Two particles A and B are moving as shown in the figure.
Their total angular momentum about the point O is
9.8 kg m2 / s
zero
52.7 kg m2 / s
37.9 kg m2 / s
A circular disc rolls on a horizontal floor without slipping and the centre of the disc moves with a uniform velocity v. Which of the following values of the velocity at a point on the rim of the disc can have ?
v
− v
2v
Zero
A.
v
C.
2v
D.
Zero
Consider the rolling motion of a circular disc as shown in the adjacent diagram. Velocity of
point of contact (P) is
vp = v − ωR = v − v = 0
Velocity of point S, vS = v + ωR = 2v
Velocity of centre O, vo = v − ω(0) = v
Velocity of a point T at a distance R from P is
vT = ωR = 0
Thus possible velocities are v, 2v and 0.