The radius of gyration of a body about an axis at a distance of 6 cm from its centre of mass is 10 cm. Then, its radius of gyration about a parallel axis through its centre of mass will be

Question

The radius of gyration of a body about an axis at a distance of 6 cm from its centre of mass is 10 cm. Then, its radius of gyration about a parallel axis through its centre of mass will be (A) 800 cm (B) 8 cm (C) 0.8 cm (D) 80 m

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/38ae1c4dbd6102fef3cc1961332d045b-.png" /> TA B=I CM +M h2 M KAB2=M K CM 2+M h2 KA B2=K CM 2+h2 Given, KA B=10 cm, h=6 cm Putting them, we get K CM =8 cm

Q. The radius of gyration of a body about an axis at a distance of $6 c m$ from its centre of mass is $10 c m$ . Then, its radius of gyration about a parallel axis through its centre of mass will be

800 cm

8 cm

0.8 cm

80 m

$T_{A B} = I_{CM} + M h^{2}$
$M K_{A B}^{2} = M K_{CM}^{2} + M h^{2}$
$K_{A B}^{2} = K_{CM}^{2} + h^{2}$
Given, $K_{A B} = 10 c m, h = 6 c m$
Putting them, we get
$K_{CM} = 8 c m$

Q. The radius of gyration of a body about an axis at a distance of 6cm from its centre of mass is 10cm. Then, its radius of gyration about a parallel axis through its centre of mass will be