Two rods `' A '` & `' B '` of equal free length hang vertically `60 cm` apart and support a rigid bar horizontally. The bar remains horizontal when carrying a load of `5000 kg` at `20 cm` from `'A'`. If the stress in `'B'` is `50 N//mm^(2)`m, find the stress in `'A'` and the areas of `'A'` and `'B'`
Given `Y_(B) = 9 xx 10^(4) N//m^(2),Y_(A) = 2 xx 10^(5) N//mm^(2), g = 10m//sec^(2)`

A steel rod of length l_(1) = 30 cm and two identical brass rod of length l_(2)= 20 cm each support a light horizontal platform as shown in Fig. Cross-sectional area of each of the three rods is A = 1 cm^(2) . A vertically downward force F= 5000 N is applied on the platform. Young's modulus of elasticity for steel Y_(s)=2xx10^(11)Nm^(-2) and brass Y_(b) = 1 xx 10^(11) Nm^(-2) . Find stress (in MPa ) developed in a. Steel rod b. Brass rod

A steel rod of length l_(1) = 30 cm and two identical brass rod of length l_(2)= 20 cm each support a light horizontal platform as shown in Fig. Cross-sectional area of each of the three rods is A = 1 cm^(2) . A vertically downward force F= 5000 N is applied on the platform. Young's modulus of elasticity for steel Y_(s)=2xx10^(11)Nm^(-2) and brass Y_(b) = 1 xx 10^(11) Nm^(-2) . Find stress (in MPa ) developed in a. Steel rod b. Brass rod

A rigid bar AB is supported in a vertical plane and carries a load Q at its free end. Neglecting the weight of the bar, find the tension of the string CD.

A uniform steel rod of length 1m and area of cross section 20 cm^2 is hanging from a fixed support. Find the increase in the length of the rod.

An Aluminium and Copper wire of same cross sectional area but having lengths in the ratio 2: 3 are joined end to end. This composite wire is hung from a rigid support and a load is suspended from the free end. If the increase in length of the composite wire is 2.1 mm, the increase in lengths of Aluminium and Copper wires are: [Y_(Al)=20xx10^(11)N//m^(2) and Y_(CU) = 12xx10^(11)N//m^(2)]

A steel cable with a radius 2 cm supports a chairlift at a ski area. If the maximum stress is not to exceed 10^8 N m^(-2) , the maximam load the cable can support

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