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Modulus Of Rigidity

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For aluminium, the bulk modulus and modulus of rigidity are 7.5xx10^(10)N//m^(2) and 2.01xx10^(10)N//m^(2) respectively. Find the velcoity of longitudinal and transverse wave in the medium. Given desity of aluminium is 2.7xx10^(3)kg//m^(3) .

For a material Young's modulus and rigidity modulus are respectively 15times10^(10) and 6times10^(10)Nm^(-2) . Then poisson's ratio is extra

Knowledge Check

  • With regard to dependence of quantities given in column I and II, match the following. {:(,"Column I",,"Column II"),((A),"Young's modulus of a substance ",(p),"Depends on temperature"),((B),"Bulk modulus of a substance",(q),"Depends on length"),((C),"Modulus of rigidity of a substance",(r),"Depends on area of cross-section"),((D),"Volume of a substance",(s),"Depends on the nature of material"):}

    A
    `{:(A,B,C,D),("p,s","q,s","p,s","p,q"):}`
    B
    `{:(A,B,C,D),("p,s","p,s","p,s","p,q"):}`
    C
    `{:(A,B,C,D),("p,s","p,s","p,s","p,q,r"):}`
    D
    `{:(A,B,C,D),("p,q,r","p,s","p,s","p,r"):}`
  • Modulus it rigidity of ideal liquids is

    A
    infinity
    B
    zero
    C
    unity
    D
    some finite small non-zero constant value
  • A highly rigid cubical block A of small mass M and slide L is fixed rigidly on to another cubical block B of the same dimensions and of low modulus of rigidity η such that the lower face of A completely covers the upper face of B. The lower face of B is rigidly held on a horizontal surface. A small force F is applied perpendicular to one of the sides faces of A. After the force is withdrawn, block A executes small oscillations the time period of which is given by.

    A
    `(2 pi) sqrt(M eta L)`
    B
    `(2 pi) sqrt (M eta)/(L)`
    C
    `(2 pi) sqrt (M L)/(eta)`
    D
    `(2 pi)sqrt (M)/(eta L)`
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    The young "s" modulus and rigidity modulus of a metal are "40" Gpa and "20" Gpa respectively.Then bulk modulus is (A) "13.33" Gpa (B) "26.67" Gpa (C) "6.67" Gpa (D) "120" Gpa

    Introduction to mechanical properties of solid |Stress|Strain|Bulk modulus|Rigidity modulus

    A highly rigid cubical block A of small mass M and side L is fixed rigidly on the other cubical block of same dimensions and of modulus of rigidity eta such that the lower face of A completely covers the upper face of B . The lower face of B is rigidly held on a horizontal surface . A small force F is applied perpendicular to one of the side faces of A . After the force is withdrawn , block A executes faces of A . After the force is withdrawn , block A exceutes small oscillations , the time period of which is given by

    What is the correct relation between young's modulus (Y), modulus is rigidity (eta) and poisson ratio (sigma) ?

    If the longitudinal strain in a cubical body is three times the lateral strain then the bulk modulus K, Young's modulus Y and rigidity is are related by