A rod of length 2 m is at a temperature of `20^@` C. find the free expansion of the rod, if the temperature is increased to `50^@`C, then find stress produced when the rod is (i) fully prevented to expand, (ii) permitted to expand by 0.4mm. `Y=2xx10^(11)N//m^(2), alpha=15xx10^(-6//^(@))C`.

Passage - I: A rod of length 2m is at a temperature of 20^(@) C . Find the free expansion of the rod, if the temperature is increased to 50°C, then find stress produced when the rod is Fully prevented to expand

Passage - I: A rod of length 2m is at a temperature of 20^(@) C . Find the free expansion of the rod, if the temperature is increased to 50°C, then find stress produced when the rod is Permitted to expand by 0.4 mm. Y= 2 xx 10^( 11) N//m^(2) , alpha = 15 xx 10^(-6) //^(@) C

Passage - I: A rod of length 2m is at a temperature of 20^(@) C . Find the free expansion of the rod, if the temperature is increased to 50°C, then find stress produced when the rod is Stress produced when the rod is free

A rod of steel is 5m long and 3cm diameter at a tempearatyre if 20^(@)C . Find the free expansion of the rod when the temperature us raused ti 65^(@)C . Find the respective pulls exerted if (i) the ends do not yield and (ii) the ends yield by 0.12 cm. Y = 2 xx 10^(5) MN // m^(2) and alpha = 12 xx 10^(6) per ^(@)C

Two rods of equal cross sections, one of copper and the other of steel, are joined to form a composite rod of length 2.0 m at 20^@C , the length of the copper rod is 0.5 m. When the temperature is raised to 120^@C , the length of composite rod increases to 2.002m. If the composite rod is fixed between two rigid walls and thus not allowed to expand, it is found that the lengths of the component rods also do not change with increase in temperature. Calculate Young's moulus of steel. (The coefficient of linear expansion of copper, alpha_c=1.6xx10^(-5@)C and Young's modulus of copper is 1.3xx10^(13)N//m^(2) ).

Two rods of equal cross sections, one of copper and the other of steel, are joined to form a composite rod of length 2.0 m at 20^@C , the length of the copper rod is 0.5 m. When the temperature is raised to 120^@C , the length of composite rod increases to 2.002m. If the composite rod is fixed between two rigid walls and thus not allowed to expand, it is found that the lengths of the component rods also do not change with increase in temperature. Calculate Young's moulus of steel. (The coefficient of linear expansion of copper, alpha_c=1.6xx10^(-5@)C and Young's modulus of copper is 1.3xx10^(13)N//m^(2) ).