In the given figure,about which axis will the | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The moment of inertia $I$ of a body about an axis is given by $I = \sum m_i r_i^2$,where $r_i$ is the perpendicular distance of the mass element $

Vedclass · Accepted Answer

$AB$

Vedclass · Answer

(A) The moment of inertia $I$ of a body about an axis is given by $I = \sum m_i r_i^2$,where $r_i$ is the perpendicular distance of the mass element $m_i$ from the axis of rotation.For a given mass distribution,the moment of inertia is larger if the mass is distributed farther from the axis of rotation.In the given triangular frame,the axis $AC$ is the longest side (hypotenuse). When rotating about $AC$,the mass of the frame is,on average,closer to the axis compared to the other two sides.Conversely,the axis $AB$ is the shortest side. When rotating about $AB$,the mass of the frame (specifically the side $BC$) is distributed at a larger average distance from the axis $AB$.Since $AB Therefore,the moment of inertia is maximum about the axis $AB$.

In the given figure,about which axis will the moment of inertia of the triangular frame be maximum? [Given: $AB < BC < AC$]

Similar Questions

What is the $SI$ unit of the radius of gyration?

$A$ thin uniform wire of mass $m$ and linear density $\rho$ is bent in the form of a circular ring. The moment of inertia of the ring about a tangent parallel to its diameter is

The mass per unit area of a circular disc of radius $a$ depends on the distance $r$ from its centre as $\sigma(r) = A + Br$. The moment of inertia of the disc about the axis perpendicular to the plane and passing through its centre is

If a wheel rotating with a constant angular speed experiences a break during its motion,what happens to its radius of gyration?

The analogue of mass in rotational motion is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module