MOMENT OF INERTIA

Question 1

A solid sphere of mass 4 kg and radius 0.3m rotates about an axis through its center. What is its moment of inertia?

Answer 1

I = 𝟎.𝟏𝟒𝟒 𝒌𝒈𝒎^𝟐

Question 2

A uniform thin rod of length 2m and mass 5 kg is rotated about an axis perpendicular to the rod and passing through one of its ends. Find the moment of inertia of the rod about this axis.

Answer 2

I = 𝟔.𝟔𝟕𝒌𝒈𝒎^𝟐

Question 3

A cylindrical shell of mass 10kg and radius 0.5m rotates about its central axis. Calculate its moment of inertia.

Answer 3

I = 2.5𝒌𝒈𝒎^𝟐

Question 4

A body rotates around a fixed axis outside the body.

Answer 4

Circular motion

Question 5

The body’s rotating axes are inside the body.

Answer 5

Rotational motion

Question 6

refers to the angle at which an object is oriented relative to a reference direction or point. It is a measure of how far an object has rotated or moved around a circular path compared to a defined starting position.

Answer 6

Angular position

Question 7

is a measure of how quickly an object rotates or revolves around a central point or axis. It describes the rate at which the angular position of an object changes over time

Answer 7

Angular velocity

Question 8

is a measure of how quickly the angular velocity of an object changes over time. It describes the rate at which an object speeds up or slows down its rotational motion.

Answer 8

Angular acceleration

Question 9

A disk with moment of inertia I = 2kg𝑚^2 is subjected to a constant torque of 𝜏=4𝑁𝑚. What is the angular acceleration of the disk?

Answer 9

2 rad/𝒔^𝟐

Question 10

A flywheel with a moment of inertia of I = 5kg𝒎^𝟐 is subjected to a constant torque of 10Nm. It starts from rest and the torque is applied for 4s. What is the final angular velocity of the flywheel after 4s?

Answer 10

8 rad/𝒔