Physics

Physics

Problem

Questions 22-23 A simple pendulum has a period of 2 s for small amplitude oscillations. 23. Which of the following equations could represent the angle θ\theta that the pendulum makes with the vertical as a function of time tt ? (A) θ=θmax sin⁡π2t\theta=\theta_{\text {max }} \sin \frac{\pi}{2} \mathrm{t} (B) θ=θmax sin⁡πt\theta=\theta_{\text {max }} \sin \pi \mathrm{t} (C) θ=θmax ,sin⁡2πt\theta=\theta_{\text {max }}, \sin 2 \pi \mathrm{t} (D) θ=θmax sin⁡4πt\theta=\theta_{\text {max }} \sin 4 \pi \mathrm{t} (E) θ=θmax sin⁡8πt\theta=\theta_{\text {max }} \sin 8 \pi \mathrm{t} (A) θ=θmax sin⁡π2t\theta=\theta_{\text {max }} \sin \frac{\pi}{2} \mathrm{t} (B) θ=θmax sin⁡πt\theta=\theta_{\text {max }} \sin \pi \mathrm{t} (C) θ=θmax ,sin⁡2πt\theta=\theta_{\text {max }}, \sin 2 \pi \mathrm{t} (D) θ=θmax sin⁡4πt\theta=\theta_{\text {max }} \sin 4 \pi \mathrm{t} (E) θ=θmax sin⁡8πt\theta=\theta_{\text {max }} \sin 8 \pi \mathrm{t}

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