A coin of radius b and mass M rolls on a horizontal surface at speed V. If the plane of the coin is vertical the coin rolls in a straight line. If the plane is tilted, the path of the coin is a circle of radius R. Find the expression for the tilt angle of the coin
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A disc of mass M and radius R is rolling with angular speed ω on a horizontal plane as shown in figure. The magnitude of angular momentum of the disc about the origin O is:
Explanation:
v=Rw (pure rolling)
Angular momentum about origin O, L
O
=MvR+I
O
w
L
O
=M(Rw)R+
2
1
MR
2
w
L
O
=
2
3
MR
2
w
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