5 particles,each of mass 2 kg,are attached t | vedclass

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

Question

(B) Since the mass of the disc is negligible,the moment of inertia of the system is determined solely by the five particles attached to the rim.Each p

Vedclass · Accepted Answer

$0.1$

Vedclass · Answer

(B) Since the mass of the disc is negligible,the moment of inertia of the system is determined solely by the five particles attached to the rim.Each particle has a mass $m = 2 \ kg$ and is at a distance $r = 0.1 \ m$ from the axis of rotation.The moment of inertia $I$ for a system of particles is given by $I = \sum m_i r_i^2$.Since all $5$ particles are at the same distance $r$ from the center,$I = 5 	imes m 	imes r^2$.Substituting the values: $I = 5 	imes 2 	imes (0.1)^2 = 10 	imes 0.01 = 0.1 \ kg \cdot m^2$.

$5$ particles,each of mass $2 \ kg$,are attached to the rim of a circular disc of radius $0.1 \ m$ and negligible mass. The moment of inertia of this system about an axis passing through the center and perpendicular to its plane is ........... $kg \cdot m^{2}$.

Similar Questions

Two circular discs of iron have the same thickness. The diameter of disc $A$ is twice that of disc $B$. The moment of inertia of $A$ will be ........ times that of $B$.

The radius of gyration of a rod of length $L$ and mass $M$ about an axis perpendicular to its length and passing through a point at a distance $L/3$ from one of its ends,is :-

In the diagram shown below,all three rods are of equal length $L$ and equal mass $M$. The system is rotated such that rod $B$ is the axis. What is the moment of inertia of the system?

$A$ person is sitting on a rotating table with their arms outstretched. If they suddenly pull their arms inward,then:

Two uniform circular discs having the same mass and the same thickness but different radii are made from different materials. The disc with the smaller rotational inertia is

Vedclass Test Series

Exam Paper Generator

Online Exam Module