Home
Class 12
PHYSICS
A particle of mass m is allowed to oscia...

A particle of mass m is allowed to osciallate near the minimum of a verical parabolic surface having the equation `x^(2) = 4 ay`. The angular frequency of small oscillation is given by

A

`sqrt((8g)/(a))`

B

`sqrt((2g)/(a))`

C

`sqrt((g)/(a))`

D

`sqrt((g)/(2a))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

A particle of mass m is allowed to oscillate near the minimum of a vertical parabolic path having the equaiton x^(2) =4ay . The angular frequency of small oscillation is given by

A point mass m is displaced slightly from point O and released. It is constrained to move along parabolic path having equation x^(2)=ky then its angular frequency of oscillation is :

A simple harmonic motion is represented by x(t) = sin^2 omegat - 2 cos^(2) omegat . The angular frequency of oscillation is given by

A particle of mass m moves in a one dimensional potential energy U(x)=-ax^2+bx^4 , where a and b are positive constant. The angular frequency of small oscillation about the minima of the potential energy is equal to

The equation of a damped simple harmonic motion is m(d^2x)/(dt^2)+b(dx)/(dt)+kx=0 . Then the angular frequency of oscillation is

A disc of mass M = 4 kg, radius R = 1 m is attached with two blocks A and B of masses 1 kg and 2 kg respectively on rim and is resting on a horizontal surface as shown in the figure. Find angular frequency of small oscillation of arrangement:

A bead of mass m is located on a parabolic wire with its axis vertical and vertex at the origin as shown in figure and whose equastion is x^(2) =4ay . The wire frame is fixed and the bead is released from the point y=4a on the wire frame from rest. The tangential acceleration of the bead when it reaches the position given by y=a is

A bead of mass m is located on a parabolic wire with its axis vertical and vertex at the origin as shown in figure and whose equastion is x^(2) =4ay . The wire frame is fixed and the bead is released from the point y=4a on the wire frame from rest. The tangential acceleration of the bead when it reaches the position given by y=a is

A particle is attached to a vertical spring and is pulled down a distance 4 cm below its equilibrium and is released from rest. The initial upward acceleration is 0.5ms^(-2) . The angular frequency of oscillation is

A disk of mass m is connected to two springs of stiffness k_(1) and k_(2) as shown in the figure. Find the angular frequency of the system for small oscillation. Disc can roll on the surface without slipping