The maximum stress that can be applied to the material of a wire employed to suspend an elevator is 3 π × 10 8 N m - 2 . If the mass of the elevator is 900 kg , and it moves up with an acceleration of 2 . 2 m s - 2 then calculate the minimum radius of the wire. g = 10 m s - 2

Given, mass of the elevator m = 900 Kg , Acceleration a = 2 . 2 m s - 2 , Maximum stress S max = 3 π × 10 8 N m 2 Area A = π r min 2 , Tension T = S max A = S max π r min 2 , Weight = m g FBD equation of elevator: m a = T - m g ⇒ m a = S max π r min 2 - m g ⇒ r min = m a + g π S max = 900 2 . 2 + 10 π × 3 π × 10 8 ⇒ r min = 6 . 05 × 10 - 3 m Hence, minimum radius of the wire is ≅ 6 mm .

E M B I B E

Beta Question Bank for Medical: Physics>Chapter 12 - Elasticity>BEGINNER'S BOX - 1

Embibe Experts Solutions for Chapter: Elasticity, Exercise 1: BEGINNER'S BOX - 1

Author:Embibe Experts

Embibe Experts Physics Solutions for Exercise - Embibe Experts Solutions for Chapter: Elasticity, Exercise 1: BEGINNER'S BOX - 1

Attempt the practice questions on Chapter 12: Elasticity, Exercise 1: BEGINNER'S BOX - 1 with hints and solutions to strengthen your understanding. Beta Question Bank for Medical: Physics solutions are prepared by Experienced Embibe Experts.

Questions from Embibe Experts Solutions for Chapter: Elasticity, Exercise 1: BEGINNER'S BOX - 1 with Hints & Solutions

MEDIUM

NEET

IMPORTANT

Beta Question Bank for Medical: Physics>Chapter 12 - Elasticity>BEGINNER'S BOX - 1>Q 2

A $2 m$ long rod of radius $1 cm$ which is fixed at one end is given a twist of $0.8$ radians at the other end. Find the shear strain developed.

HARD

NEET

IMPORTANT

Beta Question Bank for Medical: Physics>Chapter 12 - Elasticity>BEGINNER'S BOX - 1>Q 3

The maximum stress that can be applied to the material of a wire employed to suspend an elevator is $\frac{3}{π} \times 10^{8} N m^{- 2}$ .
If the mass of the elevator is $900 kg$ , and it moves up with an acceleration of $2.2 m s^{- 2}$ then calculate the minimum radius of the wire. $(g = 10 m s^{- 2})$

Learn and Prepare for any exam you want !

|

|

|

|

|

|

|

|