Videos
Decide on the type of problem for each question.
- a. For the meter stick example, tests have been conducted for extensions of 0.2, 0.4, 0.6, and 0.8 meters with loads of 2, 4, 6, and 10 coins and 5 large books in each test. What will the deflection be for 0.5 meters and 8 coins?
- b. If no books are used to hold one end of the beam, what will be the maximum number of coins that can be placed on the tip?
- c. For the meter stick example, we have deflection data for a 0.7 meter extension with 6 coins. What will the deflection be for 3 coins?
- d. For the meter stick example above, will 5 stacked coins placed on the tip yield a greater or smaller deflection than 5 coins placed along the beam only one high?
(a)
Find out the type of problem the given question corresponds.
Answer to Problem 1ICA
The given question corresponds to a parametric problem.
Explanation of Solution
Discussion:
The given question is about a test conducted for a meter stick with the extensions as 0.2 m, 0.4 m, 0.6 m and 0.8 m and with loads as 2,4 6 and 10 coins and 5 large books in each test. In this particular question a range of load and extension values is required.
This can be done in an easier way using spreadsheet along with graph for the range of input values. Therefore this problem can be grouped under the heading parametric.
Conclusion:
Hence, the given question corresponds to a parametric problem.
(b)
Find out the type of problem the given question corresponds.
Answer to Problem 1ICA
The given question can be referred to as a Discussion Problem as well as an Ideal Problem.
Explanation of Solution
Discussion:
In the given question it is required to find out the maximum number of coins that can be placed on the tip. We are required to study about the extension of the bean and it’s mass in comparison to that of coin. This therefore can be referred to as a discussion problem.
Half of the length of the beam should remain on the table or else it would fall off without any coin on the tip. Once the course in statics is completed by the student, the given problem can also be referred to as an ideal problem.
Conclusion:
Hence, the given question can be referred to as a Discussion Problem as well as an Ideal Problem.
(c)
Find out the type of problem the given question corresponds.
Answer to Problem 1ICA
The given question can be referred to as a Ratio.
Explanation of Solution
Discussion:
In the given question we are required to find out the deflection of 3 coins given that the deflection data of 6 coins for a 0.7 m extension is given.
The deflection will be double if the number of coins that is the load is doubled. Similarly if the load will be halved the deflection will be halved. We can infer this even if the governing equation is not known. Therefore in this question we are comparing a quantity with a known quantity therefore it is termed to be a ratio.
Conclusion:
Hence, the given question can be referred to as a Ratio.
(d)
Find out the type of problem the given question corresponds.
Answer to Problem 1ICA
The given question can be referred to as a Discussion.
Explanation of Solution
Discussion:
In the given question we are required to find out whether 5 coins placed on the tip yields greater or smaller deflection than the coins placed along the beam only one high.
If the coins are lined up, we get a distribution load which is more difficult to analyze than a point load this can however be easily understood through discussion as to how the distributed load will produce lesser deflection than the point load at the tip.
Therefore the given question can be inferred to be a discussion.
Conclusion:
Hence, the given question can be referred to as a Discussion.
Want to see more full solutions like this?
