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System of Particles and Rotational Motion · Question 93

AIPMT 2000MCQMedium📈 Topic in 62% papers+4−1
1

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

Answer

(2) I2 > I1

Solution

For a uniform triangular plate, the moment of inertia about one side is Mh26, where h is the distance of the opposite vertex from that side.

About AB (h = BC = 3): I1 = 9M6 = 1.5M

About BC (h = AB = 4): I2 = 16M6 2.67M

About CA (h = AB BCCA = 125 = 2.4): I3 = (2.4)2 M6 = 0.96M

I2 > I1 > I3

Answer: (2)

AIPMT 2000

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2

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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