Question

A steel rod has length 57.9 cm and radius 2.20 cm. An aluminum rod has length 35.3 cm and radius 2.20 cm. The rods are joined end-to-end. When compressive forces of magnitude 5.40 kN are applied to the ends, by how much does the total length of the rods decrease? Young’s modulus of steel is 2.00 × 1011 N/m2 and Young’s modulus of aluminum is 7.00 × 1010 N/m2.

Answer #1

Q3: Tension test was conducted on a mild steel rod having
diameter 1.5 cm and length 20 cm. While applying a load of 10 kN,
there will be an extension of 0.012 cm on a length of 20 cm.
Maximum load carried by the rod was found to be 26 kN and the load
beyond which stress is not proportional to strain was observed to
be 11 kN. When the specimen breaks, the extension of the rod for 20
cm...

A copper (Young's modulus 1.1 x 1011 N/m2)
cylinder and a brass (Young's modulus 9.0 x 1010
N/m2) cylinder are stacked end to end, as in the
drawing. Each cylinder has a radius of 0.28 cm. A compressive force
of F = 8300 N is applied to the right end of the brass
cylinder. Find the amount by which the length of the stack
decreases.

A copper (Young's modulus 1.1 x 1011 N/m2) cylinder and a brass
(Young's modulus 9.0 x 1010 N/m2) cylinder are stacked end to end,
as in the drawing. Each cylinder has a radius of 0.20 cm. A
compressive force of F = 9700 N is applied to the right end of the
brass cylinder. Find the amount by which the length of the stack
decreases.

Two metal rods of equal length-one aluminum, the other stainless
steel-are connected in parallel with a temperature of 10.0 ∘C at
one end and 122 ∘C at the other end. Both rods have a circular
cross section with a diameter of 7.00 cm Part A Determine the
length the rods must have if the combined rate of heat flow through
them is to be 17.5 J per second. Express your answer using two
significant figures.

THE BUBBLE MOMENT
A physical pendulum is composed a rod of length 26 cm and radius
3.2 cm suspended downward from one of its ends. At the bottom, free
end, there is a large, circular bubble of the same radius as the
rod so that it is wholly within the rod, but as far towards the
bottom as possible.
(a) If the rod has a density of 9 g/cm3, what is its
mass?
(b) Find its center of mass if...

1. Steel has α=12.1E-6 1/°C and Y=201E9 Pa. A steel rod has a
length of 3.45 m and a radius of 1.11 cm. What change in
temperature is needed to create a force of 669 N?

A long, straight metal rod has a radius of 4.20 cm and a charge
per unit length of 34.4 nC/m. Find the electric field at the
following distances from the axis of the rod, where distances are
measured perpendicular to the rod's axis.
(a) 2.00 cm
magnitude
N/C
direction
---Select--- inward outward magnitude is zero
(b) 14.0 cm
magnitude
N/C
direction
---Select--- inward outward magnitude is zero
(c) 140 cm
magnitude
N/C
direction
---Select--- inward outward magnitude is zero

12.2 A steel wire has density ? = 7800 kg/m3 , radius 0.80 mm,
and length 90.0 cm. A constant tension of 2.50 x 103 N is applied
to the wire, and both ends are fixed.
(a) What is the fundamental frequency of the wire?
(b) Where should you pluck the wire to achieve the 5th harmonic,
and what is its frequency?
(c) What length of pipe closed at one end would have the same
fundamental frequency as the wire...

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