EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 8220100254147
Author: Chapra
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 12, Problem 34P
Mechanical/Aerospace Engineering
Three blocks are connected by a weightless cord and rest on an inclined plane (Fig. P12.34a). Employing a procedure similar to the one used in the analysis of the falling parachutists in Example 9.11 yields the following set of simultaneous equations (free-body diagrams are shown in Fig. P12.34b):
Solve for acceleration a and the tensions T and R in the two ropes.
FIGURE P12.34
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
1. In general, what pattern do you notice between the force due to the gravity of the masses and the displacement of the spring?
2. What is the physical meaning of the slope?
3. Using the slope for each spring, what would be the force required to stretch the spring 0.10 m?
4. Using the slope for each spring, what would be the amount of stretch with a 500 g mass hanging on the spring?
Ps: pls refer to the graph below
Question 2
You want to move a hay bale to the top of a hill
using a forklift. Find the minimum tractive force,
P, between the tires and the ground that is
required to move the hay bale. The mass of the
bale is 1200 kg. Assume u, = 0.4 between the bale
and the ground and between the bale and the
vertical forklift platform.
30°
P = 22.1 kN
8. You were told that on top of the skyscraper that you are in, the gravitational potential
energy at the top is 1 MegaJoule. If this was measured relative to an average person
weighing 65 kg, how high is the skyscraper? (2 pts)
a. 156.8 m
b. 657.2 m
c. 1568 m
d. 6572 m
9. A load with m = 105 g is attached to a vertical spring that has been compressed by
15 cm. What is the force constant of the spring?
a. 6.86 N/m
b. 1.029 N
c. 0.105 kg
d. 7.72 x 10-2 J
Chapter 12 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 12 - Chemical/Bio Engineering
12.1 Perform the same...Ch. 12 - Chemical/Bio Engineering If the input to reactor 3...Ch. 12 - Chemical/Bio Engineering Because the system shown...Ch. 12 - Chemical/Bio Engineering
12.4 Recompute the...Ch. 12 - Chemical/Bio Engineering Solve the same system as...Ch. 12 - Chemical/Bio Engineering
12.6 Figure P12.6 shows...Ch. 12 - Chemical/Bio Engineering
12.7 Employing the same...Ch. 12 - Chemical/Bio Engineering The Lower Colorado River...Ch. 12 - Chemical/Bio Engineering A stage extraction...Ch. 12 - Chemical/Bio Engineering
12.10 An irreversible,...
Ch. 12 - Chemical/Bio Engineering
12.11 A peristaltic pump...Ch. 12 - Chemical/Bio Engineering
12.12 Figure P12.12...Ch. 12 - Civil/Environmental Engineering A civil engineer...Ch. 12 - Civil/Environmental Engineering Perform the same...Ch. 12 - Civil/Environmental Engineering
12.15 Perform the...Ch. 12 - Civil/Environmental Engineering Calculate the...Ch. 12 - Civil/Environmental Engineering In the example for...Ch. 12 - Civil/Environmental Engineering Employing the same...Ch. 12 - Civil/Environmental Engineering Solve for the...Ch. 12 - Prob. 20PCh. 12 - Prob. 21PCh. 12 - Civil/Environmental Engineering
12.22 A truss is...Ch. 12 - Electrical Engineering
12.23 Perform the same...Ch. 12 - Electrical Engineering Perform the same...Ch. 12 - Electrical Engineering
12.25 Solve the circuit in...Ch. 12 - Electrical Engineering
12.26 An electrical...Ch. 12 - Electrical Engineering
12.27 Determine the...Ch. 12 - Electrical Engineering Determine the currents for...Ch. 12 - Electrical Engineering The following system of...Ch. 12 - Electrical Engineering
12.30 The following system...Ch. 12 - Mechanical/Aerospace Engineering Perform the same...Ch. 12 - Mechanical/Aerospace Engineering
12.32 Perform the...Ch. 12 - Mechanical/Aerospace Engineering
12.33 Idealized...Ch. 12 - Mechanical/Aerospace Engineering Three blocks are...Ch. 12 - Mechanical/Aerospace Engineering Perform a...Ch. 12 - Mechanical/Aerospace Engineering Perform the same...Ch. 12 - Mechanical/Aerospace Engineering
12.37 Consider...Ch. 12 - Mechanical/Aerospace Engineering The steady-state...Ch. 12 - Mechanical/Aerospace Engineering
12.40 A rod on a...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- SUBJECT:MECHANICAL ENGINEERING Q1: A 10 kg body falls from rest with negligible interaction with its surroundings (no friction). Determine its velocity after it falls 3.8 m. Use the 1st Law of Thermo to solve this problem. You may use your knowledge of kinematics or dynamics to verify your solution but the solution must be derived from the 1st Law equation. Ans. 8.64 m/s (Is it ∆ U=-W ? Show your work)arrow_forwardFebruary 7, 2021 H.W MECHANICS PHrsics Example 5.13 Friction in horizontal motion You want to move a 500-N crate across a level floor. To start the crate moving, you have to pull with a 230-N horizontal force. Once the crate "breaks loose" and starts to move, you can keep it moving at constant velocity with only 200 N. What are the coeffi- cients of static and kinetic friction? Example 5.15 Minimizing kinetic friction In Example 5.13, suppose you move the crate by pulling upward on the rope at an angle of 30 above the horizontal. How hard must you pull to keep it moving with constant velocity? Assume that H = 0.40. Example 5.16 Toboggan ride with friction I Let's go back to the toboggan we studied in Example 5.10. The wax has worn off, so there is now a nonzero coefficient of kinetic friction 4. The slope has just the right angle to make the toboggan slide with constant velocity. Find this angle in terms of w and Hg. Example 5.17 Toboggan ride with friction II The same toboggan with…arrow_forwardattempt.php?attempt3D200835&cmid%3D11894 ces This course CHide block What would be the maximum weight W of the block, shown in the following figure, so that the tension developed in any cable does not exceed 600 N: t of 30° 40° B Activatandov Select one:arrow_forward
