Flag Mechanics> Consider a circular disc of mass M and ra...
question mark

Consider a circular disc of mass M and radius R rotating about it's centre with angular velocity w(Omega). Calculate the angular momentum of the disc about a point P situated at a distance R/2 from the center.

xxx , 5 Years ago
Grade
anser 1 Answers
Suresh Sonkar

Last Activity: 5 Years ago

Given circular disc of radius R and mass M, rotating with angular velocity ω about its centre.
Moment of inertia (I) about an axis passing through the centre (centre of mass) of the disc and perpendicular to the plane of the disc
Icm = MR2/2
Now using parallel axis theorem:
 Moment of inertia about a point P (Ip):
Ip = Icm + Md2  =  MR2/2 + M (R/2)2  = 3/4MR2
(Here d is given R/2 and Icm = MR2/2)
Angular momentum (L) about an axis passing through point P and perpendicular to the disc
 = Ipω = 3/4MR2 ω

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...