4. A steel rod having circular cross section with diameter 5 cm and length 3 m is utilized to hang a block of 100 kg at its free end. Its upper end is fixed with the ceiling. Steel density is 8000kg/m3 . Find the total elongation of the rod, taking into account its own weight. Take E = 210 GPa.

#Free

228 Views

4. A steel rod having circular cross section with diameter 5 cm and length 3 m is utilized to hang a block of 100 kg at its free end. Its upper end is fixed with the ceiling. Steel density is 8000kg/m3 . Find the total elongation of the rod, taking into account its own weight. Take E = 210 GPa.

rahulattri0190 21st Dec, 2020

Answer

Answer Later

Report

Answer (1)

Ayush 30th Dec, 2020

Hello Candidate,

The formula for Young's Modulus of Elasticity for steel is given by: Y= Mass Attached* Length/ Elongation* Area of Cross Section.

Here, the value of Young's Modulus=21000 Pascal, Mass Attached=100 kg, Length=3 metres, Area of Cross Section= 22/7*5*5 cm2= .0019 metres2. So, elongation= 1000*3/ .0019*21000= 75.18 metres.

Hope that this answer helps you.

Thank You.

Like Share

Related Questions

one end of a steel wire of length 0.2 m and radius 2×10^-3m is fixed.if the work done in twisting the free end of the wire is 3.85×10^-2J, calculate the angle through which the wire is twisted.Given rigidity modulus of steel wire=8.075×10^11Nm^2 Ans:1.58degree

359 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

684 Views

A uniform chain of length 2m is kept on a free table such that a length of 60cm hangs freely from edge of the table the total mass of the chain is 4kg .what is the workdone in pulling the entire chain onto the table

394 Views

if i get any course free seat if my neet score is 210

70 Views

a mass of 10kg is suspended from the free end of a spring.when set for oscillations the system executes 100 oscillations in 5minute.calculate the force constant of the spring .

82 Views

Applications for Admissions are open.

Amity University-Noida B.Tech...

Apply

Among top 100 Universities Globally in the Times Higher Education (THE) Interdisciplinary Science Rankings 2026

Narayana Business School MBA/...

Apply

Top 30 Private B-Schools Nationally and Top 3 in Gujarat | Highest CTC- 20 LPA | Average CTC- 8.4 LPA | 40% Pre-Placement Offers | 670+ Recruiters 

JAGSoM PGDM Admissions 2026

Apply

Highest CTC 51.38 LPA | Median CTC 10.32 LPA | Top 25% Average CTC 14.32 LPA

IFMR Graduate School of Busin...

Apply

UGC Approved Programs | Near 100% Placement Record | Up to 100% Scholarships | Highest CTC 21.32 LPA

Amity University-Noida Law Ad...

Apply

Among top 100 Universities Globally in the Times Higher Education (THE) Interdisciplinary Science Rankings 2026

Great Lakes Institute of Mana...

Apply

Globally Recognized by AACSB (US) & AMBA (UK) | 17.8 LPA Avg. CTC for PGPM 2025

View All Application Forms

Trending Articles/News

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