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

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` ?

Text Solution

Verified by Experts

`F = 9 xx 10^(4) N` Rigidly modulus `= n = 5.6 xx 10^(9) Pa`
Shearing strain ` theta = ?`
`n = ( F )/( A theta ) , theta = ( F )/( An )`
`theta = ( 9 xx 10^(4))/( 0.025 xx 5.6 xx 10^(9))`
`= 6.428 xx 10^(-4) ` radian
From Figure `x = 1 theta , l = 0.5 m`

`x = 0.5 xx 6.428 xx 10^(-4) `
`= 3.2 xx 10^(-4) m`
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF MATTER

    ICSE|Exercise MODULE 2 (SOLVED EXAMPLES)|22 Videos

  • PROPERTIES OF MATTER

    ICSE|Exercise MODULE 3 (SOLVED EXAMPLES)|31 Videos

  • OSCILLATIONS

    ICSE|Exercise SELECTED PROBLEMS (OSCILLATION IN A TUNNEL BORED THROUGH THE EARTH)|2 Videos

  • SAMPLE QUESTION PAPER - 01

    ICSE|Exercise SECTION - D|12 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 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 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.

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 metal cube of side 20cm is subjected to a shearing force of 4000N. The top face is displaced through 0.50 cm with respect to the bottom. Find the rigidity modulus of the metal.

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