System of Particles and Rotational Motion - Result Question 48

51. The angular momentum of a body with mass (m), moment of inertia (I) and angular velocity (ω)rad/sec is equal to

[1996]

(a) Iω

(b) Iω2

(c) Iω

(d) Iω2

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Answer:

Correct Answer: 51. (a)

Solution:

  1. (a) Let body contain m1,m2,m3.mn masses at distance r1,r2,r3..rn from axis OA.

Angular momentum of body

=m1v1r1+m2v2r2..+mnvnrn

=m1(ωr1)r1+m2(ωr2)r2+mn(ωrn)rn

=(m1r12)ω+(m2r22)ω.+(mnrn2)ω

=(i=1nmiri2)ω=Iω



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