Home
Class 12
PHYSICS
Consider the figure here. A particle of ...

Consider the figure here. A particle of mass m is contrained to move inside a smooth vertical groove of radius R and is connected to a light spring of spring constant K in equilibrium. O is centre of the groove. X and y are horizontal and vertical axes respectively. Different physical parameters are related as `2KR=7mg`. Angular frequecny of the oscillations, if the particle is slightly displaced from the shown equilibrium position is

A

`sqrt((g)/(R))`

B

`sqrt((g)/(2R))`

C

`2sqrt((g)/(R))`

D

`sqrt((2g)/(R))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

A particle of mass 'm' is moving in horizontal circle inside a smooth inverted fixed vertical cone above height 'h' from apex. Angle of cone is theta , then

A particle of mass m oscillates inside a smooth spherical shell of radius R and starts its motion from point B . At given instant the kinetic energy of the particle is K . Then the force applied by particle on the shell at this instant is :-

A ring of mass m can slide over a smooth vertical rod. The ring is connected to a spring of force constant K=(4mg)/R where 2R is the natural length of the spring. The other end spring is fixed to the ground at a horizontal distance 2R from the base of the rod. the mass is released at a height of 1.5 R from ground.

A ring of mass m can slide over a smooth vertical rod. The ring is connected to a spring of force constant K=(4mg)/R where 2R is the natural length of the spring. The other end spring is fixed to the ground at a horizontal distance 2R from the base of the rod. the mass is released at a height of 1.5 R from ground.

Two blocks, of masses M and 2 M , are connected to a light spring of spring constant K that has one end fixed, as shown in figure. The horizontal surface and the pulley are frictionless. The blocks are released from when the spring is non deformed. The string is light. .

Two blocks, of masses M and 2 M , are connected to a light spring of spring constant K that has one end fixed, as shown in figure. The horizontal surface and the pulley are frictionless. The blocks are released from when the spring is non deformed. The string is light. .

A ring of mass m can slide over a smooth vertical rod as shown in figure. The ring is connected to a spring of force constant k = 4 mg//R , where 2R is the natural length of the spring . The other end of spring is fixed to the ground at a horizontal distance 2R from base of the rod . If the mass is released at a height 1.5 J then the velocity of the ring as it reaches the ground is

A block of mass m connected with a smooth prismatic wedge of mass M is released from rest when the spring is relaxed. Find the angular frequency of oscillation.

A particle of mass m is thrown horizontally from the top of a tower and anoher particle of mass 2m is thrown vertically upward. The acceleration of centre of mass is

A particle of mass m is thrown horizontally from the top of a tower and anoher particle of mass 2m is thrown vertically upward. The acceleration of centre of mass is