastic modulus of steel : Given: elastic modulus of steel is 200 GPa, yield and ultimate tensile strength of steel are 600 and 750 MPa, respectively. |

Dimensions of an acceptable box of a largest area : A delivery company accepts only rectangular boxes the sum of whose length and girth (perimeter of a cross section) are equal to 108cm. Find the dimensions of an acceptable box of a largest area. |

Determine the value of po : Determine the value of Po, as a funciton of H, for these two investment alternatives to be equivalent at an interest rate of i=15% per year. |

## Position of the race car when acceleration is givenStarting from x = 0 with no initial velocity, the acceleration of a race car is defined by the relation a = 6.8e- 0.00057x , where a and x are expressed in m/s 2 and meters, respectively. Determine the position of the race car when v = 30 m/s. |

## Determine the compression of each springThe 75 lb block is released from rest 5 ft above the plate. Determine the compression of each spring when the block momentarily comes to rest after striking the plate. |

## Horizontal and vertical component from this acting forceWhat would be the Horizontal and vertical component from this acting force see diagram |

## Temporary change on the highwayDetermine the minimum distance from the diversion that a road sign should be located informing drivers of the temporary change on the highway. The letter height on the road sign is 5 inches. |

## Finding average time in systemIf the time required to pay for parking is exponentially distributed with a mean of 15 seconds, find the average time in system. |

## Determining the amount of investmentIf they plan to increase their savings by 5% each year, how much must they invest in the first year given that they expect to earn 4% per year on their investment? |

## Description of the soil characteristicsFor each of the horizons, provide a description of the soil characteristics and briefly describe the environment where you would expect to find the horizon? |

## Estimating annual erosionUsing the USLE, estimate the annual erosion from a 100 ha. forested watershed assuming the following: R =112 tonnes/ha/year. The forest is in fair condition with 40% cover; Average slope is 3%; The soils are clay loam in hydrologic group C. |

## Total vehicle delay in the cycle with queueing diagramIf the queue clears exactly at the end of the effective green D/D/1 queuing applies, determine the total vehicle delay in the cycle (in veh-sec) . |

## Bisection method to find the root of equationUse the bisection method to find the root of the equation f(x) = x 2 - 4sin(x) = 0. For initial bracketing interval [a,b] , take a=1 and b = 3. |

## Probability of finding a bad rivetSamples of 20 rivets for a steel structure are checked for quality every hour. The probability of finding a bad rivet that has to be scrapped is 1%.assume that x is the number of parts in the sample of 20 that have to be scrapped. |

## Magnitudes of the additional loadsDetermine the magnitudes of the additional loads that must be applied at B and F if the resultant of all six loads is to pass through the center of the mat. |

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