Home
Class 11
PHYSICS
A spring stretches by 0.020m when a 1.5 ...

A spring stretches by `0.020m` when a 1.5 kg object is suspended from its end . How much mass should be attached to the spring so that its frequency of vibration is `f=3.1Hz` ?

Text Solution

Verified by Experts


`sumF_(y)=ma_(y)=0`
`kx-mg=0impliesk=(mg)/(x)`
The force constant is,
`k=((1.5)(9.8))/((0.020))=14.7/0.020=735N//m.`
Frequency `=1/(2pi) sqrt((k)/(m))`
`implies4pi^(2)f^(2)=k/m`
`m=(k)/(4pi^(2)f^(2))impliesm=((735))/(4pi^(2)(3.0)^(2))`
`=((735))/(4xx(3.75)^(2)xx(9.0))`
`=735/(4xx9.85xx9.0)`
`=(735)/(354.6)=2.07kg`
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS

    SURA PUBLICATION|Exercise NUMERICAL PROBLEMS (3 Marks)|5 Videos

  • OSCILLATIONS

    SURA PUBLICATION|Exercise CREATIVE QUESTIONS (HOTS)|21 Videos

  • OSCILLATIONS

    SURA PUBLICATION|Exercise NUMERICAL PROBLEMS (1 Mark)|10 Videos

  • NATURE OF PHYSICAL WORLD AND MEASUREMENT

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS|241 Videos

  • PROPERTIES OF MATTER

    SURA PUBLICATION|Exercise Value based Questions|5 Videos

Similar Questions

Explore conceptually related problems

A massless spring, having force constant k, oscillates with a frequency n when a mass m is suspended from it. The spring is cut into two equal halves and a mass 2m is suspended from one of the parts. The frequency of oscillation will now be………….

A wire of length 2.00 m is stretched to a tension of 160 N. If the fundamental frequency of vibration is 100 Hz, find its linear mass density.

A 0.2 kg of mass hangs at the end of a spring. When 0.02 kg more mass is added to the end of the spring, it stretches 7 cm more. If the 0.02 kg mass is removed, what will be the period of vibration of the system?

A metal bob is suspended from a coiled spring. When set into vertical vibrations on the earth. It oscillates up and down with frequency f. If the same experiment is carried out in a satellite circling the Earth the frequency of vibration will be……………

An ideal spring of spring constant k, is suspended from the ceiling of a room and a blok of mass m is fastened to its lower end. If the block is released when the spring is un-stretched, then then maximum extension in the spring is :

An ideal spring of spring constant k, is suspended from the ceiling of a room and a blok of mass m is fastened to its lower end. If the block is released when the spring is un-stretched, then then maximum extension in the spring is :

The pendulum of a clock is replaced by a spring mass system with the spring having spring constant 0.1Nm^-1 . What mass should be attached to the spring?

A spring of spring constant 50 N/m is compressed from its natural position through 1 cm. Find the work done by the spring force on the agency compressing the spring.