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System of Particles and Rotational Motion · Question 92

AIPMT 2001MCQEasy📈 Topic in 12% papers+4−1
1

A disc is rolling, the velocity of its centre of mass is vcm. Which one will be correct?

  1. the velocity of the highest point is 2vcm and of the point of contact is zero
  2. the velocity of the highest point is vcm and of the point of contact is vcm
  3. the velocity of the highest point is 2vcm and of the point of contact is vcm
  4. the velocity of the highest point is 2vcm and of the point of contact is 2vcm.

Answer

(1) the velocity of the highest point is 2vcm and of the point of contact is zero

Solution

In rolling (without slipping), vcm = R .

Velocity of a point = vcm (translation) + R (rotation about the centre).

Highest point: both in the same direction v = vcm + R = 2vcm

Point of contact: opposite directions v = vcm - R = 0

Answer: (1)

AIPMT 2001

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2

For the adjoining diagram (a uniform right-angled triangular plate ABC), the correct relation between I1, I2 and I3 is (I – moment of inertia about the marked side) [figure]

  1. I1 > I2
  2. I2 > I1
  3. I3 > I1
  4. I3 > I2
AIPMT 2000
3

For a hollow cylinder and a solid cylinder rolling without slipping on an inclined plane, then which of these reaches earlier

  1. solid cylinder
  2. hollow cylinder
  3. both simultaneously
  4. can't say anything
AIPMT 2000

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