684 Views

a mass of 10 kg is suspended from the free end of spring when set for vertical oscillation the system executes 50 oscillation in 20 seconds calculate the force constant of the spring and angular frequency


Kaushikbhoomi007 21st Jan, 2021
Answers (2)

A load of 10 kg is suspended from the free end of a string, causing the springs length to extend by (Let x m) from its normal position.


The spring completes 50 oscillations in 20 seconds, resulting in a time period of 0.4 seconds for each oscillation. As a result, the angular frequency is 2/0.4= 5 Hz.

Ayush 22nd Jan, 2021

Hello candidate,

The mass of 10 kg is suspended from the free end of a string, which produces an extension of (Let x m), in the springs length from the normal position.

The spring complete 50 oscillation within 20 seconds, so the time period for one oscillation is equal to 0.4 seconds. So, the angular frequency is equal to 2π/0.4= 5π Hz.

Time period= 2π×√m/k, where m = 10kg and Time= 0.4 second. So, the value of k= 2.469 KN/m.

Hope it helps!!

Know More About

Related Questions

Amity University-Noida B.Tech...
Apply
Among top 100 Universities Globally in the Times Higher Education (THE) Interdisciplinary Science Rankings 2026
Amrita University B.Tech 2026
Apply
Recognized as Institute of Eminence by Govt. of India | NAAC ‘A++’ Grade | Upto 75% Scholarships
UPES B.Tech Admissions 2026
Apply
Last Date to Apply: 28th Feb | Ranked #43 among Engineering colleges in India by NIRF | Highest Package 1.3 CR , 100% Placements
Amity University-Noida BBA Ad...
Apply
Among top 100 Universities Globally in the Times Higher Education (THE) Interdisciplinary Science Rankings 2026
BML Munjal University | B.Tec...
Apply
A Hero Group Initiative | Up to 100% Scholarships | Highest CTC 32.99 LPA | Average CTC 8.45 LPA | Accepts JEE Score | Applications Closing Soon!
Amity University-Noida MBA Ad...
Apply
Ranked among top 10 B-Schools in India by multiple publications | Top Recruiters-Google, MicKinsey, Amazon, BCG & many more.
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books