Problem 1. Multiple choices (check only one answer per group) a) Polar moment of
ID: 1386608 • Letter: P
Question
Problem 1. Multiple choices (check only one answer per group) a) Polar moment of inertia, area moment of inertia, and moment of inertia A) are conceptually-related physical quantities. B) have to do with area or mass. C) account for not only the effect of area or mass. but also how far the area or mass is distributed away from an axis. D) All of the above. b) Mathematical pendulum and physical pendulum A) obey the same mathematical form of equation of motion but have different parameters. B) have different periods of periodic motions. C) are different because one considers rigid body rotation but the other does not. D) All of the above. c) Work-energy principle A) is applicable to particle dynamics but not to rigid body dynamics. B) relates the work done by externally applied force and the change in kinetic energy of the system. C) defines potential energy. D) None of the above. d) The angular velocity and angular acceleration A) are different names for velocity and acceleration, respectively. B) vary from point to point on a rigid body. C) Both A and B. D) Neither A nor B. e) Which is the following statement is NOT true about the principle of superposition? A) It can be applied to problems of axial loading. torsion and bending. B) It is only applicable to linear systems. C) It is not applicable to combined loading problems. D) It can be applied to mechanics as well as dynamic problemsExplanation / Answer
1. By definition of the three moment of inertias, we know that they are related physical quantity and relate the area and mass of the body.
more over using the parallel axis theorem, we can also see that their values depend on how far the area and mass distributed frm axis. so D is the correct answer.
2. once again D is the correct answer as all the statements are true and come direct from the definition of mathematical and physical pendulum.
mathematical pendulum considers point mass hanging while physical has a rigid bogy hanging which results in moment of inertia of body coming into the picture, consequently the time periods also change.
3. the work energy thm can be applied to any system (particle or rigid body), as long as we cam keep track of all the energies exchanged.
the work done can also result in change in potential energy.
Potential energy is a term that is considered in the work energy principle, its not defined by it.
so noe of the above (D) is the correct answer.
4. when the displacement is measured in terms of angle, the corresponding velocity and acceleration is reported with a prefix "angular".
the angular velocity and acceleration of a body is the same at all the points, otherwise the shape of the body will get distorted which is not possible for rigid body. so A is correct.
5. B is the wrong statement as superpostion can be applied to both linear as well as non linear systems for vector quantities.
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.