Home
Class 11
PHYSICS
A steel plate of face area 2 cm^(2) and...

A steel plate of face area 2 `cm^(2)` and the thickness 1.0cm is fixed at the lower face. A tangential force of 10N is applied on the upper surface. Find the lateral displacement of the upper surface with respect to the lower surface. Rigidity modulus of steel `=8.4xx10^(10)Nm^(-2)`

Text Solution

Verified by Experts

`A=2cm^(2)=2xx10^(-4)m^(2)`,
`L=1.0cm =1xx10^(-2)m`,
`F=10N. G=8.4xx10^(10)Nm^(-2), l=?`,
`G=(FL)/(Adeltax)`
The leteral displacement of the upper face with respect to the lower face is `Deltax=(FL)/(AG)`
`=(10xx1xx10^(-2))/( 2xx10^(-4) xx 8.4xx10^(10))`
`(1)/(16.8)xx10^(-7)m=5.952xx10^(-9)m`.
Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

f a shear force of 300 N is applied on a cube of side 40 cm, find the displacement of the top surface of the cube. The rigidity modulus of the material is 5xx10^(10)N//m^(2)

A shearing force of 10^(6) N is applied on the top surface of a fixed cube of side 10 cm. If the top surface is displaced by 0.33 mm, find rigidity modulus of the material of the cube.

Knowledge Check

  • A tangential force of 1000N is applied on upper surface of area 2mm^(2) which is 0.05 m from its fixed face. Find the shift of the upper surface with respect to its fixed face if its modulus of rigidity is 0.30xx10^(11)Nm^(-2) .

    A
    0.833 mm
    B
    0.734 mm
    C
    0.433 mm
    D
    0.533 mm

  • A rubber cube of side 5 cm has one face fixed while a tangential force 1800N is applied on its opposite face. If modulus of rigidity of rubber is 2.4 xx 10^(6) Nm^(-2) , then the lateral displacement of the strained face is _____

    A
    3mm
    B
    5mm
    C
    15mm
    D
    1.5mm

  • A slab of stone of area 3600 cm^(2) and thickness 10 cm is exposed on the lower surface to steam at 100^(@)C . A block of ice at 0^(@)C rests on upper surface of the slab. In one hour 4.8 kg of ice is melted. The thermal conductivity of the stone In js^(-1) m^(-1) k^(-1) is (latent heat of ice = 3.36 xx 10^(5) j//kg )

    A
    12
    B
    10.5
    C
    1.02
    D
    1.24

    • Similar Questions

    Explore conceptually related problems

    A fully loaded Boeing aircraft has a mass of 3.3xx10^(5)kg , its total wing area is 500m^(2) . It is in level flight with a speed of 960 km/h. (a) Estimate the pressure difference between the lower and upper surfaces of the wings (b) Estimate the fractional increase in the speed of the air on the upper surface of the wing relative to the lower surface. (The density of air is rho=1.2kgm^(-3) )

    A fully loaded Boeing aircraft has a mass of 3.3xx10^(5) kg, its total wing area is 500m^(2) . It is in level flight with a speed of 960 km/h. a. Estimate the pressure difference between the lower and upper surfaces of the wings b. Estimate the fractional increases in the speed of the air upper surface of the wing relative to the lower surface. (The density of air is rho=1.2kgm^(-3) )

    A 2cm cube of some substance has its upper face displaced by 0.15 cm due to a tangential force of 0.3 N while keeping the lower face fixed. Calculate the rigidity modulus of the substance.

    A slab of stone area 3600 cm^(2) and thickness 10 cm is exposed on the lower surface to steam at 100^(@) C. A black of ice at 0^(@) C rests on upper surface of the slab. In one hour 4.8 kg of ice is melted. The thermal conductivity of the stone in J^(-1) m^(-1) K^(-1) is (Latent heat of ice = 3.36 xx 1_(5) j/kg)

    A metal cube of side length 8.0cm has its upper surface displaced with respect to the bottom by 0.10 mm when tangential force of 4 xx 10^4N is applied at the top with bottom surface fixed. The rigidity modulus of the material of the cube is

    Home
    Profile