A vertical metal cylinder of radius 2 cm and length 2 m is fixed at the lower end and a load of 100 kg is put on it. Find (a) the stress (b) the strain and (c) the compression of the cylinder. Young modulus of the metal =2 x 10 11 N m -2 .

Question

Philoid · Accepted Answer

(a) 7.96 × 10⁵ N m^-2

(b) 4 × 10^-6

(c) 8 × 10^-6 m

Given, Radius of cylinder,

Length of cylinder,

Weight of the load,

Young modulus of the metal,

Area of cross-section of the cylinder,

(a)The stress is given by

Here the force is gravitational in nature.

(b) We know,

The strain is given by

(c) Let the compression be

The strain is given by

A vertical metal cylinder of radius 2 cm and length 2 m is fixed at the lower end and a load of 100 kg is put on it. Find (a) the stress (b) the strain and (c) the compression of the cylinder. Young modulus of the metal =2 x 1011 N m-2.

A vertical metal cylinder of radius 2 cm and length 2 m is fixed at the lower end and a load of 100 kg is put on it. Find (a) the stress (b) the strain and (c) the compression of the cylinder. Young modulus of the metal =2 x 10¹¹ N m^-2.