Mechanical Prop...

A $$2\ m$$ long light metal rod $$AB$$ is suspended from the ceiling horizontally by means of two vertical wires of equal length, tied to its ends. One wire is of brass and has cross-section of $$0.2 \times 10 ^ { - 4 }\ m ^ { 2 }$$ and the other is of steel with $$0.1 \times 10 ^ { 4 }\ m^2$$ cross-section. In order to have equal stresses in the two wires, a weight should be hung from the rod from end $$A$$ a distance of

A particle of mass $$m$$ is moving with constant speed $$v$$ in a circular path on a smooth horizontal plane by a spring as shown. If the natural length of the spring is $$l _ 0$$ and stiffness of the spring is $$k$$, the elongation of the spring is :

Two wires of the same material (young's modules Y) and same length L but radii $$R$$ and $$2R$$ respectively are joined end to end and a weight $$W$$ is suspended from the combination as shown in the figure. the elastic potential energy in the system in equilibrium is 

The intensity at the maximum in a Young's double slit experiment is $${ I }_{ 0 }$$. Distance between two slits is $$d=5\lambda $$, where $$\lambda $$ is the wavelength of light used in the experiment. What will be the intensity in front of one of the slits on the screen at a distance $$D = 10 d$$ ?

Find the stress in $$CD.$$
Area of $$CD = 2\ m^2$$

A uniform steel wire hangs from the ceiling and elongates due to its own weight. The ratio of elongation of the lower half of wire is 

A wire is stretched by 0.01 m by a certain force 'F' another wire of  same material whose diameter and lengths are double to original wire is stretched b the same force then its elongation will be-

A wire of length $$1\, m$$ and its area of cross-section is $$1\, cm^3$$. The Young's modulus of the wire is $$10^{11}\, Nm^{-2}$$. Two forces each equal to $$F$$ are applied on its two ends in the opposite directions. If the change in length be $$1\, mm$$, what is the value of $$F$$?

One end of a uniform wire of length Land of weight Wis attached rigidly to a point in the roof and a weight $$W_1$$, is suspended from its lower end. If $$A$$ is the area of cross section of the wire, the stress in the wire at a height $$\cfrac{6L}{8}$$ from its lower end is

A massless and thin string is wrapped several times around a disc kept on a rough horizontal surface. A boy standing at a distance 'd' for the cylinder holds free end of the string pulls the cylinder towards him. If there is no slipping, length of the string passed through the hand of the boy while the cylinder reaches his hands is