You work at an industrial train platform and are operating two cranes to lift a 3000 lb train carDue to a limited budget, your crane cables have different maximum tensions: the left crane can hold 2000 lb of tension, but the right crane can only hold 1500 lb of tensionThe cranes are currently positioned so that the left cable makes a 55° angle with the horizontal top of the train car, and the right cable makes a 75° angleWhen the platform below the car is removed and its weight is applied, how much tension will each cable have in this position? Will the cables snap? To what angle could you adjust the left cable so that both cranes can lift the 3000 lb train car?
Southern Pecan Pie 1 (refrigerated ) pie crust , half a 15-ozpackage, softened as directed 1 3/4 cup(s) pecan halves 3/4 cup(s) (dark) corn syrup 1/2 cup(s) (packed) dark brown sugar 4 tablespoon(s) (unsalted) butter, melted 1 teaspoon(s) vanilla extract 3 large eggs Directions 1-Preheat oven to 425?FLine a 9-inch glass pie plate with the pie-crust doughFold overhang under and pinch to form a decorative edge2-Line the pie shell with foil, fill with dried beans or uncooked rice and bake 15 minutesRemove foil with beans or rice and return to oven until golden, 5 to 10 minutes longerCool on a wire rack3-Reduce oven temperature to 350?FCoarsely chop 1 cup pecans; reserve remaining pecan halves4-In large bowl, with wire whisk, mix corn syrup, brown sugar, melted butter, vanilla and eggs until blendedStir in chopped pecans and pecan halves5-Pour filling into crustBake 45 to 50 minutes, until edges of filling are set (center will jiggle slightly)Cool completely on wire rackGarnish with whipped cream before serving, if you like.
Part 1Present position; Let T1 tension in cable on left and T2 tension in cable on right(Cos 55`)(T1) must (cos 75`)(T2) T2 2.216(T1) Therefore; (sin 55)(T1) + (sin 75)(2.216 T1) must 3,000 lbs (.819 T1) + (2.14 T1) 3,000 lbs T1 1,013.688 Lbs T2 (2.216)(1,013.688 lbs) 2,246.33 lbs 2,246.33 lb 1,500 lb and the cable on the right will breakPart 2At it's max load the Y component of Load 2 (sin 75`)(1,500 lb) 1,448.89 lbsAt it's max load the X component of load 2 (cos 75`)(1,500 lb) 388.23 lbThe Y component of load 1 must (3,000 - 1,448.89)lbs 1,551.11 lbs The X component of load 1 must the same as load 2 388.23 lb The tension in cable 1 1598.96 lbs The left cable must be located at arc tan (1,551.11/388.23) 75.948 degrees above the horizontal top of the train car.
Light Georgia Pecan Pie - Topped With Honey Pecan Ingredients Makes 8-10 servingsFilling: 2 eggs ? cup sugar 1 cup light corn syrup 2 tablespoons all-purpose flour 1 tablespoon vanilla extract 1 cup chopped Georgia pecans 1 (9-inch) unbaked pie shell or prepared rolled pie dough (formed into a 9-inch pie pan) Honey Pecan Topping: 3 tablespoons light brown sugar 1 tablespoon butter 3 tablespoons honey 1 cup Georgia pecan halves Preparation Instructions 1 Preheat oven 375 F2 In mixing bowl, beat together eggs, sugar, corn syrup, flour and vanilla until creamyStir in Georgia pecans3 Pour into pie shell, bake 40-50 minutes or until pie is set4 In small pot, combine brown sugar, butter and honey5 Cook over low heat until comes to a boil, stirringStir in Georgia pecansRemove from heat6 During last 5 minutes of baking, remove pie from oven, spread topping evenly over topReturn to ovenBroil until topping is bubbly and golden brown, watch carefullyNutritional information per serving (with 9-inch pie shell): Calories 393 Protein (g) 4 Carbohydrate (g) 51 Fat (g) 21 Calories from Fat (%) 48 Saturated Fat (g) 3 Dietary Fiber (g) 2 Sugars (g) 41 Cholesterol (mg) 44 Sodium (mg) 150 Diabetic Exchanges: 3.5 other carbohydrate, 4 fat
found one the other day that does not use corn syrup and was the hit of the party!! Utterly Deadly Southern Pecan Pie Once you’ve made a pecan pie in a cast-iron skillet, you may never go back to a pie plateSimply.more Yield: Makes 8 to 10 servings Total: 4 Hours, 10 Minutes Recipe from Southern Living Ingredients 1/2 (14.1-oz.) package refrigerated piecrusts 1 tablespoon powdered sugar 4 large eggs $ 1 1/2 cups firmly packed light brown sugar 1/2 cup butter, melted and cooled to room temperature $ 1/2 cup granulated sugar $ 1/2 cup chopped pecans 2 tablespoons all-purpose flour $ 2 tablespoons milk $ 1 1/2 teaspoons bourbon $ 1 1/2 cups pecan halves Preparation 1Preheat oven to 325°Fit piecrust into a 10-inch cast-iron skillet; sprinkle piecrust with powdered sugar2Whisk eggs in a large bowl until foamy; whisk in brown sugar and next 6 ingredientsPour mixture into piecrust, and top with pecan halves3Bake at 325° for 30 minutes; reduce oven temperature to 300°, and bake 30 more minutesTurn oven off, and let pie stand in oven, with door closed, 3 hoursVanilla extract may be substituted My NOTES: might use half as much sugars as this was too sweet, at least for me.
