A solid cylinder of mass 20 kg has length 1 m and radius 0.2 m. Then its moment of inertia in

step 1 So the question says a solid cylinder of mass 20 kg. This is mass 20. A solid cylinder of mass 2

A solid cylinder of mass 20 kg has length 1 m and radius...

A solid cylinder of mass $20 \mathrm{~kg}$ has length $1 \mathrm{~m}$ and radius $0.2 \mathrm{~m}$. Then its moment of inertia in $\mathrm{kg} \mathrm{m}^{2}$ about its geometrical axis is $[$ Kerala CET 2005]
(a) $0.8$
(b) $0.4$
(c) $0.2$
(d) $20.4$

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Moment of Inertia

The moment of inertia is a measure of an object's resistance to angular acceleration about a given axis. It depends on the distribution of the object's mass relative to the axis and is calculated through integration over the mass distribution, making it a central quantity in rotational dynamics.

Solid Cylinder

A solid cylinder is a three-dimensional object with uniform mass distribution and a circular cross-section. Its moment of inertia about the geometrical (central) axis is derived from integrating contributions of mass elements at various distances from this axis, yielding the formula I = (1/2) M R².

Rotational Dynamics

Rotational dynamics is the area of mechanics that deals with the rotation of bodies. It involves quantities such as moment of inertia, torque, and angular acceleration, and draws parallels to linear dynamics by connecting how rotational motion responds to applied forces (torque) and how this is influenced by the object's moment of inertia.

Transcript

Please give Ace some feedback