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Two blocks $A$ and $B$ of masses $1 kg$ and $3 kg$ are attached with two massless strings as shown in figure. The system is kept over a smooth table and it is rotated about the axis shown in figure with constant angular speed $ω = 2 rad / s$ .
Find direction and magnitude of centrifugal force on $A$ as observed by $B$

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$8 N$

$5 N$

$2 N$

$18 N$

answer is A.

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Detailed Solution

Acceleration of $B$ ,

$a_{B} = r_{B} ω^{2} = (2) (2)^{2} = 8 m / s^{2}$

(towards centre)

Mass of A $m_{A} = 1 kg .$

$∴$ Centrifugal force (or pseudo force) on $A$ ,

$F_{A} = m_{A} a_{B} = (1) (8) = 8 N$

Direction of this force is in the opposite direction of $a_{B}$ . Therefore, direction of $F_{A}$ is radially outwards.

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