Two simple pendulums having lengths l₁ and l₂ with negligible string mass undergo angular displacements θ₁ and…

Question

Two simple pendulums having lengths $$l_{1}$$ and $$l_{2}$$ with negligible string mass undergo angular displacements $$	heta_{1}$$ and $$	heta_{2}$$, from their mean positions, respectively. If the angular accelerations of both pendulums are same, then which expression is correct?

Accepted Answer

D. $$	heta_{1} l_{2}=	heta_{2} l_{1}$$

Answer

A. $$	heta_{1} l_{2}^{2}=	heta_{2} l_{1}^{2}$$

Answer

B. $$	heta_{1} l_{1}=	heta_{2} l_{2}$$

Answer

C. $$	heta_{1} l_{1}^{2}=	heta_{2} l_{2}^{2}$$

Answer & step-by-step solution

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