The center of gravity is the point in an object where the total weight can be considered to act. It is the balance point under the influence of gravity, not necessarily the geometric center.
What does particle dynamics focus on?
A Energy transfer
B Forces acting on a body
C Motion of a body with forces
D The motion of particles under force
Particle dynamics focuses on studying the motion of point masses or particles under the influence of forces. It includes analysis of velocity, acceleration, and momentum using Newton’s laws.
Which type of motion analysis studies forces and equilibrium of rigid bodies?
A Rigid body mechanics
B Fluid dynamics
C Particle dynamics
D Kinematics
Rigid body mechanics analyzes the motion of objects that do not deform under stress. It studies the forces, moments, and equilibrium conditions of rigid bodies, considering both translational and rotational motion.
What is the main use of the principle of virtual work?
A To calculate the deflection of a structure
B To analyze the energy conversion
C To find forces in equilibrium
D To determine the stress in a material
The principle of virtual work is used to calculate unknown forces in structures by considering virtual displacements. It is particularly useful in structural analysis to ensure equilibrium.
What is the formula for calculating the moment of inertia of a disc?
A m × r²
B 1/2 × m × r²
C 1/2 × m × r
D 1/4 × m × r²
The moment of inertia of a disc about its central axis is I = 1/2 × m × r², where m is the mass and r is the radius. It represents the rotational inertia or resistance to rotational motion.
What type of analysis is used to determine the failure of structures?
A Stress-strain analysis
B Particle dynamics
C Energy analysis
D Structural integrity analysis
Structural integrity analysis ensures that a structure can withstand applied loads without failure. It assesses the safety and durability of structures, identifying potential weaknesses that could lead to failure.
What is the formula for calculating the acceleration of an object?
A Force / Mass
B Distance / Time
C Force × Mass
D Velocity / Time
Acceleration is calculated by dividing the net force acting on an object by its mass. It describes the rate of change of velocity over time and is measured in meters per second squared.
What does stability analysis ensure in engineering?
A The deformation of materials
B The strength of materials
C The safety of a structure
D The velocity of an object
Stability analysis is used to ensure that a structure remains stable under applied loads and does not collapse. It considers factors like buckling, overturning, and sliding to maintain safety.
Which type of analysis involves the study of material deformation under load?
A Failure analysis
B Deformation mechanics
C Structural analysis
D Energy analysis
Deformation mechanics focuses on the study of how materials deform when subjected to external forces. It includes analyzing the stress-strain relationship, elastic and plastic deformation, and material failure mechanisms.
Which principle is used to determine the forces in a system when analyzing equilibrium?
A Force balance principle
B Energy conservation principle
C Momentum conservation principle
D Virtual work principle
The virtual work principle is applied in equilibrium problems to find the unknown forces in a system by considering hypothetical displacements or virtual movements. It simplifies the analysis of complex structures.
What is the main function of mechanical vibrations analysis?
A To calculate work and energy
B To study forces in equilibrium
C To study oscillatory motion
D To measure displacement of particles
Mechanical vibrations analysis focuses on studying oscillatory motion in systems, such as springs and beams. It includes the study of resonance, natural frequency, and damping in mechanical systems.
What is the purpose of failure analysis in engineering mechanics?
A To analyze rotational motion
B To measure the speed of objects
C To determine the cause of structural failure
D To find the strength of materials
Failure analysis investigates the causes of failure in materials or structures. It identifies design flaws, material defects, and environmental factors that contribute to failure and helps improve safety and reliability.
What is the main characteristic of a rigid body in mechanics?
A It rotates under load
B It does not deform under load
C It changes shape over time
D It deforms under load
A rigid body in mechanics is an idealized object that does not deform under applied loads. This assumption simplifies the analysis of motion and equilibrium in rigid body mechanics.
Which of the following is a method to determine the center of mass of a body?
A Sum of moments / Total mass
B Sum of forces / Total mass
C Sum of distances / Total volume
D Sum of areas / Total length
The center of mass is determined by calculating the sum of the moments of individual masses divided by the total mass of the object. It is the balance point for the system’s mass distribution.
What is the role of analytical mechanics in engineering?
A To design machines
B To study the properties of fluids
C To analyze material strength
D To analyze motion and forces
Analytical mechanics uses mathematical methods to study the motion and forces acting on systems. It provides a more rigorous and generalized approach than traditional Newtonian mechanics, including methods like Lagrangian and Hamiltonian mechanics.