Two long metallic strips are joined together by two rivet each of radius 2 . 0 mm (see figure). Each rivet can withstand maximum shearing stress of 1 . 5 × 10 9 Pa . What is the maximum tensile force that the strip can exert, assuming each rivet shares the stretching load equally?

Given, Radius of rivet is, r = 2 . 0 mm Maximum shearing stress is, τ = 1 . 5 × 10 9 Pa Let us assume F is the maximum shearing force a rivet can sustain, then maximum tensile force strip can withstand is T = 2 F , as it has two rivets. From the definition of shear stress, we have τ = F A = F π r 2 , where A = π r 2 is the cross-sectional area. Putting all the corresponding values in above relation, we have ⇒ 1 . 5 × 10 9 = F π × 2 × 10 - 3 2 ⇒ F = 1 . 5 × 10 9 × π × 2 × 10 - 3 2 = 18 . 85 × 10 3 N ⇒ T = 2 × 18 . 85 × 10 3 = 37 . 70 × 10 3 N

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A metal wire of length $L,$ area of cross-section $A$ and young's modulus $Y$ is stretched by a variable force $F$ such that $F$ is always slightly greater than the elastic forces of resistance in the wire. When the elongation of the wire is $l$

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Alpha Question Bank for Engineering: Physics>Chapter 12 - Elasticity>Exercise - 2>Q 18

Two plates of the same mass are attached rigidly to the two ends of a spring as shown in the figure. One of the plates rests on a horizontal surface and the other results a compression $y$ of the spring when it is in an equilibrium state. The further minimum compression required, so that after the force causing compression is removed the lower plate is lifted off the surface, will be,

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Alpha Question Bank for Engineering: Physics>Chapter 12 - Elasticity>Exercise - 3>Q 1

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

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Alpha Question Bank for Engineering: Physics>Chapter 12 - Elasticity>Exercise - 3>Q 2

In plotting stress versus strain curves for the materials $P$ and $Q$ , a student by mistake puts strain on the y-axis and stress on the $x -$ axis as shown in the figure. Then the correct statement(s) is(are)

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Alpha Question Bank for Engineering: Physics>Chapter 12 - Elasticity>Exercise - 3>Q 4

A wire elongates by

l mm

when a load

W

is hanged from it. If the wire goes over a pulley and two weights

W

each are hung at the two ends, the elongation of the wire will be (in

mm

)

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Alpha Question Bank for Engineering: Physics>Chapter 12 - Elasticity>Exercise - 3>Q 5

Two wires are made of the same material and have the same volume. However, wire

1

has cross-sectional area

A

and wire

2

has cross-sectional area

3 A

. If the length of wire

1

increases by

∆ x

on applying force

F

, how much force is needed to stretch wire

2

by the same amount?

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Alpha Question Bank for Engineering: Physics>Chapter 12 - Elasticity>Exercise - 3>Q 6

The pressure that has to be applied to the ends of a steel wire of length

10 cm

to keep its length constant when its temperature is raised by

100 ° C

is : (For steel Young’s modulus is

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

and coefficient of thermal expansion is

1.1 \times 10^{5} K^{- 1}

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Alpha Question Bank for Engineering: Physics>Chapter 12 - Elasticity>Exercise - 4>Q 1

A wire loaded by weight of density

7.6 g {cm}^{- 3}

is found to measure

90 cm

. On immersing the weight in water, the length decreases by

0.18 cm

. Find the original length of the wire.

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Alpha Question Bank for Engineering: Physics>Chapter 12 - Elasticity>Exercise - 4>Q 2

Two long metallic strips are joined together by two rivet each of radius $2.0 mm$ (see figure). Each rivet can withstand maximum shearing stress of $1.5 \times 10^{9} Pa$ . What is the maximum tensile force that the strip can exert, assuming each rivet shares the stretching load equally?

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A metal wire of length L,area of cross-section A and young's modulus Y is stretched by a variable force F such that F is always slightly greater than the elastic forces of resistance in the wire. When the elongation of the wire is l

Important Questions on Elasticity

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A metal wire of length $L,$ area of cross-section $A$ and young's modulus $Y$ is stretched by a variable force $F$ such that $F$ is always slightly greater than the elastic forces of resistance in the wire. When the elongation of the wire is $l$