Recent questions in Mechanical Properties of Solids

A cylinder of mass m and density $\rho$ hanging from a string is lowered into a vessel of cross. sectional area s containing a liquid of density $ \sigma( < \rho)$ until it is fully immersed. The increase in pressure at the bottom of vessel is

asked Oct 4, 2013 by meena.p

1 answer

The velocity of small ball of mass M and density $d_1$ when dropped in a container filled with glycerin becomes constant after some time. If the density of glycerin is $d_2$ then force acting on the ball

asked Oct 4, 2013 by meena.p

1 answer

For a given material , The young's modulus is 2.4 times that of rigidity modulus. It's Poisson's ratio is ::

asked Oct 4, 2013 by meena.p

1 answer

The Comprehensibility of water is $5 \times 10^{-10}\;m^2/N$. It is subjected to a pressure of $15\;M\;pa$. The fraction decrease in volume will be

asked Oct 4, 2013 by meena.p

1 answer

The volume of solid rubber ball when it is carried from surface of 200 m deep lake decreases by $0.1\%$ The value for bulk modulus elasticity of rubber will be

asked Oct 4, 2013 by meena.p

1 answer

A steel wire of uniform cross- section of $2\;mm^2$ is heated upto $50^{\circ}$ and clamped rigidly at two ends. If the temperature of wire falls to $30^{\circ}$ then change in tension in wire will be , if coefficient of linear expansion of steel is $1.1 \times 10^{-5}/ ^{\circ} C$ and $Y=2 \times 10^{11} N/m^2$

asked Oct 3, 2013 by meena.p

1 answer

Work done in increasing the length of $1\;m$ long wire of cross-sectional area $1\;mm^2$ through $1\;mm$ is $y=2 \times 10^{11}N/m^2$

asked Oct 3, 2013 by meena.p

1 answer

Two wire are made of same material and have same volume However wire 1 has cross-sectional area A and wire 2 has cross-sectional area 3A. If length of wire 1 is increased by $\Delta x$ on applying force F, how much force is needed to stretch wire 2 by same amount

asked Oct 3, 2013 by meena.p

1 answer

Excess pressure inside one soap bubble is three times that inside second soap bubble. Find the ratio of volume of first bubble to second.

asked Oct 3, 2013 by meena.p

1 answer

A capillary of shapes as shown is dipped in a liquid. Contact angle between liquid minisues is to be neglected . T is surface tension of liquid, r is radius of meniscus g is acceleration due to gravity $\rho$ is density of the liquid then height h in equillibrium is

asked Oct 3, 2013 by meena.p

1 answer

As square box of water has a small hole located in one of the bottom corner. When the box is full and sitting on level surface complete opening of the hole results in a flow of water with speed $v_0.$ When box is half empty, it is lilted by $45^{\circ}$. So that the hole is at lowest position. Now the water will flow with speed of

asked Oct 3, 2013 by meena.p

1 answer

A cylindrical vessel filled with water is released on an in inclined plane of angle $\theta$ as shown. The coefficient of friction of surfaces is $(\mu ( < \tan \theta)$. Then the contact angle made by the surface of water with the incline is

asked Oct 3, 2013 by meena.p

1 answer

Velocity of the liquid coming out of a small hole of u vessel containing two different liquids of density $2 \rho$ ans $\rho$ as shown is

asked Oct 3, 2013 by meena.p

1 answer

A steel wire $1.5\;m$ long and radius $1\;mm$ is attached with a load of $3 \;Kg$ at one end and the other end of he wire is fixed. It is wirled in a vertical circle with frequency $2\;Hz$. find the elongation of the wire when the weight is at the lowest position. $[Y=2 \times 10^{11} N/m^2 \quad g=10m/s^2]$

asked Oct 3, 2013 by meena.p

1 answer

The bulk modulus of elasticity of helium at 1 atmospheric pressure, assuming variation of pressure and volume is adiabatic, is

asked Oct 3, 2013 by meena.p

1 answer

A wire breaks when subjected to a stress S. If $\rho$ is the density of the material of wire, then the length of the wire. So that it breaks by its own weight is

asked Oct 3, 2013 by meena.p

1 answer

A steel wire of uniform cross- sectional area $2\;mm^2$ in heated upto $50^{\circ}C$ and is stretched by clamping its two ends rigidly. The change in tension when the temperature falls from $50^{\circ}C$ to $30^{\circ}C$ is $( \alpha =1.1 \times 10^{-5} C)\;(Y=2.0 \times 10^{11} N/ m^2)$

asked Oct 3, 2013 by meena.p

1 answer

A wire of length L and cross-sectional area A is made of material of Young's modulus Y. The work done in stretching the wire by an amount x is given by

asked Oct 3, 2013 by meena.p

2 answers

Four identical hollow cylindrical column of steel support a big structure of mass $50000\;kg$. The inner and outer radii of each column are 30 and 60 cm respectively. Assuming load distribution to be uniform , the compressional strain of each column is $ [y_{steel}=2.0 \times 10^{11} Nm^{-2}]$

asked Oct 3, 2013 by meena.p

1 answer

A metal plate of cross-sectional area rests on a layer of caster oil $(\eta= 15.5 p) \;0.2\;cm$ thick. Calculate the horizontal force required to move the plate with a speed of $3 cm/s$

asked Oct 3, 2013 by meena.p

1 answer

The stress versus strain graph for wires of two material A and B are as shown. If $Y_A$ and $Y_B$ are the Young's modulus of materials then

asked Oct 3, 2013 by meena.p

1 answer

A steel wire of $40\;m$ in length is stretched through $2.0\; mm.$ The cross sectional area of the wire is $2.0 \;mm^2$ . If young's modulus of steel is $2.0 \times 10^{11}\;N/m^2$ the energy density of wire is

asked Oct 2, 2013 by meena.p

1 answer

What is the work done in splitting a drop of water 1 mm radius into $10^6$ droplets (surface tension of water $= 72 \times 10^{-3} \; J/m^2$)

asked Oct 2, 2013 by meena.p

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A sample of liquid has an initial volume of $1.5 \;l$. The volume is reduced to $0.2 ml$ . When the pressure increased by $140\;R\;pa$. What is bulk modulus of liquid

asked Oct 2, 2013 by meena.p

1 answer

The elastic energy stored in a write of young's modulus Y is

asked Oct 2, 2013 by meena.p

1 answer

Water rises to a height of 20 mm in a capillary . If the radius of the capillary is made $\large\frac{1}{3}$rd of its precious is made then what is the new value of the capillary rise?

asked Oct 2, 2013 by meena.p

1 answer

A tank filled with water has a hole at a certain height from its bottom. The volume of water emerging out per second from the hole does not depend on

asked Oct 2, 2013 by meena.p

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