Question

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?

Answer #1

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

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 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 =

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.)

A 8.0-cm-long spring is attached to the ceiling. When a 2.5 kg
mass is hung from it, the spring stretches to a length of 17 cm
.
1. What is the spring constant k?
2. How long is the spring when a 3.0 kg mass is suspended from
it?

Consider a straight piece of copper wire of length 7 m and
diameter 3.5 mm that carries a current I = 5.5 A. There is a
magnetic field of magnitude B directed perpendicular to the wire,
and the magnetic force on the wire is just strong enough to
“levitate” the wire (i.e., the magnetic force on the wire is equal
to its weight). Find B. Hint: The density of copper is 9000
kg/m3 .

An attached copper wire of diameter 0.7348 cm stretches by 1%
when a load is applied to it. Find the force applied (F=?$). Note
that one can find Young's modulus on the internet or in the
textbook.

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.

2. Suppose a piano tuner stretches a steel piano wire 6.5
mm.
The wire was originally 0.825 mm in diameter, 1.43 m long, and has
a Young's modulus of 2.10x1011 N/m2.
Calculate the force a piano tuner applies to stretch the steel
piano wire in Newtons.
F=__________
3. Suppose a 66-kg mountain climber has a 0.86 cm diameter nylon
rope.
By how much does the mountain climber stretch her rope, in
centimeters, when she hangs 43 m below a rock...

A helical compression spring is made from music wire that is
1.04 mm in diameter and has an outer coil diameter of 13.74 mm with
a free length of 50.8 mm and 10 total coils with plain ends.
What is the solid length Ls?
What is the spring rate k in N/m ?
If the spring rate is 1000 N/m what is the maximum shear stress,
tau , in the wire when the spring is compressed 25.4 mm from its...

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