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One end of string of length 1m is tied to a body of mass 0.5 kg. It is whirled in a vertical circle as shown in figure. If the angular frequency of the body is 4rad/sec.
Match the column I with column II and mark the correct option from the given codes
Column I Column II
A) Tension at the lower most point B P) 12.5 N
B) Tension at the top most point A Q) 13 N
C) Tension at point C R) 8 N
D) Tension at point D S) 3 N

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$A \to P; B \to Q; C \to R; D \to S$

$A \to Q; B \to S; C \to R; D \to R$

$A \to Q; B \to R; C \to P; D \to S$

$A \to Q; B \to R; C \to S; D \to S$

answer is A.

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Detailed Solution

Tension in the string $T = \frac{m v^{2}}{r} + m g \cos θ$

At lowest point $T_{B} = \frac{m v_{B}^{2}}{r} + m g$

At highest point $T_{A} = \frac{m v_{A}^{2}}{r} - m g$

At point C and D T = $\frac{m v_{}^{2}}{r}$

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