Question

A metal wire 1.0 m long and of 2.0 mm diameter is stretched by a load of 40.0 kg. the extension produced on the wire is 1.5mm.

What is the stress?

What is the strain?

Young's modulus of elasticity?

The energy stored in the Wire.

The Force constant

Answer #1

A student is testing a 1.0 m length of 2.0-mm-diameter steel
wire.
Part A How much force is required to stretch this wire by 1.0
mm? Young's modulus for steel is 20×1010N/m2. Express your answer
to two significant figures and include the appropriate units.
F=
Part B What length of 4.0-mm-diameter wire would be stretched by
1.0 mm by this force? Express your answer to two significant
figures and include the appropriate units.
L2 =

7. An aluminum wire 1.0 m in length and 2.0 mm in diameter
supports a 10.0-kg mass. What is the elongation of the wire? (The
Young's modulus for an aluminum is 7.0 × 1010 N/m2)
3. Two equal forces are applied to a door. The first force is
applied at the midpoint of the door; the second force is applied at
the doorknob. Both forces are applied perpendicular to the door.
Which force exerts the less torque?

A wire of diameter 1.0 mm and length 3.5 m stretches 3.5 mm when
8.0 kg is hung from it.
a) What is the Young's modulus for the wire?
b) What is the effective spring constant for the stretching
wire?

What hanging mass will stretch a 2.4-m-long, 0.49 mm - diameter
steel wire by 1.5 mm ? The Young's modulus of steel is
20×10^10N/m^2
Express your answer in kilograms.

Problem. A cylindrical specimen of a hypothetical metal having a
diameter of 7.671 mm and a gauge length of 251.905 mm is pulled in
tension. Use the load–elongation characteristics shown in the
following table to complete parts (a) through (f).
(a) Plot the data as stress (MPa) versus strain
(b) Compute the modulus of elasticity in GPa
(c) Determine the yield strength at a strain offset of 0.002
(d) Determine the tensile strength of this alloy
(e) What is the...

Please show work
Find the minimum diameter of an l = 19.4 m long copper wire that
will stretch no more than 9.98 mm when a mass of 300 kg is hung on
the lower end. (Hint: The Young's modulus of copper is 110.0
GPa.)

An 9.26-kg stone at the end of a steel (Young's modulus 2.0 x
1011 N/m2) wire is being whirled in a circle at a constant
tangential speed of 17.7 m/s. The stone is moving on the surface of
a frictionless horizontal table. The wire is 4.66 m long and has a
radius of 2.01 x 10-3 m. Find the strain in the wire.

A hollow circular steel column 2m long and outer diameter 200
mm carries an axial load of 325 kN. If the compressive stress is
150 MPa, lateral strain for external diameter is is 0.000325 and
Poisson’s ratio is 0.3, find the minimum wall thickness required
for the column. Also calculate the shear modulus for the material
of the column. Take E = 210 GPa.

A metal rod that has a diameter of 1.0 cm and a length of 0.75 m
is stretched by 2.5 mm when subjected to a force of 115 kN
(kilonewtons). Assuming that it remains in its elastic region, how
much work would it take to compress this rod by 5.0 mm?

An iron wire of 10 m long with a cross section area of 2.0
mm2 is used to support a 400-kg load. Its
elongation is (in mm) (a)
1.5 (b)
9.8 ( c)
15.8 (d) 37.9 ΔL/Lo
=(F/A)/Y
A wire 10 m long with a cross section area of 3 mm2 stretches
by 12 mm when a 500-kg mass was suspended from it. The
Young’s modulus for this wire is (in Pa)
(a)
1.5 (b)
9.8 ( c)
15.8 (d)
37.9 Y
= (F/A)/(ΔL/Lo)
When a pressure of 3 MPa is...

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