Question

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(a) A rigid body, which is free to rotate about z-axis, is made of n number of
particles, m, m,, mg
situated at perpendicular distances of r, r, rg
r respectively, from the axis of rotation.
If this body rotates about this axis, with an angular velocity w, write the
expression for the angular momentum of each of these particles.
What is the direction of these angular momenta ?
Deduce an expression for the total angular momentum (L) of the body, in terms
of the moment of inertia I, of the rigid body about its axis of rotation.
-1
(b) Two bodies of mass m, = 10 kg and m, = 2 kg, are moving with velocities of
Uz = (21 – 77 + 3k) ms and 12 = (-102 +353 - 3 k) mst, respectively.
Calculate the velocity of the centre of mass of this two body system.​

Answer 1

Answer:

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