Mechanics Quiz - Objective & Theoretical Questions

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Questions and Answers

Which type of support allows rotation but prevents translation in any direction?

  • Hinged Support (correct)
  • Fixed Support
  • Floating Support
  • Roller Support

What is the function of the centroid in mechanics?

  • To find the point of maximum stress in a structure
  • To determine the center of mass for uniform load distribution (correct)
  • To resolve all applied forces in a structural analysis
  • To identify the rotational equilibrium point of a body

For which type of force system is Lami's theorem applicable?

  • Concurrent forces acting in different planes
  • Coplanar concurrent forces (correct)
  • Non-concurrent forces acting on a rigid body
  • All types of force systems

Which of the following methods is commonly used to determine internal forces in a truss?

<p>Method of Sections (C)</p> Signup and view all the answers

What characterizes uniform rectilinear motion?

<p>Acceleration is zero (D)</p> Signup and view all the answers

The instantaneous center of rotation indicates what aspect of rigid body motion?

<p>The point of zero velocity (A)</p> Signup and view all the answers

D'Alembert's principle is primarily used for which analysis?

<p>Dynamic analysis of moving objects (C)</p> Signup and view all the answers

Which type of motion is NOT characterized by constant acceleration?

<p>Uniform circular motion (D)</p> Signup and view all the answers

Flashcards

Fixed Support

A fixed support is a type of support that prevents both translation and rotation at the point of contact. It is often represented as a rigid wall or a fixed pin.

Roller Support

A roller support is a type of support that allows translation in one direction but prevents rotation. It is often represented as a cylindrical roller on a horizontal track.

Hinged Support

A hinged support is a type of support that allows rotation but restricts translation. It is often represented as a pin joint.

Centroid of a Composite Shape

The centroid of a composite shape is the geometric center of that shape. It is the point where the shape would balance perfectly if it were made of uniform density material.

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Lami's Theorem

Lami's theorem is a principle that states that for a system of three forces acting at a point in equilibrium, each force is proportional to the sine of the angle between the other two forces. This theorem applies to coplanar concurrent force systems.

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Method of Joints

The method of joints is a technique used to analyze trusses by examining the forces acting at each joint of the truss. The forces are considered in equilibrium at each joint, allowing for a solution of all forces within the truss.

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Method of Sections

The method of sections is a technique used to analyze trusses by cutting through the truss and analyzing the forces acting on the cut section. The forces are considered in equilibrium on the cut section, allowing for a solution of internal forces.

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D'Alembert's Principle

D'Alembert's principle is a statement that converts a dynamic problem to a static one by introducing inertial forces. It is used to analyze motion of rigid bodies with constant acceleration.

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Study Notes

Instructions to Students

  • Each question carries 12 marks
  • Question 1 is compulsory and includes objective-type questions
  • Candidates must attempt 4 questions from questions 2 to 6
  • Scientific calculators are allowed
  • Assume suitable data where needed

Question 1 - Objective Questions

  • Q1.1: Fixed, roller, hinged, and floating supports are types of support in mechanics. A roller support is NOT a type of support in mechanics.
  • Q1.2: The centroid of a composite shape is the point where the shape can rotate freely.
  • Q1.3: Lami's theorem applies to coplanar, concurrent force systems.
  • Q1.4: The method of joints is NOT used to analyze a truss; the methods which ARE used to analyze trusses are nodes and graphical methods;
  • Q1.5: Projectile motion is a motion with constant acceleration.
  • Q1.6: The instantaneous center of rotation of a rigid body is a point where velocity is zero.
  • Q1.7: D'Alembert's principle can be used to convert a dynamic problem into a static one, study impulse and momentum, and analyze rolling resistance.

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