Common Data Questions-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 -Two other points A and B are located on the line OZ at distance rA and rB from O respectively-The acceleration of point B with respect to point A is vector of magnitude

Acceleration of point B with respect to point A. a_B/A=a_B a_A nbsp; nbsp; nbsp; nbsp; nbsp; =ω^2r_B ω^2r_A nbsp; nbsp; nbsp; nbsp; ...

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Common Data Q...

Question

Common Data Questions:
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 acceleration of point B with respect to point A is vector of magnitude

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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 opposite to be direction of motion of point B.

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ω^{2} (r_{B} - r_{A})

and direction being from Z to O.

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Solution

The correct option is D $ω^{2} (r_{B} - r_{A})$ and direction being from Z to O.
Acceleration of point B with respect to point A.
$_{B / A} = {\to a}_{B} - {\to a}_{A}$
$= - -- \to ω^{2} r_{B} - - -- \to ω^{2} r_{A}$

$= ω^{2} (r_{B} - r_{A})$ in direction from Z to O.

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Similar questions

Q. 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

Q. A uniform solid disc, is performing pure rolling on a fixed horizontal surface as shown in figure.

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Q. A disc

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v

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O

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α

. Find the magnitude of the increment of the vector of the disc's angular momentum relative to the point

O^{'}

which is located in the plane of the disc's motion at the distance

l

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Q. A disc of mass

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as shown in the figure, perpendicular to its plane. A point object of mass

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Q. A rod of length

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x y

plane about the fixed point

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in the anticlockwise sense, as shown in figure, with angular velocity

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where

a = 10 {rad s}^{- 1}

and

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The correct option is D ω2(rB−rA) and direction being from Z to O.Acceleration of point B with respect to point A. −−−→aB/A=→aB−→aA =−−−→ω2rB−−−−→ω2rA =ω2(rB−rA) in direction from Z to O.

The correct option is D $ω^{2} (r_{B} - r_{A})$ and direction being from Z to O.
Acceleration of point B with respect to point A.
$_{B / A} = {\to a}_{B} - {\to a}_{A}$
$= - -- \to ω^{2} r_{B} - - -- \to ω^{2} r_{A}$

$= ω^{2} (r_{B} - r_{A})$ in direction from Z to O.