Chapter 6 Solutions
EBK THINKING LIKE AN ENGINEER
- on-the-job conditions. 9 ±0.2- 0.5 M Application questions 1-7 refer to the drawing above. 1. What does the flatness tolerance labeled "G" apply to? Surface F A. B. Surfaces E and F C. Surfaces D, E, H, and I D. The derived median plane of 12 +0.2 0.5 0.5 CF) 20 ±0.2 0.1 7. O 12 ±0.2- H 0.3 ASME Y14.5-2009arrow_forwardelements, each with a length of 1 m. Determine the temperature on node 1, 2, 3, 4. 3. Solve the strong form analytically (you may choose Maple, MATLAB or Mathematica to help you solve this ODE). Compare the FE approximate temperature distribution through the block against the analytical solution. 1 (1) 200 °C 2 (2) 3 m 3 (3)arrow_forwardCompute the horizontal and vertical components of the reaction at the pin A. B A 30° 0.75 m 1 m 60 N 0.5 m 90 N-marrow_forward
- A particle is held and then let go at the edge of a circular shaped hill of radius R = shown below. The angular motion of the particle is governed by the following ODE: + 0.4 02 - 2 cos 0 + 0.8 sin 0 = 0 where is the angle in rad measured from the top (CCW: +), ė 5m, as = wis the velocity in rad/s, ==a is the angular acceleration in rad/s². Use MATLAB to numerically integrate the second order ODE and predict the motion of the particle. (a) Plot and w vs. time (b) How long does it take for the particle to fall off the ring at the bottom? (c) What is the particle speed at the bottom. Hint v = Rw. in de all questions the particles inside the tube. /2/07/25 Particle R 0 0 R eled witharrow_forwardIf FA = 40 KN and FB = 35 kN, determine the magnitude of the resultant force and specify the location of its point of application (x, y) on the slab. 30 kN 0.75 m 90 kN FB 2.5 m 20 kN 2.5 m 0.75 m FA 0.75 m 3 m 3 m 0.75 marrow_forwardThe elastic bar from Problem 1 spins with angular velocity ω about an axis, as shown in the figure below. The radial acceleration at a generic point x along the bar is a(x) = ω 2 x. Under this radial acceleration, the bar stretches along x with displacement function u(x). The displacement u(x) is governed by the following equations: ( d dx (σ(x)) + ρa(x) = 0 PDE σ(x) = E du dx Hooke’s law (2) where σ(x) is the axial stress in the rod, ρ is the mass density, and E is the (constant) Young’s modulus. The bar is pinned on the rotation axis at x = 0 and it is also pinned at x = L. Determine:1. Appropriate BCs for this physical problem.2. The displacement function u(x).3. The stress function σ(x).arrow_forward
- The heated rod from Problem 3 is subject to a volumetric heatingh(x) = h0xLin units of [Wm−3], as shown in the figure below. Under theheat supply the temperature of the rod changes along x with thetemperature function T(x). The temperature T(x) is governed by thefollowing equations:(−ddx (q(x)) + h(x) = 0 PDEq(x) = −kdTdx Fourier’s law of heat conduction(4)where q(x) is the heat flux through the rod and k is the (constant)thermal conductivity. Both ends of the bar are in contact with a heatreservoir at zero temperature. Determine:1. Appropriate BCs for this physical problem.2. The temperature function T(x).3. The heat flux function q(x).arrow_forwardA heated rod of length L is subject to a volumetric heating h(x) = h0xLinunits of [Wm−3], as shown in the figure below. Under the heat supply thetemperature of the rod changes along x with the temperature functionT(x). The temperature T(x) is governed by the following equations:(−ddx (q(x)) + h(x) = 0 PDEq(x) = −kdTdx Fourier’s law of heat conduction(3)where q(x) is the heat flux through the rod and k is the (constant)thermal conductivity. The left end of the bar is in contact with a heatreservoir at zero temperature, while the right end of the bar is thermallyinsulated. Determine:1. Appropriate BCs for this physical problem.2. The temperature function T(x).3. The heat flux function q(x).arrow_forwardCalculate the mean piston speed (in mph) for a Formula 1 engine running at 14,750 rpm with a bore of 80mm and a stroke of 53mm. Estimate the average acceleration imparted on the piston as it moves from TDC to 90 degrees ATDCarrow_forward
- Calculate the compression ratio of an engine with a stroke of 4.2inches a bore of 4.5 inches and a clearance volume of 6.15 cubic inches. Discuss whether or not this is a realistic compression ratio for a street engine and what octane rating of fuel it would need to run correctlyarrow_forwardDraw the free-body diagram for the pinned assembly shown. Find the magnitude of the forces acting on each member of the assembly. 1500 N 1500 N C 45° 45° 45° 45° 1000 mmarrow_forwardAn elastic bar of length L spins with angular velocity ω about an axis, as shown in the figure below. The radial acceleration at a generic point x along the bar is a(x) = ω 2 x. Due to this radial acceleration, the bar stretches along x with displacement function u(x). The displacement u(x) is governed by the following equations: ( d dx (σ(x)) + ρa(x) = 0 PDE σ(x) = E du dx Hooke’s law (1) where σ(x) is the axial stress in the rod, ρ is the mass density, and E is the (constant) Young’s modulus. The bar is pinned on the rotation axis at x = 0, and it is free at x = L. Determine:1. Appropriate BCs for this physical problem.2. The displacement function u(x).3. The stress function σ(x).arrow_forward
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY