Common Data Questions Q-1-2 and Q-1-3The circular disc shown in its plan view in the figure rotates in a plane parallel to the horizontal plane about the point O at a uniform angular velocity -Two other points A and B are located on the line OZ at distance rA and rB from O respectively-The velocity of point B with respect to point A is a vector of magnitude

Linear velocities of A and B are ω r_A and ω r_B respectively. ∵ nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; r_B gt;r_A ∴ nbsp; nbsp; nbsp; ...

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Standard XII

Physics

Streamline Flow

Common Data Q...

Question

Common Data Questions Q.1.2 and Q.1.3
The circular disc shown in its plan view in the figure rotates in a plane parallel to the horizontal plane about the point O at a uniform angular velocity $ω$ .Two other points A and B are located on the line OZ at distance $r_{A}$ and $r_{B}$ from O respectively.

The velocity of point B with respect to point A is a vector of magnitude

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ω (r_{B} - r_{A})

and direction opposite to the direction of motion of point B

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ω (r_{B} - r_{A})

and direction same as the direction of motion of point B.

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ω (r_{B} - r_{A})

and direction being from O to Z.

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Solution

The correct option is C $ω (r_{B} - r_{A})$ and direction same as the direction of motion of point B.
Linear velocities of A and B are $ω r_{A} and ω r_{B}$ respectively.
$∵$ $r_{B} > r_{A}$
$∴$ $ω r_{B} > ω r_{A}$
Velocity of B with respect to A
$({\to V}_{B / A}) = - - \to ω r_{B} - - - \to ω r_{A}$
$ω (r_{B} - r_{B})$ in the direction of motion of point B.

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The correct option is C ω(rB−rA) and direction same as the direction of motion of point B.Linear velocities of A and B are ωrAand ωrB respectively. ∵ rB>rA ∴ ωrB>ωrA Velocity of B with respect to A (→VB/A)=−−→ωrB−−−→ωrA ω(rB−rB) in the direction of motion of point B.