Classical Mechanics Quizzes: Master the Fundamentals of Motion

Question 1

In classical mechanics, Newton's second law of motion states that the acceleration of an object is directly proportional to which quantity?

Accepted Answer

Force acting on the object

Answer

Mass of the object

Answer

Velocity of the object

Answer

Momentum of the object

Question 2

In classical mechanics, which quantity is not conserved?

Accepted Answer

Heat

Answer

Energy

Answer

Momentum

Answer

Angular momentum

Question 3

A particle of mass m moves in a circular path of radius r. What is the direction of the force acting on the particle?

Accepted Answer

Towards the center of the circle

Answer

Tangent to the circle

Answer

Away from the center of the circle

Answer

Perpendicular to the circle

Question 4

A particle of mass 'm' moves in a circular path of radius 'r' with constant speed 'v'. In which direction does the centripetal force acting on the particle point?

Accepted Answer

Towards the center of the circle

Answer

Away from the center of the circle

Answer

Tangent to the circular path

Answer

It depends on the speed of the particle

Question 5

Which of the following is NOT a fundamental principle of classical mechanics?

Accepted Answer

The Principle of Virtual Work

Answer

Newton's First Law of Motion

Answer

Newton's Second Law of Motion

Answer

Newton's Third Law of Motion

Question 6

In classical mechanics, which of the following is NOT a conserved quantity?

Accepted Answer

Temperature

Answer

Energy

Answer

Angular momentum

Answer

Linear momentum

Question 7

A particle moves in a circular path with a constant speed. Which of the following statements about the force acting on the particle is true?

Accepted Answer

The force is always directed towards the center of the circle.

Answer

The force is always tangent to the circle.

Answer

The force is always zero.

Answer

The force is always in the direction of the particle's velocity.

Question 8

A particle of mass 'm' moves in a circle of radius 'r' with constant speed 'v'. Calculate its angular momentum.

Accepted Answer

mvr

Answer

0

Answer

2mvr

Answer

1/2 mvr

Question 9

The momentum of a system of multiple particles can be defined as:

Accepted Answer

Summation of the product of each particle's mass and velocity

Answer

Summation of the kinetic energies of all the particles

Answer

Rate of change of kinetic energy with respect to time

Answer

Area under the curve of the force-time graph

Question 10

The period of oscillation for a simple pendulum is:

Accepted Answer

Proportional to the square root of its length

Answer

Dependent on its mass

Answer

Dependent on the amplitude of its oscillation

Answer

Independent of the aforementioned factors

Question 11

The natural frequency of an oscillating system refers to the:

Accepted Answer

Frequency at which the system oscillates without external forces

Answer

Frequency at which the system resonates

Answer

Frequency at which the system is dampened

Answer

Frequency at which the system is forced to oscillate

Question 12

Which of the following is not considered a fundamental dimension in classical mechanics?

Accepted Answer

Charge

Answer

Length

Answer

Mass

Answer

Time

Question 13

The kinetic energy of an object with mass 'm' and velocity 'v' is given by which expression?

Accepted Answer

(1/2)mv^2

Answer

mv

Answer

2mv^2

Answer

1/2mv

Question 14

The SI unit of angular velocity is:

Accepted Answer

Radians per second

Answer

Metres per second

Answer

Revolutions per minute

Answer

Degrees per second

Question 15

The Lagrangian formulation of classical mechanics is based on the principle of:

Accepted Answer

Least action

Answer

Newton's laws of motion

Answer

Conservation of energy

Answer

Conservation of momentum

Question 16

A particle moves in a circular path of radius 'R' with a constant speed 'v'. What is its angular momentum about the center of the circle?

Accepted Answer

mvr

Answer

-mvr

Answer

-2mvr

Answer

2mvr

Question 17

Which of the following is NOT a conserved quantity in classical mechanics?

Accepted Answer

Position

Answer

Energy

Answer

Momentum

Answer

Angular momentum

Question 18

The work done by a force is equal to:

Accepted Answer

Force multiplied by displacement

Answer

Force multiplied by velocity

Answer

Force multiplied by acceleration

Answer

Mass multiplied by displacement

Question 19

The moment of inertia of a body about an axis is a measure of its:

Accepted Answer

Size and shape

Answer

Mass

Answer

Velocity

Answer

Acceleration

Question 20

Which of the following is NOT a characteristic of a rigid body?

