Home
Class 12
PHYSICS
The time period of small oscillations of...

The time period of small oscillations of mass `m` :-

A

`2pisqrt((m)/(6k))`

B

`2pisqrt((11m)/(6K))`

C

`2pisqrt((6m)/(11K))`

D

`2pisqrt((m)/(K))`

Text Solution

Verified by Experts

The correct Answer is:
B
Equivalent spring constant `(1)/(K_(eq)) = (1)/(3K) + (1)/(2K) + (1)/(K) rArr K_(eq) = (6K)/(11) :. T 2pisqrt((m)/(K_(eq))) = 2pisqrt((11m)/(6K))`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    ALLEN|Exercise SOME WORKED OUT EXAMPLES|29 Videos

  • SIMPLE HARMONIC MOTION

    ALLEN|Exercise Exercise-01|117 Videos

  • RACE

    ALLEN|Exercise Basic Maths (Wave Motion & Dopplers Effect) (Stationary waves & doppler effect, beats)|24 Videos

  • TEST PAPER

    ALLEN|Exercise PHYSICS|4 Videos

Similar Questions

Explore conceptually related problems

A light pulley is suspended at the lower end of a spring of constant k_(1) , as shown in figure. An inextensible string passes over the pulley. At one end of string a mass m is suspended, the other end of the string is attached to another spring of constant k_(2) . The other ends of both the springs are attached to rigid supports, as shown. Neglecting masses of springs and any friction, find the time period of small oscillations of mass m about equilibrium position.

A system is shown in the figure. The force The time period for small oscillations of the two blocks will be

A uniform disc of mass m is attached to a spring of spring constant k as shown in figure and there is sufficient friction to prevent slipping of disc. Time period of small oscillations of disc is:

Find the time period of the oscillation of mass m in figure a,b,c what is the equivalent spring constant of the pair oif springs in each case?

A uniform plank of mass m, free to move in the horizontal direction only , is placed at the top of a solid cylinder of mass 2 m and radius R. The plank is attached to a fixed wall by mean of a light spring constant k. There is no slipping between the cylinder and the planck , and between the cylinder and the ground. Find the time period of small oscillation of the system.

A thin fixed ring of radius 'R' and positive charge 'Q' is placed in a vertical plane. A particle of mass 'm' and negative charge 'q' is placed at the centre of ring. If the particle is given a small horizontal displacement, show that it executes SHM. Also find the time period of small oscillations of this particle, about the centre of ring. (Ignore gravity)

A uniform stick of length l is mounted so as to rotate about a horizontal axis perpendicular to the stick and at a distance d from the centre of mass. The time period of small oscillation has a minimum value when d//l is

The ratio of the time periods of small oscillation of the insulated spring and mass system before and after charging the masses is

In the arrangement shown in the diagram, pulleys are small and springs are ideal. k_(1)=k_(2)=k_(3)=k_(4)=10Nm^(-1) are force constants of the springs and mass m=10kg. If the time period of small vertical oscillations of the block of mass m is given by 2pix seconds, then find the value of x.

A solid cylinder of mass m length L and radius R is suspended by means of two ropes of length l each as shown. Find the time period of small angular oscillations of the cylinder about its axis AA'

Home
Profile