A Spring With No Mass Attached To It Hangs From A Rigid Support. A Mass mis Now Hung On The Lower End To The Spring. The Mass Is Supported On A Platform So That The Spring Remains Relaxed. The Supporting Platform Is Then Suddenly Removed And The Mass Begins To Oscillate. The Lowest Position Of The Mass During The Oscillation Is 5 Cm Below The Place Where It Was Resting On The Platform. What Is The Angular Frequency Of Oscillation? Take G = 10 Ms–2.

Why Kaysons ?

Video lectures

Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation.

Online Support

Practice over 30000+ questions starting from basic level to JEE advance level.

Live Doubt Clearing Session

Ask your doubts live everyday Join our live doubt clearing session conducted by our experts.

National Mock Tests

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

Organized Learning

Proper planning to complete syllabus is the key to get a decent rank in JEE.

Test Series/Daily assignments

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.



A spring with no mass attached to it hangs from a rigid support. A mass mis now hung on the lower end to the spring. The mass is supported on a platform so that the spring remains relaxed. The supporting platform is then suddenly removed and the mass begins to oscillate. The lowest position of the mass during the oscillation is 5 cm below the place where it was resting on the platform. What is the angular frequency of oscillation? Take g = 10 ms–2.


Correct option is


It is clear from fig that the separation between the two extreme position of the oscillating mass is 5 cm. Therefore, the equilibrium position O is 2.5 cm below the supporting platform. In other words, force m g produces an extension

y = 2.5 cm in the spring. If k is the force

constant of the spring we have  


The angular frequency ω of oscillation is




A cylindrical piece of cork of height h and density ρc floats vertically in a liquid of density ρl. The cork is depressed slightly an released. If viscous effects are neglected, the time period of vertical oscillations of the cylinder is given by


An air chamber of volume V has a neck of cross-sectional area a into which a light ball of mass m can move without friction. The diameter of the ball is equal to that of the neck of the chamber. The ball is pressed down a little and released. If the bulk modulus of air in B, the time period of the resulting oscillation of the ball is given by 


A simple pendulum of length l and bob mass m is displaced from its equilibrium position O to a position P so that the height of P above O is h. It is then released. What is the tension in the string when the bob passes through the equilibrium position O? Neglect friction. V is the velocity of the bob at O.


A trolley of mass m is connected to two identical springs, each of force constant k, as shown in fig. The trolley is displaced from its equilibrium position by a distance x and released. The trolley executes simple harmonic motion of period T. After some time it comes to rest due to friction. The total energy dissipated as heat is (assume the damping force to be weak)



Figure (a) shows a spring of force constant k fixed at one end and carrying a mass m at the other end placed on a horizontal frictionless surface. The spring is stretched by a force F. figure (b) shows the same spring with both ends free and a mass m fixed at each free end. Each of the spring is stretched by the same force F. the mass is case (a) and the masses in case (b) are then released.


Which of the following statements is/are true? 


A simple pendulum of bob mass m is oscillating with an angular amplitudeαm (in radius). The maximum tension in the string is



A particle is executing simple harmonic motion. Its displacement is given by   


where x is in cm and t in seconds. How long will the particle take to move from the position of equilibrium to the position of maximum displacement?


A simple pendulum is moving simple harmonically with a period of 6 s between two extreme position B and C about a point O. if the angular distance between B and C is 10 cm, how long will the pendulum take to move from position C to a position D exactly midway between O and C.


A horizontal platform with an object placed on it is executing SHM in the vertical direction. The amplitude of oscillation is 2.5 cm. What must be the least period of these oscillations so that the object is not detached from the platform? Take g = 10 ms –2 


When a mass m is hung from the lower of a spring of negligible mass, an extension x is produced in the spring. The mass is set into vertical oscillations. The time period of oscillation is