Accepted Answer

Fixed mass

Answer

Fixed shape

Answer

Fixed size

Answer

Fixed centre of mass

Question 21

The Lagrangian of a system is a function of:

Accepted Answer

Position, velocity, and time

Answer

Momentum, energy, and time

Answer

Force, displacement, and time

Answer

Mass, velocity, and time

Question 22

Classical mechanics is based on the assumption that:

Accepted Answer

The universe is deterministic

Answer

The universe is probabilistic

Answer

The universe is chaotic

Answer

The universe is random

Question 23

According to Newton's Second Law, the acceleration of an object is directly proportional to the:

Accepted Answer

Mass of the object and the force acting on it

Answer

Force acting on it

Answer

Mass of the object

Answer

Velocity of the object

Question 24

An object moving with constant velocity has:

Accepted Answer

Zero acceleration and constant speed

Answer

Non-zero acceleration and constant speed

Answer

Constant acceleration and non-zero speed

Answer

Non-zero acceleration and non-zero speed

Question 25

The total mechanical energy of a system is conserved when:

Accepted Answer

No external forces act on the system

Answer

The system is in equilibrium

Answer

The system is isolated

Answer

The system is in a uniform gravitational field

Question 26

The potential energy of a conservative force is a:

Accepted Answer

Path-independent function of position

Answer

Path-dependent function of position

Answer

Function of velocity

Answer

Function of acceleration

Question 27

Work done by a force on an object is:

Accepted Answer

Force multiplied by displacement in the direction of the force

Answer

Force multiplied by displacement perpendicular to the force

Answer

Force multiplied by the velocity

Answer

Force multiplied by the acceleration

Question 28

The moment of inertia of a rigid body is a measure of its:

Accepted Answer

Resistance to rotational motion

Answer

Linear momentum

Answer

Angular momentum

Answer

Kinetic energy

Question 29

In a damped harmonic oscillator, which statement accurately describes the system's energy and power dynamics?

Accepted Answer

Power input equals power dissipated at steady state.

Answer

Total mechanical energy remains constant.

Answer

Maximum kinetic energy occurs at equilibrium.

Answer

Oscillation frequency remains constant despite damping.

Question 30

When a conservative force acts on an object, the work done by the force depends on:

Accepted Answer

The initial and final positions of the object

Answer

The path taken by the object

Answer

The speed of the object

Answer

The mass of the object

Question 31

An object of mass m is moving with velocity v. What is its kinetic energy?

Accepted Answer

1/2 * m * v^2

Answer

m * v^2

Answer

1/2 * m * v

Answer

m * v

Question 32

Which of the following is conserved in the absence of external forces?

Accepted Answer

Momentum

Answer

Kinetic energy

Answer

Angular velocity

Answer

Potential energy

Question 33

A harmonic oscillator is characterized by:

Accepted Answer

Simple harmonic motion.

Answer

Brownian motion.

Answer

Chaotic motion.

Question 34

A rigid body is in equilibrium if:

Accepted Answer

The net force and net torque acting on it are both zero.

Answer

The net torque acting on it is zero.

Answer

The net force acting on it is zero.

Question 35

The kinetic energy of a particle of mass 'm' moving with a velocity 'v' is given by:

Accepted Answer

1/2 * m * v^2

Answer

m * v / 2

Answer

2 * m * v^2 / 3

Answer

1/2 * v^2 / m

Question 36

The linear momentum of a body of mass 'M' moving with a velocity 'v' is:

Accepted Answer

M * v

Answer

M / v

Answer

M * v^2

Answer

v / M

Question 37

The angular momentum of a point mass 'm' about a point 'O' at a distance 'r' is:

Accepted Answer

m * v * r

Answer

v * r / m

Answer

m * v / r

Answer

m * r / v

Question 38

According to Newton's third law of motion:

Accepted Answer

For every action, there is an equal and opposite reaction.

Answer

The force acting on an object is proportional to its acceleration.

Answer

The work done on an object is equal to the change in its kinetic energy.

Answer

The momentum of an isolated system is conserved.

Question 39

A ball is thrown vertically upwards with a velocity 'v'. The maximum height reached by the ball will be:

Accepted Answer

v^2 / (2 * g)

Answer

v / g

Answer

2 * g / v

Answer

g / v

Question 40

The moment of inertia of a rigid body about an axis of rotation is a measure of its:

Accepted Answer

Resistance to angular acceleration

Answer

Kinetic energy

Answer

Angular momentum

Answer

Linear momentum

Question 41

The condition for equilibrium of a rigid body is that the net force and the net torque acting on it must be:

Accepted Answer

Both zero

Answer

Equal

Answer

Opposite

Answer

Proportional

Question 42

Which of the following is NOT a Newton's law of motion?

Accepted Answer

The law of conservation of energy

Answer

The law of inertia

Answer

The law of action and reaction

Answer

The law of acceleration

Question 43

Which of the following forces is conservative?

