System of Particles and Rotational Motion - Result Question 14

14. A wheel of radius 1m rolls forward half a revolution on a horizontal ground. The magnitude of the displacement of the point of the wheel initially in contact with the ground is

[2002]

(a) π

(b) 2π

(c) 2π

(d) π2+4

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Answer:

Correct Answer: 14. (d)

Solution:

  1. (d)

Linear distance moved by wheel in half revolution =πr. Point P1 after half revolution reaches at P2 vertically 2m above the ground.

∴ Displacement P1P2

=π2r2+22=π2+4[∵r=1m]

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