Question

A particle of mass 5 × 10^–5 kg is placed at the lowest point of a smooth parabola having the equation x² = 40y (x, y in cm). If it is displaced slightly and it moves such that it is constrained to move along the parabola, the angular frequency of oscillation will be, approximately –

• A. 1 s^–1
• B. 7 s^–1
• C. 5 s^–1
• D. None of these

Answer 1

Answer: (D)

None of these

Answer 2

Restoring force = F_R = – mg sin where

tanq = $\frac { d y } { d x }$ = $\frac { x } { 20 }$

\ F_R = $\frac { - \mathrm { mgx } } { 20 }$

\ F_R = – x

\ w = $\sqrt { \frac { \mathrm { g } } { 20 } }$