Mechanical Properties of Matter
Two persons pull a rope towards themselves. Each person exerts a force of $$100$$ $$N$$ on the rope. Find the Young modulus of the material of the rope if it extends in length by $$1$$ $$cm$$. Original length of the rope is $$2$$ $$m$$ and the area of cross section is $$2$$ $$cm^2$$
Mechanical Properties of Matter
A student plots a graph from his reading on the determination of Young modulus of a metal wire but forgets to put the labels. the quantities on X and Y -axes may be respectively
Mechanical Properties of Matter
A piece of copper having a rectangular cross-section of $$15.2 mm \times 19.1 mm$$ is pulled in tension with $$44,500\ N$$ force, producing only elastic deformation. Calculate the resulting strain? (Modulus of elasticity of copper, $$Y = 42 \times 10^{9}\ Nm^{-2}$$)
Mechanical Properties of Matter
The maximum load a wire can withstand without breaking, when its length is reduced to half of its original length, will
Mechanical Properties of Matter
For most materials, the Young's modulus is $$n$$ times the modulus of rigidity, where $$n$$ is
Mechanical Properties of Matter
With rise in temperature, the Young's modulus of elasticity
Mechanical Properties of Matter
Young's modulus of a wire depends on
Mechanical Properties of Matter
A wire of length $$L$$ and area of cross-section $$A$$, is stretched by a load. The elongation produced in the wire is $$l$$. If $$Y$$ is the Young's modulus of the material of the wire, then the force constant of the wire is :
Mechanical Properties of Matter
In steel, the Young's modulus and the strain at the breaking point are $$2\times 10^{11}N/m^{2}$$ and $$0.15$$ respectively. The stress at the breaking point for steel is therefore :
Mechanical Properties of Matter
The Young's modulus of a wire of length l and radius r is $$Y\:N/m^{2}$$. If the length is reduced to $$L/2$$ & radius to $$r/2$$, then its Young's modouls will be-