Master Rigid Body Dynamics: Online Quizzes and Learning Resources

Question 1

The work done by a force acting on a rigid body is calculated using the formula:

Accepted Answer

W = F * d * cos(theta)

Answer

W = F * d * sin(theta)

Answer

W = F * d * tan(theta)

Answer

W = F * d * cot(theta)

Question 2

For a rigid body in pure rotation about a fixed axis, the angular acceleration is:

Accepted Answer

Constant

Answer

Zero

Answer

Variable

Answer

Unpredictable

Question 3

The impulse experienced by a rigid body is equivalent to its:

Accepted Answer

Change in momentum

Answer

Force acting on the body

Answer

Work done on the body

Answer

Kinetic energy of the body

Question 4

Flywheels are primarily used for:

Accepted Answer

Energy storage

Answer

Vibration reduction

Answer

Power transmission

Answer

Speed control

Question 5

Which type of constraint is NOT applicable to a rigid body?

Accepted Answer

Dynamic

Answer

Translational

Answer

Rotational

Answer

Kinematic

Question 6

The moment of inertia of a body is an indicator of its:

Accepted Answer

Resistance to angular acceleration

Answer

Resistance to linear acceleration

Answer

Ability to store energy

Answer

Mass distribution

Question 7

Which of the following expressions correctly represents the kinetic energy of a rigid body rotating about a fixed axis with angular velocity ω and angular acceleration α?

Accepted Answer

1/2 I ω^2

Answer

1/2 I α^2

Answer

I ω α

Answer

I (ω^2 + α^2)

Question 8

For a rigid body undergoing pure translation, the work done on the body is:

Accepted Answer

Equal to the change in translational kinetic energy

Answer

Equal to the change in rotational kinetic energy

Answer

Zero

Answer

Equal to the sum of translational and rotational kinetic energies

Question 9

Which of the following is NOT a conservation law in rigid body mechanics?

Accepted Answer

Conservation of area

Answer

Conservation of linear momentum

Answer

Conservation of angular momentum

Answer

Conservation of energy

Question 10

Which of the following conditions is necessary for equilibrium of a rigid body?

Accepted Answer

The net force and net torque acting on the body are both zero

Answer

The net force acting on the body is zero

Answer

The net torque acting on the body is zero

Answer

The body is stationary

Question 11

State whether the following statement is true or false: The principle of conservation of energy states that the total energy of a closed system remains constant.

Accepted Answer

True

Answer

False

Question 12

The work done on a rigid body by a force is equal to the change in its kinetic energy.

Accepted Answer

True

Answer

False

Question 13

State whether the following statement is true or false: The angular acceleration of a rigid body is directly proportional to the net torque acting on it.

Accepted Answer

True

Answer

False

Question 14

In engineering mechanics, what is the practical significance of Euler's equations of motion? Give an example of their application in an engineering system.

Accepted Answer

Euler's equations describe the relationship between forces and moments acting on a rigid body and its resulting angular velocities and accelerations.

Accepted Answer

Euler's equations are commonly used in the design and analysis of rotating machinery, such as turbines and gyroscopes.

Answer

Euler's equations are applicable only to rigid bodies with constant mass.

Question 15

A rigid body, initially stationary, is subjected to a constant force F. Newton's second law of motion states that the resulting motion of the body will be:

Accepted Answer

Constant acceleration in the direction of the force

Answer

No motion at all

Answer

An initial deceleration followed by a constant velocity

Answer

Constant deceleration in the direction opposite to the force

Question 16

A flywheel with a radius of 0.5 m is rotating at a constant angular speed of 100 rad/s. The linear velocity of a point on the rim of the flywheel is:

Accepted Answer

50 m/s

Answer

25 m/s

Answer

100 m/s

Answer

75 m/s

Question 17

In a system involving rigid body dynamics, which of the following quantities remains constant according to the law of conservation of angular momentum?

Accepted Answer

Angular momentum

Answer

Kinetic energy

Answer

Linear momentum

Answer

Rotational kinetic energy

Question 18

In the context of rigid body dynamics involving combined translational and rotational motion, the quantity that represents the total energy of the system is:

Accepted Answer

Total mechanical energy

Answer

Potential energy

Answer

Rotational kinetic energy

Answer

Translational kinetic energy

Question 19

In pure rotational motion of a rigid body, the quantity that remains constant throughout the motion is:

Accepted Answer

Angular velocity

Answer

Linear velocity

Answer

Acceleration

Answer

Momentum