A simple pendulum consisting of a small bob of mass m attached to a massless inextensible string of length , hanging vertically from the ceiling, is oscillating in a vertical plane with an angular amplitude θ_m such

Correct answer: D. The angular amplitude θ_ m lies in the range (π)/(4) < θ_m < (π)/(3) No Solution

Olympiad workbook

Olympiad workbook · NSEP · Oscillations

A simple pendulum consisting of a small bob of mass m attached to a...

A simple pendulum consisting of a small bob of mass m attached to a massless inextensible string of length

\ell

, hanging vertically from the ceiling, is oscillating in a vertical plane with an angular amplitude

\theta_m

such that the maximum tension in its string is three times the minimum tension in the string i.e.,

\mathrm{T}_{\max }=3 \mathrm{~T}_{\min }

. The correct option(s) is/are

AThe maximum tension in the string is $\mathrm{T}_{\max }=\mathrm{mg} \left(3-2 \cos \$ theta_{\mathrm{m}}\right)
BThe maximum tension in the string is $T_{\max }=\frac{9}{5} m g$
CThe maximum velocity of the bob on its way is $v_{\max }=3.96 \mathrm{~ms}^{-1}$
DThe angular amplitude $\theta_{\mathrm{m}}$ lies in the range $\frac{\pi}{4} < \theta_m < \frac{\pi}{3}$

D. The angular amplitude $\theta_{\mathrm{m}}$ lies in the range $\frac{\pi}{4} < \theta_m < \frac{\pi}{3}$

No Solution