- Math, 11.11.2020 07:15, kateclaire The force-deflection relation of a steel helical spring used in an engine is found experimentally as f(x) = 200x+50x2 +10x3 where the force (f) and deflection (x) are measured in pounds and inches, respectively. If the spring undergoes a steady deflection of 0.5 in. during the operation of the engine, determine the equivalent linear spring constant of the spring at its steady deflection.arrow_forward11. A beaker of water sits on a balance. A metal block with a mass of 70 g is held suspended in the water by a spring scale in position 1, as shown. In this position, the reading on the balance is 1260 g, and the spring scale reads 120 g. When the block is lifted from the water to position 2, what are the readings on the balance and spring scale? Balance reading Spring scale reading 1190 g 1190 g 1260 g 1330 g 120 g (A) (В) (C) (D) 190 g 120 g 120 garrow_forward1. A thermometer is taken from a room that is 20 °C to the outdoors where the temperature is 5 °C. After one minute, the thermometer reads 12 °C. Use Newton's Law of Cooling to answer the following questions:- (a) What will the reading on the thermometer be after one more minute? (b) When will the thermometer read 6 °C?arrow_forward
- 7. Billy Bob is trying to decide whether to push a 50 kg dresser up a 4.5 m ramp or lift it directly into the back of a truck. The floor of the truck is 1.5 m above the surface of the street. a. What is the ideal mechanical advantage of the ramp? b. How much force is required to lift the dresser vertically upwards into the back of the truck? C. If the ramp were frictionless, then how much force is needed to push the dresser up it at constant speed? d. up the Billy Bob realizes that the ramp has a fairly rough surface. When he pushes the dresser ramp, he has to apply 225 N of force. What is the mechanical advantage of the ramp? How much work is required to lift the dresser vertically into the back of the truck? f. How much work is required to move the dresser up the ramp? e. g. What is the efficiency of the ramp?arrow_forward1%EA I. docs.google.com/forms/d/e/1FA O * For figure below, the tension in the cable is 0.25 m 25° B 0.5 m - 0.12 m 1.5 m 14. &N 5 m 23.5 29.5 25.5 27.5 صفحة 1 من 1 إرسالarrow_forwardTab Window Help 1 / 12 88% + 1) Use the method of members to determine the true magnitude and direction of the forces in each of the members 1,2. of the frame shown below in Fig5.1. member-2 2' 1' member-1 30. 100lb Fig 5.1 FREE BODY DIAGRAM MEMBERS member-2 member-1 30 MAY 12 stv A Aa Aarrow_forward
- F •G y h A В + da dg cc UBC Engineering Given: The horizontal force F=450 is applied at a height y = 0.6 m from the bottom of the cart The cart's total mass of m = 350 kg with a center of mass at G. The center of gravity G is located at a height h = 1.5 m from the ground. d_A = 0.91 m and d_B = 0.78 m. %3D %3D %3D Find: al Acceleration of the cart b/ Normal forces at A and B. Assume the wheels have negligible mass and no rolling resistancearrow_forwardScience 24: Module 4 Section 4 Assignment: The Technology of Safety For questions1 and 2, read each question carefully, Decide which of the choices BEST completes the statement. Place your answer in the blank space given. 23 1. Safety features in a vehicle work to reduce forces in a collision by A. lengthening the time in which changes in momentum occur B. decreasing the time in which changes in momentum occur C. decreasing the time of the impulse D. increasing the change in momentum 2. Road safety features, such as crash cushions and modern guardrails, reduce the force of a collision by A. increasing the impulse B. decreasing the impulse C. increasing the time over which the impulse occurs D. decreasing the time over which the impulse occurs 3. Safety engineers use people in a collision. to see what will happen to 4. Decide whether each of the following statements is true (T) or false (F). Place your answer in the blank space provided. a. Restraining features operate continuously…arrow_forwardaccount_circle Science PhysicsQ&A LibraryA child’s toy consists of a m = 31 g monkey suspended from a spring of negligible mass and spring constant k. When the toy monkey is first hung on the spring and the system reaches equilibrium, the spring has stretched a distance of x = 17.6 cm, as shown in the diagram. This toy is so adorable you pull the monkey down an additional d = 7.6 cm from equilibrium and release it from rest, and smile with delight as it bounces playfully up and down. 1. Calculate the speed of the monkey, ve, in meters per second, as it passes through equilibrium. 2. Derive an expression for the total mechanical energy of the system as the monkey reaches the top of the motion, Etop, in terms of m, x, d, k, the maximum height above the bottom of the motion, hmax, and the variables available in the palette. 3. Calculate the maximum displacement, h, in centimeters, above the equilibrium position, that the monkey reaches. A child’s toy consists of a…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Heat Transfer (Activate Learning wi...Mechanical EngineeringISBN:9781305387102Author:Kreith, Frank; Manglik, Raj M.Publisher:Cengage Learning
Principles of Heat Transfer (Activate Learning wi...
Mechanical Engineering
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Cengage Learning
Matrix Factorization - Numberphile; Author: Numberphile;https://www.youtube.com/watch?v=wTUSz-HSaBg;License: Standard YouTube License, CC-BY