Concept explainers
The space shuttle, at lift-off from the launch pad, has four forces acting on it, which are shown on the free-body diagram (Fig. P8.47). The combined weight of the two solid rocket boosters and external fuel tank is
At liftoff, the orbiter engine thrust is directed at angle
(a) Resolve the orbiter thrust
(b) Derive an equation for the resultant moment acting on the craft in terms of the angle
(c) Write a computer program to solve for the angle
(d) Repeat the program for the minimum payload weight of the orbiter of
FIGURE P8.47
Want to see the full answer?
Check out a sample textbook solutionChapter 8 Solutions
Numerical Methods for Engineers
Additional Math Textbook Solutions
Basic Technical Mathematics
Advanced Engineering Mathematics
Fundamentals of Differential Equations (9th Edition)
APPLIED STAT.IN BUS.+ECONOMICS
Algebra: Structure And Method, Book 1
- At one point in time when a sprinter is leaving his starting blocks shortly after the starting gun has been fired, he is pushing back on one foot on the block. His other foot has left the block. The force he exerts on the block in the anterior posterior axis is 940 N and in the vertical axis he exerts a force of 910 N on the ground. What would be the magnitude and direction (relative to horizontal) of the resultant of these two forces?arrow_forwardA seasoned parachutist went for a skydiving trip where he performed freefall before deploying the parachute. According to Newton's Second Law of Motion, there are two forcës acting on the body of the parachutist, the forces of gravity (F,) and drag force due to air resistance (Fa) as shown in Figure 1. Fa = -cv ITM EUTM FUTM * UTM TM Fg= -mg x(t) UTM UT UTM /IM LTM UTM UTM TUIM UTM F UT GROUND Figure 1: Force acting on body of free-fall where x(t) is the position of the parachutist from the ground at given time, t is the time of fall calculated from the start of jump, m is the parachutist's mass, g is the gravitational acceleration, v is the velocity of the fall and c is the drag coefficient. The equation for the velocity and the position is given by the equations below: EUTM PUT v(t) = mg -et/m – 1) (Eq. 1.1) x(t) = x(0) – Where x(0) = 3200 m, m = 79.8 kg, g = 9.81m/s² and c = 6.6 kg/s. It was established that the critical position to deploy the parachutes is at 762 m from the ground…arrow_forwardA highway safety institution conducts experiments in which cars are crashed into a fixed barrier at 40 mph. In the institute's 40-mph offset test, 40% of the total width of each vehicle strikes a barrier on the driver's side. The barrier's deformable face is made of aluminum honeycomb, which makes the forces in the test similar to those involved in a frontal offset crash between two vehicles of the same weight, each going just less than 40 mph. You are in the market to buy a family car and you want to know if the mean head injury resulting from this offset crash is the same for large family cars, passenger vans, and midsize utility vehicles (SUVs). The data in the accompanying table were collected from the institute's study. Complete parts questions below. LOADING... Click the icon to view the data table.Large_Family_Cars Passenger_Vans Midsize_Utility_Vehicles266 148 226133 239 216406 341 185532 693 310149 548 349629 470 547167 321 394 (a) State the null and…arrow_forward
- please answer part c only. there are no external forces. and show workarrow_forwardA highway safety institution conducts experiments in which cars are crashed into a fixed barrier at 40 mph. In the institute's 40-mph offset test, 40% of the total width of each vehicle strikes a barrier on the driver's side. The barrier's deformable face is made of aluminum honeycomb, which makes the forces in the test similar to those involved in a frontal offset crash between two vehicles of the same weight, each going just less than 40 mph. You are in the market to buy a family car and you want to know if the mean head injury resulting from this offset crash is the same for large family cars, passenger vans, and midsize utility vehicles (SUVs). The data in the accompanying table were collected from the institute's study. Complete parts questions below. LOADING... Click the icon to view the data table. Large Family Cars Passenger Vans Midsize Utility Vehicles (SUVs) 266 148 226 133 239 216 406 341 185 532 693 310 149 548…arrow_forwardA highway safety institution conducts experiments in which cars are crashed into a fixed barrier at 40 mph. In the institute's 40-mph offset test, 40% of the total width of each vehicle strikes a barrier on the driver's side. The barrier's deformable face is made of aluminum honeycomb, which makes the forces in the test similar to those involved in a frontal offset crash between two vehicles of the same weight, each going just less than 40 mph. You are in the market to buy a family car and you want to know if the mean head injury resulting from this offset crash is the same for large family cars, passenger vans, and midsize utility vehicles (SUVs). The data in the accompanying table were collected from the institute's study. Complete parts (a) through (c) below.arrow_forward
- Determine the work done by the constant force. The locomotive of a freight train pulls its cars with a constant force of 7 tons for a distance of one-quarter mile.arrow_forwardA 4550kg aircraft generates a mid-flight thrust given by the vector ?? = 22? + 2? + 3.8? kN. It is simultaneously subjected to a resistance vector (drag and wind) as ?? = −15? − 1.2 − 2.4? kN. Calculate the net acceleration vectorarrow_forwardThe sides of a triangular area measure 2 m, 3 m, and 3 m, respectively. Calculate the force of water on one side of the area if the 2-m side is horizontal and 10 m below the surface and the triangle is:(a) Vertical (b) Horizontalarrow_forward
- Determine the work done by the constant force. A 1200-pound steel beam is lifted 40 feet.arrow_forwardIf a child pulls a sled through the snow on a level path with a force of 80 N exerted at an angle of 35° above the horizontal, find the horizontal and vertical components of the force.arrow_forwardAn eye-bolt has the forces applied to it as shown below. Calculate the resultant force.arrow_forward
- Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage