Concept explainers
Suppose that a projectile is launched upward from the earth's surface. Assume that the only force acting on the object is the downward force of gravity. Under these conditions, a force balance can be used to derive,
where
Want to see the full answer?
Check out a sample textbook solutionChapter 25 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Additional Engineering Textbook Solutions
Fundamentals of Differential Equations (9th Edition)
Basic Technical Mathematics
Advanced Engineering Mathematics
Calculus, Single Variable: Early Transcendentals (3rd Edition)
- Q1: 1. 3. Find the relative velocity of car A relative to в. Choose the correct answer 20 m/s 50 m/s A car is moving on a concave road as shown [30 m/s Find the reaction between the car and road mass of car = 900 kg and R = 50 m ( assume g = 10 m/s ) ( a =v/r) Select one: Select one: a. 50 m/s angle 45 a. 18000 kg b. 58.3 angle 30.9 b. 1800 kg c. 50 m/s angle 36.87 c. 18000 N d. 40 m/s angle 30 d. 16200 N 2. 4. A car initial velocity is 12 m/s moves with accn 3 Find the accn of the frictionless system shown. m/s Assume the pulleys are light and have no friction Assume g = 10 m/s" Find the its velocity after it moves a distance of 4kg 120 m 8 kg { laws you may use are 2 V,- V, = at , v. - v, = 2zas , s = v, t• 0.5 at } D1kg 5 kg Choose the correct answer Select one: a. 29.4 m/s Select one: b. 29.4 mm a. 1.579 m/s c. 23 m/s b. 2.22 m/s d. 21.9 m/s C. 2 m/s O d. 3 m/sarrow_forwardmechaarrow_forwardHi please show all work and explanation. Thank you.arrow_forward
- Tp = Fq +°P/Q• (1) Here ip/Q is the "position of point P relative to point Q." Similarly the velocities of the two points are related by õp = bq + Up/Q- (2) The quantity õp/Q is the velocity of point P relative to point Q. I want you to use these ideas to solve the following problems. 1. The figure below shows a view from above of a large boat in the middle of the ocean. So that the crew on the ship can get exercise on long journeys, there is a circular walking/running track on the back deck. CA B- -D Suppose that the radius of the track is R = 6 m, and a person is running on the track at a constant speed of v = 3m/s as measured with a stopwatch by a crew-mate on board the ship. Suppose the runner is running counter-clockwise around the track when viewed from above. Write the velocity vector of the runner in terms of basis (ê1, ê2) as perceived by a crew-mate on the ship. (a) What is the velocity vector when the runner is at point A? (b) What is the velocity vector when the runner is…arrow_forwardLook at the below system. Using either the conservation of energy method or Lagrange's method, solve for the governing equation of motion for the system. Put a box around your final answer. Also, put a box around your equations for the potential and kinetic energy of the system. Assume the system's springs are initially unstretched (i.e., assume that there is no gravity until t = 0 [s]). K₁ Î E K₂ Xarrow_forwardA mass weighing 24 pounds, attached to the end of a spring, stretches it 4 inches. Initially, the mass is released from rest from a point 2 inches above the equilibrium position. Give the initial conditions. (Use g 32 ft/s? for the acceleration due to gravity.) x(0) X ft %3D x'(0) ft/s Find the equation of motion. x(t) X ft Need Help? Read It Watch Itarrow_forward
- For the given velocity triangle, if you know that at the inlet, alpha is -20, beta is 59, the relative velocity is 78 m/s, r= 20 cm, rotation speed is 180 rpm. At the exit, alpha is 30 and the absolute velocity is 35 m/s. Find the following: 1. the relative velocity at the exit in (m/s) 2. the work in (KJ/Kg) Vw1 U, V1 V1 V2 Uz Center of wheelarrow_forwardfluid mechanicsarrow_forwardQ6 The relationship between the velocity, u, of a construction vehicle (in km/h) and the distance, d (in metre), required to bring it to a complete stop is known to be of the form d = au² + bu + c, where a, b, and c are constants. Use the following data to determine the values of a, b, and c when: a) u 20 and d = 40 b) u = 55, and d = 206.25 c) u = 65 and d = 276.25 [Note: Use an appropriate standard engineering software such as MATLAB, CAS calculator, programmable calculator, Excel software]arrow_forward
- 2- find the center of mass, the velocity of the center of mass, the momentum, and the kinetic energy of the following system: do f(xd) xaf] m₁ = 1 kg T₁=1+2j+3 k v₁ = 2î+3ĵ m₂ = 1 kg T₂ = 1-j+ k v₂ = 2) + 3karrow_forward2. I am planning to perform some model rocketry experiments. The payload is to be protected by a parachute as it returns to the ground. The predicted parachute drag force D can be obtained by the following equation: D = 0.5 pV²A CD Where D is the drag force in lbs., p is the density of air, V is the velocity of the falling rocket, A is the projected area of the parachute, Cp is the dimensionless coefficient of drag for the chute. My research has led me to find the following values: The density of air p is stated to be 0.074887 lbm/ft³ + 20% of the value The target falling speed is 30 ft/s + 2 ft/s The parachute is round, so the projected area is circular with a diameter of 25" + 1" The chute drag co-efficient is 0.9 ± 0.1 What is your projected drag force exerted by the chute with these parameters? What is your predicted uncertainty in this force value?arrow_forwardQ1: A100 kg man in space throws a 20kg space rock. As a result, the man accelerates to the left at 1m/s2.what is the acceleration of the rock?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