Accepted Answer

Gravitational force

Answer

Viscous force

Answer

Tension force

Answer

Frictional force

Question 44

The work done by a force on an object is given by:

Accepted Answer

The scalar product of the force and the displacement

Answer

The dot product of the force and the velocity

Answer

The cross product of the force and the displacement

Question 45

Which of the following is a Hamiltonian system?

Accepted Answer

A system with a conserved total energy

Answer

A system with a conserved angular momentum

Answer

A system with a conserved momentum

Question 46

Which of the following is a chaotic system?

Accepted Answer

A system with a sensitive dependence on initial conditions

Answer

A system with a conserved energy

Answer

A system with a conserved momentum

Question 47

Which of Newton's laws describes the conservation of momentum?

Accepted Answer

Third Law

Answer

Second Law

Answer

Law of Universal Gravitation

Answer

First Law

Question 48

The moment of inertia of a rigid body depends on:

Accepted Answer

Mass, shape, and axis of rotation

Answer

Mass and axis of rotation only

Answer

Shape and axis of rotation only

Answer

Mass and shape only

Question 49

Hamilton's principle states that the actual path taken by a system between two points is the one that:

Accepted Answer

Makes the action integral stationary

Answer

Minimizes the potential energy

Answer

Conserves angular momentum

Answer

Maximizes the kinetic energy

Question 50

The period of oscillation for a simple pendulum is directly proportional to:

Accepted Answer

Square root of its length

Answer

Its mass

Answer

Its amplitude

Answer

Its initial velocity

Question 51

Which of the following is a defining characteristic of chaotic systems?

Accepted Answer

Sensitive dependence on initial conditions

Answer

Linearity

Answer

Predictability

Answer

Reversibility

Question 52

According to the principle of conservation of energy in a closed system, which of the following remains constant?

Accepted Answer

Total energy

Answer

Kinetic energy

Answer

Total momentum

Answer

Potential energy

Question 53

As per Newton's second law, the acceleration of an object is directly proportional to:

Accepted Answer

Force acting on the object

Answer

Mass of the object

Answer

Displacement of the object

Answer

Velocity of the object

Question 54

In an isolated system, which physical quantity remains conserved?

Accepted Answer

Total energy

Answer

Total force

Answer

Total angular momentum

Answer

Total momentum

Question 55

The moment of inertia of a rigid body measures its:

Accepted Answer

Resistance to angular acceleration

Answer

Angular velocity

Answer

Linear momentum

Question 56

Which condition is NOT necessary for a rigid body to be in equilibrium?

Accepted Answer

Non-zero net force acting on the body

Answer

Body is either at rest or moving with constant velocity

Answer

Equal and opposite resultant force and torque

Answer

Zero net torque acting on the body

Question 57

A defining characteristic of a conservative force field is:

Accepted Answer

Work done is independent of the path taken

Answer

Force is constant in magnitude

Answer

Force is always in the direction of motion

Question 58

The Hamiltonian of a system is defined as the:

Accepted Answer

Total mechanical energy

Answer

Difference between kinetic and potential energies

Answer

Total potential energy

Answer

Total kinetic energy

Question 59

Which of the following is used to solve differential equations describing classical mechanical systems and provides a systematic approach to derive equations of motion based on the principle of least action?

Accepted Answer

Lagrange's equations of motion

Answer

Maxwell's equations

Answer

Newton's laws of motion

Answer

Poisson's equations

Question 60

According to Newton's second law of motion, the acceleration of an object is directly proportional to the:

Accepted Answer

Net force acting on the object

Answer

Object's velocity

Answer

Mass of the object

Answer

Time taken for the motion

Question 61

Which of the following forces is conservative?

Accepted Answer

Gravitational force

Answer

Tension force

Answer

Frictional force

Answer

Normal force

Question 62

The work done by a force over a displacement is mathematically given by the:

Accepted Answer

Dot product of force and displacement vectors

Answer

Cosine of the angle between force and displacement vectors

Answer

Sine of the angle between force and displacement vectors

Answer

Scalar multiplication of force and displacement magnitudes

Question 63

Which of the following is a condition for an object to be in static equilibrium?

Accepted Answer

Net force and net torque acting on the object are both zero

Answer

Net force acting on the object is non-zero

Answer

Object is moving with constant velocity

Answer

Object is accelerating

Question 64

The moment of inertia of a rigid body about an axis is a measure of its:

Accepted Answer

Rotational inertia or resistance to changes in angular velocity

Answer

Gravitational potential energy

Answer

Kinetic energy

Answer

Linear momentum