SATHEE: Rotation 1 Question 8

Rotation 1 Question 8

11. Seven identical circular planar discs, each of mass $M$ and radius $R$ are welded symmetrically as shown in the figure. The moment of inertia of the arrangement about an axis normal to the plane and passing through the point $P$ is

(2018 Main)

(a) $\frac{181}{2} M R^{2}$

(b) $\frac{19}{2} M R^{2}$

(d) $\frac{73}{2} M R^{2}$

Show Answer

Answer:

Correct Answer: 11. (a)

Solution:

From theorem of parallel axis,

$\begin{aligned} I = I_{c m} + 7 M (3 R)^{2} \\ = \frac{M R^{2}}{2} + 6 \times \frac{M R^{2}}{2} + M (2 R)^{2} + 7 M (3 R)^{2} = \frac{181 M R^{2}}{2} \end{aligned}$

Rotation 1 Question 8

11. Seven identical circular planar discs, each of mass $M$ and radius $R$ are welded symmetrically as shown in the figure. The moment of inertia of the arrangement about an axis normal to the plane and passing through the point $P$ is

Answer:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

Rotation 1 Question 8

11. Seven identical circular planar discs, each of mass M and radius R are welded symmetrically as shown in the figure. The moment of inertia of the arrangement about an axis normal to the plane and passing through the point P is

Answer:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

Menu

11. Seven identical circular planar discs, each of mass $M$ and radius $R$ are welded symmetrically as shown in the figure. The moment of inertia of the arrangement about an axis normal to the plane and passing through the point $P$ is