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What are the types of deformation

Important Questions on Mechanical Properties of Solids

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Physics>Mechanics>Mechanical Properties of Solids>Deformation and Elastic Behaviour of Solids

Two separate wires

A

and

B

are stretched by

2 mm

and

4 mm

respectively, when they are subjected to a force of

2 N .

Assume that both the wires are made up of same material and the radius of wire

B

4

times that of the radius of wire

A .

The length of the wires

A

and

B

are in the ratio of

a : b .

Then

\frac{a}{b}

can be expressed as

\frac{1}{x}

, where

x

is _____.

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Physics>Mechanics>Mechanical Properties of Solids>Deformation and Elastic Behaviour of Solids

With rise in temperature, young's modulus of elasticity _________.

MEDIUM

Physics>Mechanics>Mechanical Properties of Solids>Deformation and Elastic Behaviour of Solids

Speed of a transverse wave on a straight wire (mass

6.0 g,

length

60 c m

and area of cross-section

1.0 m m^{2}

90 {m s}^{- 1}

. If the Young's modulus of wire is

16 \times 10^{11} N m^{- 2}

, the extension of wire over its natural length is:

MEDIUM

Physics>Mechanics>Mechanical Properties of Solids>Deformation and Elastic Behaviour of Solids

A particle of mass

1 kg

is moving in SHM with a path length of

0.01 m

and frequency of

50 Hz

. The maximum force in newton, acting on the particle is

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Physics>Mechanics>Mechanical Properties of Solids>Deformation and Elastic Behaviour of Solids

A constant force is applied to a metal wire of length

L

. Volume of the wire is constant. The extension produced is proportional to

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Physics>Mechanics>Mechanical Properties of Solids>Deformation and Elastic Behaviour of Solids

A steel wire of cross-sectional area

4 {cm}^{2}

has elastic limit of

2.2 \times 10^{8} N m^{- 2}

. The maximum upward acceleration that can be given to a

1000 kg

elevator supported by this steel wire if the stress is to exceed one-fourth of the elastic limit is [Take,

g = 10 m s^{- 2}

]

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Physics>Mechanics>Mechanical Properties of Solids>Deformation and Elastic Behaviour of Solids

One end of a horizontal thick copper wire of length

2 L

and radius

2 R

is welded to an end of another horizontal thin copper wire of length

L

and radius

R

. When the arrangement stretched by applying forces at two ends, the ratio of the elongation in the thin wire to that in the thick wire is

MEDIUM

Physics>Mechanics>Mechanical Properties of Solids>Deformation and Elastic Behaviour of Solids

If Young's modulus of elasticity Y for a material is one and half times its rigidity coefficient $η,$ the Poisson's ratio $σ$ will be

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Physics>Mechanics>Mechanical Properties of Solids>Deformation and Elastic Behaviour of Solids

Increase in temperature of the material causes _________ in elasticity.

MEDIUM

Physics>Mechanics>Mechanical Properties of Solids>Deformation and Elastic Behaviour of Solids

In the figure three identical springs are shown. From spring

A

, a mass of

4 kg

is hung and spring shows elongation of

1 cm

. But when a weight of

6 kg

is hung on

B

, the hook descends

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Physics>Mechanics>Mechanical Properties of Solids>Deformation and Elastic Behaviour of Solids

For a given material, the Young's modulus is 2.4 times that of rigidity modulus. Its Poisson's ratio is

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Physics>Mechanics>Mechanical Properties of Solids>Deformation and Elastic Behaviour of Solids

Identify the incorrect statement.

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Physics>Mechanics>Mechanical Properties of Solids>Deformation and Elastic Behaviour of Solids

The breaking force for a wire is $F$ . What will be the breaking force for a single wire of double the thickness?

MEDIUM

Physics>Mechanics>Mechanical Properties of Solids>Deformation and Elastic Behaviour of Solids

A spring of constant

k

is cut into parts of length in the ratio

1 : 2

. The spring constant of larger on is

MEDIUM

Physics>Mechanics>Mechanical Properties of Solids>Deformation and Elastic Behaviour of Solids

One end of wire

2 m

long and diameter

2 mm

is fixed in a ceiling. A naughty boy of mass

10 kg

jumps to catch the free end and stays there. The change in length of wire is [Take

g = 10 m s^{- 2}, Y = 2 \times 10^{11} N m^{- 2}

]

HARD

Physics>Mechanics>Mechanical Properties of Solids>Deformation and Elastic Behaviour of Solids

A composite wire of uniform diameter 3.0 mm consists of a copper wire of length 2.2 m and a steel wire of length 1.6 m which is stretched under a load by 0.7 mm. Calculate the load, given that the Young's modulus for copper is 1.1 × 10¹¹ Nm^–2 and that for steel is 2 × 10¹¹ Nm^–2.

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Physics>Mechanics>Mechanical Properties of Solids>Deformation and Elastic Behaviour of Solids

Two wires, one made of copper and other of steel are joined end to end (as shown in figure). The area of cross section of copper wire is twice that of steel wire. They are placed under compressive force of magnitudes

F

. Find the ratio of their lengths such that change in lengths of both wires are same (

Y_{S} = 2 \times 10^{11} N m^{- 2}

and

Y_{C} = 1.1 \times 10^{11} N m^{- 2}

)

HARD

Physics>Mechanics>Mechanical Properties of Solids>Deformation and Elastic Behaviour of Solids

The graph drawn between change in length and varying load

W

is a straight line starting from origin. Cross-sectional area of the wire is

10^{- 6} m^{2}

. Slope of the curve is

\frac{1 0^{- 4}}{20}

. Young's modulus will be -

(Given: length of the rod = 1 m)

MEDIUM

Physics>Mechanics>Mechanical Properties of Solids>Deformation and Elastic Behaviour of Solids

In the figure three identical springs are shown. From spring $A$ , a mass of $4 kg$ is hung and spring shows elongation of $1 cm$ . But when a weight of $6 kg$ is hung on $B$ , the Hook descends

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MEDIUM

Physics>Mechanics>Mechanical Properties of Solids>Deformation and Elastic Behaviour of Solids

The breaking force for a wire is $F$ . what will be the breaking force for two parallel wires of the same size

What are the types of deformation

Important Questions on Mechanical Properties of Solids

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