Home
Class 11
PHYSICS
A square lead slab of side 50 cm and thi...

A square lead slab of side 50 cm and thickness 10 cm is subject to a shearing force (on its narrow face) of `9.0xx10^(4)N`. The lower edge is riveted to the floor How much will the upper edge be displaced ?

Text Solution

Verified by Experts

The lead slab is fixed and the force is applied parallel to the narrow face as shown in figure. The area of the face parallel to which this force is applied is
`A=50cm xx 10 cm =0.05 m^(2)`
Therefore the stress applied is
`=(9.4xx10^(4) //0.05)=1.80 xx 10^(6) N.m^(-2)`

We know that shearing strain `=(Deltax//L)="Stress"//G.`
Therefore the dispalcement `Deltax=("Stress"xxL)//G`
`=(1.8xx10^(6)xx0.5)//(5.6xx10^(9))=0.16mm`
Promotional Banner

Similar Questions

Explore conceptually related problems

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)

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 copper cube 0.30m on a side is subjected to a shearing force of F = 6.0xx10^6N . Assuming that the shear modulus for copper is 4.2xx10^10 N//m^2 . The angle through which the cube shear is (approximately)

Two syringes of different cross sections filled with water are connected with a tightly fitted rubber tube filled with water . Diameters of the smaller piston and larger piston are 1,0 cm and 3.0 cm respectively. (a) Find the force exerted on the larger piston when a force of 10N is applied to the smaller piston. (b) If the smaller piston is pushed in through 6.0 cm, how much does the larger piston move out?