Question

A particle of mass m is allowed to oscillate near the minimum point of a vertical parabolic path having the equation x² = 4ay, then the angular frequency of small oscillations of particle is –

• A. $\sqrt { \mathrm { ga } }$
• B.
• C.
• D.

Answer 1

Answer: (D)

Answer 2

ma = – mg sin q

a = – g sin q or a = – g tan q … (1)

(as q is small)

Now,

x² = 4ay

\

\ a = – g

– w²x = –

w =