- 1. Analytical dynamics is a branch of mechanics that deals with the study of motion and forces in terms of differential equations. It extends the classical dynamics by incorporating the use of advanced mathematical methods, such as calculus of variations and differential geometry, to analyze the motion of complex systems. The principles of analytical dynamics are fundamental in understanding the behavior of celestial bodies, fluids, rigid bodies, and even particles at the quantum level. By formulating and solving differential equations that describe the motion and interactions of particles and systems, analytical dynamics provides a powerful framework for predicting and explaining the behavior of dynamic systems in physics and engineering.
What is the principle that states a particle will move in a straight line unless acted upon by a force?
A) Newton's First Law
B) Newton's Third Law
C) Newton's Second Law
D) Hooke's Law
- 2. Which of the following is an example of a central force?
A) Normal force
B) Frictional force
C) Tangential force
D) Gravitational force
- 3. What law states that the rate of change of momentum of an object is directly proportional to the net force acting upon it?
A) Newton's Third Law
B) Newton's Second Law
C) Law of Inertia
D) Newton's First Law
- 4. What term refers to the resistance of an object to changes in its rotational motion?
A) Angular Momentum
B) Center of Mass
C) Torque
D) Moment of Inertia
- 5. What is the rate of change of angular displacement with respect to time called?
A) Angular Velocity
B) Angular Acceleration
C) Angular Force
D) Angular Momentum
- 6. Which law states that for every action, there is an equal and opposite reaction?
A) Newton's First Law
B) Newton's Third Law
C) Newton's Second Law
D) Law of Conservation of Energy
- 7. What is a force that tends to cause an object to rotate called?
A) Torque
B) Force
C) Moment of Inertia
D) Friction
- 8. What is the quantity of matter in an object called?
A) Density
B) Weight
C) Mass
D) Volume
- 9. What is the property of an object to resist changes in its state of motion called?
A) Force
B) Weight
C) Mass
D) Inertia
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