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← IIT-JEE 2009 · Paper 2
PhysicsMultiple correct+4 / -1Question 47 of 57

IIT-JEE 2009 · Paper 2, Physics question 47

A sphere is rolling without slipping on a fixed horizontal plane surface. In the figure, A is the point of contact, B is the centre of the sphere and C is its topmost point. Then,

A sphere on a horizontal surface moving to the right and rotating clockwise; A is the contact point at the bottom, B the centre and C the topmost point.
Choose one or more options
Answer and worked solution

Official answer: B, C

Rolling. V⃗A=0\vec V_A=0, V⃗B=v⃗\vec V_B=\vec v, V⃗C=2v⃗\vec V_C=2\vec v (all horizontal).

  • (A) 2v⃗2\vec v vs 2(v⃗−2v⃗)=−2v⃗2(\vec v-2\vec v)=-2\vec v. False.
  • (B) V⃗C−V⃗B=v⃗=V⃗B−V⃗A\vec V_C-\vec V_B=\vec v=\vec V_B-\vec V_A. True.
  • (C) ∣2v⃗∣=2∣−v⃗∣|2\vec v|=2|-\vec v|. True.
  • (D) 2v≠4v2v\ne4v. False.

(B), (C)

Topics:Rolling motion
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