A 20-kg base satellite deploys three sub-satellites, each of which has its own thrust capabilities, to perform research on tether propulsion. The masses of sub-satellites A, B, and C are 4 kg, 6 kg, and 8 kg, respectively, and their velocities expressed in m/s are given by
Want to see the full answer?
Check out a sample textbook solutionChapter 14 Solutions
Vector Mechanics For Engineers
- The 3.55 kg collar shown below is attached to a spring and released from rest at A. The collar then travels downward a distance of y = 2.10 m. The spring has a spring constant of k = 23.5 N/m. The distance a is given as 1.20 m. The datum for gravitational potential energy is set at the horizontal line through A and B.( Figure 1) Figure A TIarrow_forward1. A block with a mass of 1kg is initially at rest while held in contact with a compressed spring. The spring has a stiffness constant of 1000 N/m and is initially compressed by a length of 0.3 meters. Once the mass leaves the spring it will slide 1 meter across the surface of a table where u, = 0.2 is the coefficient of kinetic friction. There are no frictional losses while the mass is in contact with the spring, and there are no losses due to air resistance. Only losses are due to the interaction with the table during the 1-meter slide. The surface of the table is 2 meters above the floor. What is the speed of the mass just before it hits the floor? mass leaves spring 1 meterarrow_forward5 8 ✓ 11 ✓ Q4. As shown in the image below, a 112-kg crate starts sliding down the inclined plane from rest. The coefficient of kinetic friction between the crate and the inclined plane is = 0.22. Take g = 9.81 m/s². k = 2 kN/m 10 m 45° (1) Apply the principle of work and energy to determine the speed (in the unit of m/s) of the crate when it has slid down 10 m, just before it reaches the spring. Your answer must include 2 places after the decimal point.arrow_forward
- A 300-mm cantilever beam BC with uniform cross section A-A is supporting an inclined 225-N force acting on the top of the beam at C as shown below. Y B A4 A+ 225 N 300 mm 3 X 10 mm 30 mm 10 mm Section A-A 2← y -10 mm 30 mm (a) Show that the second moment of area about the neutral axis of the cross section A-A is given by I = 267 500 mm 4. (b) Draw and label the normal-force, shear-force and bending-moment diagrams for the beam by analysing an appropriate free-body diagram. (c) Determine the maximum magnitude and y location of the normal stress at B (x whether it is compressive or tensile. = 0). Statearrow_forwardA 60kg woman holds a 9kg package as she stands within an elevator that briefly accelerates upward at a rate of 1/4 of the acceleration due to gravity. The elevator starts from rest. a. If the elevator cables ruptured and the elevator starts to freely fall, determine the force exerted by the elevator on the woman. b. Determine the work done by the elevator on the woman carrying a package in 3 seconds. c. Determine the power supplied by the elevator on the woman carrying a package at t = 3 seconds. d. Determine the work done by gravity on the woman carrying a package in 3 seconds.arrow_forwardA5.2 kg object, initially at rest, is acted on by a net external force in a straight line described by F = Fo - (1-e-0.2 ) where F = 16 N and t is in %D seconds. What is the magnitude of the momentum of the object after 9.2 s has elapsed fromt= 0? Number Units What is the work of the net external force over the same duration? Number Unitsarrow_forward
- A 1-lb stone is dropped down the “bottomless pit” at Carlsbad Caverns and strikes the ground with a speed of 108 ft/s. Neglecting air resistance, determine the kinetic energy of the stone as it strikes the ground and the height h from which it was dropped. The kinetic energy of the stone is ____ft·lb. The height from which the stone was dropped is ___ft.arrow_forwardTo use the principle of work and energy to determine characteristics of a mass being pulled up an incline and determine the power that must be supplied to the system when the efficiency of the input system is considered. As shown, a 53 kg crate is pulled up a θ = 50 ∘ incline by a pulley and motor system. Initially at rest, the crate is pulled s = 2.1 m up along the incline. Undergoing constant acceleration, the crate reaches a speed of 2.1 m/s at the instant it has traveled this distance. Considering the coefficient of kinetic friction, μk = 0.13, determine the power that the motor must supply to the crate the instant the crate travels a distance of 2.1 m. If the motor has an efficiency of ε = 0.87 , what power must be supplied to the motor to raise the crate?arrow_forwardA box with a mass of 25 kg is moving downward at 5 m/s. The motor pulls on the cable with a force of F, which has a magnitude that varies as shown on the graph below. F(N) (s) Find the following, if F, = 200 N and F, = 400 N: 1) The nearest value of the initial momentum is equal to N.s с. 300 e. 450 а. 125 b. 225 d. 400 f. 800arrow_forward
- on. 9. A damaged 1200-kg car is being towed by a truck. Neglecting the friction, air drag, and rolling resistance, determine the extra power required (a) for constant velocity on a level road, (b) for constant velocity of 50 km/h on a 30° (from horizontal) uphill road, and (c) to accelerate on a level road from stop to 90 km/h in 12 s.arrow_forwardQ2: Sphere A collides with B as shown. If the coefficient of restitution is e = 0.5, determine the velocities of the two balls after impact if the velocities and masses of sphere A&B before impact are (ma= 10 kg, ms = 1 kg, vA= 2 m/sec, Us= 10 m/sec) respectively. "g- m/s kg /30 m2 mi kg A m/sarrow_forwardfrictionless A B 从= 0.5 U = 0.5 d A circular cylinder of radius r=0.14 m and mass 2.2 kg is placed on two semi-circular cylinders of same radii r and mass 1.1 kg each, as shown, in a uniform gravitational field with g=9.8 m/s. The contact between the cylinders is frictionless, while the coefficient of static friction u=0.5 between the semi- circular cylinders and the ground. Calculate the maximum value of distanced (in m) shown so that the arrangement can be in static equilibrium (answer correct to 2 decimal places).arrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY