Home
Class 12
PHYSICS
A square lead slab of side 50 cm and thi...

A square lead slab of side 50 cm and thickness 10.0 cm is subjected to a shearing force (on its narrow face) of magnitude `9.0xx10^(4)` N. The lower edge is riveted to the floor as shown in figure. How much is the upper edge displaced, if the shear modulus of lead is `5.6xx10^(8)Pa` ?

Text Solution

Verified by Experts

Here, `L=50 cm=50xx10^(-2)m, G=5.6xx10^(9)Pa, F=9.0xx10^(4)N`
Area of the face on which force is applied, `a=50xx10="500 sq. cm = 0.05 m"^(2)`
If `DeltaL` is the displacement of the upper edge of the slab due to tangential force F applied, then
`G=(F//a)/(DeltaL/L)or DeltaL=(FL)/(Ga)=(9xx10^(4)xx50xx10^(-2))/(5.6xx10^(9)xx0.05`
`G=1.6xx10^(-4)m`
Promotional Banner

Topper's Solved these Questions

  • MECHANICAL PROPERTIES OF SOLIDS

    AAKASH INSTITUTE ENGLISH|Exercise Try Yourself|32 Videos

  • MECHANICAL PROPERTIES OF SOLIDS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - A)|31 Videos

  • MECHANICAL PROPERTIES OF FLUIDS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - J|9 Videos

  • Mock test 03

    AAKASH INSTITUTE ENGLISH|Exercise EXAMPLE|44 Videos

Similar Questions

Explore conceptually related problems

A square lead slab of side 50cm and thickness 5.0cm is subjected to a shearing force (on its narrow face) of magnitude 9.0xx10^(4) N. The lower edge is riveted to the floor. How much is the upper edge displaced, if the shear modulus of lead is 5.6xx10^(90) Pa?

A square lead slab of sides 50cm and thickness 5.0cm is subjected to a shearing force ( on its narrow face ) of magnitude 9.0 xx 10^(4) N . The lower edge is riveted to the floor. How much is the upper edge displaced if the shear modulus of lead is 5.6 xx 10^(9)Pa ?

A square lead slab of side 50 cm and thickness 10 cm is subjected to a shearing force (on its narrow face) of 9xx10^4N . The lower edge is riveted to the floor. How much will the upper edge be displaced? (Shear modulus of lead =5.6xx10^9Nm^-2 )

A square lead slab of side 50 cm and thickness 10 cm is subjected to a shearing force (on its narrow face) of 9xx10^4N . The lower edge is riveted to the floor. How much will the upper edge be displaced? (Shear modulus of lead =5.6xx10^9Nm^-2 )

A square aluminium of side 50cm and thickness 5cm is subjected to a shearing force of magnitude 10^(4)N . The lower edge is revetted to the floor. How much is the upper edge displaced if shear modulus of aluminium is 2.5 xx 10^(10) Nm^(-2) ?

A lead cube of side 20 cm is subjected under a shearing force of magnitude 5.6 x 10^6 N . If the lower face of the cube is fixed, then the displacement in the upper face is (If shear modulus of lead is 5.6 * 10^6 N/m^2)

A square brass plate of side 1.0 m and thickness 0.0035m is subjected to a force F on its smaller opposite edges, causing a displacement of 0.02 cm . If the shear modulus o brass is 0.4 xx 10^(11) N//m^(2) , the value on force F is

One of the square faces of a metal slab of side 50 cm and thickness 20 cm is rigidly fixed on a horizontal surface. If a tangential force of 30 N is applied to the top face and it is known that the shear modulus of the material is 4 xx 10^(10) N//m^(2) , then the displacement (in m) of the top face is

A metalic cube whose side is 10cm is subjected to a shearing force of 100 N. The top face is displaced through 0.25cm with respect to the bottom . Calculate the shearing stress, strain and shear modulus.

The metal cube of side 10 cm is subjected to a shearing stress of 10^(4) N m^(-2) . The modulus of rigidity if the top of the cube is displaced by 0.05 cm with respect to its bottom is