A rod AD consisting of three segments AB,BC and CD joined together is hanging vertically from a fixed support at A. The lengths of the segments are restectively 0.2 m , 0.3m and 0.15 m . The cross-section of the rod is uniformly `10^(-4) m^(2)` . A weight of 10 kg is hung from D.Calculate the displacement of points B,C and D if `Y_(AB)=3.5xx10^(10)Nm^(-2) , Y_(BC)=5xx 10^(10), Y_(CD)=2xx10^(10)Nm^(-2)`.
(Neglect the weight of the rod )

A rod AD consisting of three segments AB, BC and CD joined together is hanging vertically from a fixed support at A. The lengths of the segments are respectively : 1 m, 0.2 m and 0.15 m. The cross section of the rod is uniformly 10^(–4) m^(2) . A weight of 10 kg is hung from D. Calculate the displacements of point of B, C and D using the data of Young's moduli given below (neglect the weight of the rod). Y_(AB) =2.5xx10^(10) N//m^(2) , Y_(BC)=4.0xx10^(10) N//m^(2) , Y_(CD) =1.0 xx10^(10) N//m^(2)

Figure shows a composite rod of cross-sectional area 10^(-4) m^(2) made by joining three rods AB, BC and CD of different materials end to end. The composite rod is suspended vertically and an object of 10 kg is hung by it. L _(AB) =0.1 m, _(BC) =0.2 m and L _(CD) =0.15 m. Calculate displacement of B,C and D Y_(AB) =2.5 xx 10 ^(10) Pa, Y_(BC) = 4 xx 10 ^(10) Pa and Y_(CD) = 1 xx 10 ^(10) Pa.

The length of a rod is 0.5 xx 10^(2) m , the order of magnitude of the length of the rod is

Determine the force required to double the length of the steel wire of area of cross-section 5 xx 10^(-5) m^(2) . Give Y for steel = 2 xx 10^(11) Nm^(-2) .

A rod of uniform cross sectional area 5mm^2 weighing 5 kg and length 1 m is suspended vertically from a fixed support the elongation produced in the rod if [Young's modulus of material, Y=2 x 10^11 N/m^2 and g=10 ms^(-2) ]

A light rod of length 2 m is suspended from ceiling horizontally by means of two vertical wires of equal length tied to its ends. One of the wires is made of steel and is of cross-section 0.1 cm sq. and the other of brass of cross-section 0.2 cm sq. Along the rod at what distance a weight may be hung to produce equal stresses in the wires? (Y_("Steel") = 2 xx 10^(11) Nm^(-2), Y_("Bass") = 1 xx 10^(11) Nm^(-2))

A light rod of length 2 m is suspended ceiling horizontally by means of two vertical wires of equal length tied to its ends. One of the wires is ade of steel and is of cross-section 0.1 cm and the other of brass of cross-section 0.2 cm. Along the rod at what distance a weight may be hung to produce stresses in the wires? (Y_("Steel") = 2 xx 10^(11) Nm^(-2), Y_("Bass") = 1 xx 10^(11) Nm^(-2))

A steel rod of length 1 m and area of cross section 1 cm^(2) is heated from 0^(@)C to 200^(@)C without being allowed to extend or bend. Find the tension produced in the rod (Y=2.0 xx 10 ^(11) Nm ^(-1) , alpha = 10 ^(-5) ^(@)C ^(-1))

A brass rod of length 2 m and corss-sectinal area 2.0 cm^(2) is attached to end to a steel rod of length L and corss-sectinal area 1.0 cm^(2) . The compound rod is subjected to equal and opposite pulls of magnitude 5 xx 10^(4) N at its ends. If the elongations of the two rods are equal, then the length of the steel rod L is (Y_("brass") = 1.0 xx 10^(11) Nm^(-2) and y_("steel") = 2.0 xx 10^(11) Nm^(-2))