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We have common experience that a thin th...

We have common experience that a thin thread breaks if pulled at its ends. Also a thin metalic wire, when pulled at the ends elongates and then contracts, when released. What do you mean by elasticity?

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We have common experience that a thin thread breaks if pulled at its ends. Also a thin metalic wire, when pulled at the ends elongates and then contracts, when released. A lift is tied with thick iron wires and its mass is 1000kg . What should be the minimum diameter of the wire if the maximum acceleration of the lift is 1.2m/s^2 and maximum safe stress of the wire is 1.4xx10^8N/m^2 (g= 9.8m/s^2 )

Don't we apply force when we push in and pull out the piston? But when we released the hand, the piston moved inwards in the first case, and outwards in the second case. What was the force applied on the piston?

Knowledge Check

  • A metal wire of length L is suspended vertically from a rigid support. When a body of mass Mis attached to the lower end of the wire, the elongation of the wire is l.

    A
    The loss in gravitational potential energy of mass M is Mgl
    B
    The elastic potential energy stored in the wire is Mgl
    C
    The elastic potential energy stored in the wire is `(1)/(2)` Mgl
    D
    Heat produced is `(1)/(2)` Mgl

  • A rod of metal X of length 50.0 cm elongates by 0.10 cm when it is heated from 0^(@)C" to "100^(@)C . Another rod o metal Y of length 80.0 cm elongates by 0.08 cm for the same rise in temperature, A third rod of length 50 cm made by welding pieces of rods X and Y placed end to end, elongates by 0.03 cm when its temperature is raised from 0^(@)C" to "50^(@)C . The coefficients of linear expansion of metal X and of metal Y are in the ratio of

    A
    `2:1`
    B
    `3:2`
    C
    `3:1`
    D
    `4:3`

  • A rod of metal X of length 50.0 cm elongates by 0.10 cm when it is heated from 0^(@)C" to "100^(@)C . Another rod o metal Y of length 80.0 cm elongates by 0.08 cm for the same rise in temperature, A third rod of length 50 cm made by welding pieces of rods X and Y placed end to end, elongates by 0.03 cm when its temperature is raised from 0^(@)C" to "50^(@)C . The length of the rod of metal X in the composite piece is

    A
    10 cm
    B
    20 cm
    C
    30 cm
    D
    40 cm

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    A thin uniform metallic rod of length 0.5m and radius 0.1m rotates with an angular velocity of 400rad//s in a horizontal plane about a vertical axis passing through one of its ends. Calculare tension in the rod and the elongation of the rod. The density of material of the rod is 10^(4)kg//m^(3) and the Young's modulus is 2xx10^(11)N//m^(2) .

    A thin uniform metallic rod of length 0.5 m and radius. 0.1 m rotates with an angular velocity of 400 rad/ in a horizontal plane about a vertical axis passing through one of its ends. Calcualte tension in the rod and the elongation of the rod. The density of material of the rod is 10^(4) kg//m^(3) m and the Young's modulus is 2 xx 10^(11) N//m^(2) .

    A metal wire of negligible mass, length 1 mand cross sectionalaren 10^(-6)m^(2) is kept on a smooth horizontal tabl with one end fixed on the table. A ball of mass 2 kg is attached to the other end of the wire. When the wire and th! ball are rotated with angular velocity of 20 rads, it is found that the wire is elongated by 10^(-3) m. If the Young' modulus of the metal is n xx 10^(11) Nm^(-2) , find the value of n.

    A rod of metal X of length 50.0 cm elongates by 0.10 cm when it is heated from 0^(@)C" to "100^(@)C . Another rod o metal Y of length 80.0 cm elongates by 0.08 cm for the same rise in temperature, A third rod of length 50 cm made by welding pieces of rods X and Y placed end to end, elongates by 0.03 cm when its temperature is raised from 0^(@)C" to "50^(@)C . The length of the rod of metal Y in the composite piece is

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