Physics

Physics

Problem

A student writes the following steps while deriving the equation of motion of a simple pendulum. (i) Restoring force: Ft=−mgsin⁡θF_t = -mg\sin\theta (ii) For small θ\theta, replace sin⁡θ\sin\theta by θ\theta (iii) Therefore Ft=−mgθF_t = -mg\theta (iv) Using s=Lθs = L\theta, writes Ft=−mgLF_t = -mgL Which step FIRST introduces an error in the derivation? a) Step (iii) b) Step (i) c) Step (iv) d) Step (ii)

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