A pendulum of mass 'm' having string of length ' $ℓ$ ' is released from rest from point 'A' as shown in figure. Find out $\frac{( a _{net} ) _{A}}{( a _{net} ) _{B}}$ . (Here 'a' refers to acceleration)

Question

A pendulum of mass 'm' having string of length ' ℓ ' is released from rest from point 'A' as shown in figure. Find out ( a net ​ ) B ​ ( a net ​ ) A ​ ​ . (Here 'a' refers to acceleration)

TestHub · Accepted Answer

At A (released from rest): only tangential acceleration, $(a_{n e t})_{A} = g sin θ = \frac{4 g}{5}$

At B (bottom): $\frac{v ^{2}}{ℓ} = 2 g (1 - cos θ) = \frac{4 g}{5}$ , purely centripetal

Ratio = 1 : 1

Answer (D)

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