If the total charge on a thin rod of length 0.4 m is 2.5 nC, what is the magnitude of the electric field at a location 1 cm from the midpoint of the rod, perpendicular to the rod?

A man strikes one end of a thin rod with a hammer. The speed of sound in the rod is 15 times the speed of sound in air. A woman, at the other end with her ear close to the rod, hears the sound of the blow twice with a 60 ms interval between; one sound comes through the rod and the other comes through the air alongside the rod. If the speed of sound in air is 343 m/s, what is the length of the rod?

Consider the rod of length $L$ shown in the figure. The mass of the rod is $m=2.00 \mathrm{~kg}$, and the pivot point is located at the left end (at $x=0)$. In order to prevent the rod from rotating, a variable force given by $F(x)=(15.0 \mathrm{~N})(x / L)^4$ is applied to the rod. At what point $x$ on the rod should the force be applied in order to keep it from rotating?

Consider a rod of length $L$, mounted in the center to a support. A node must exist where the rod is mounted on a support, as shown below. Draw the first two normal modes of the rod as it is driven into resonance. Label the wavelength and the frequency required to drive the rod into resonance.

An aluminum $[E=10,000 \mathrm{ksi}]$ control rod with a circular cross section must not stretch more than $0.25$ in. when the tension in the rod is $2,200 \mathrm{lb}$. If the maximum allowable normal stress in the rod is $12 \mathrm{ksi}$, determine (a) the smallest diameter that can be used for the rod. (b) the corresponding maximum length of the rod.

In a model, two metal balls are attached to the endpoints of a metal rod. The rod is attached to a machine at its center point. The machine spins the rod so that the balls move in a circle modeled by the equation $x^{2}+y^{2}=144$. Find the length of the rod.

The linear expansion of a rod depends on which of the following? (a) The length of the rod. (b) The change in temperature of the rod. $(c)$ The type of material. (d) All of the above. (e) Both $(b)$ and $(c)$.

A $1.0 \mathrm{~cm}$ diameter rod carries a $50 \mathrm{~A}$ current when the electric field in the rod is $1.4 \mathrm{~V} / \mathrm{m}$. What's the resistivity of the rod material?

The $6\text{-lb}$ slender $\operatorname{rod} A B$ is released from rest when it is in the horizontal position so that it begins to rotate clockwise. A $1\text{-lb}$ ball is thrown at the rod with a velocity $v=50 \mathrm{ft} / \mathrm{s}$. The ball strikes the rod at $C$ at the instant the rod is in the vertical position as shown. Determine the angular velocity of the rod just after the impact. Take $e=0.7$ and $d= AC= 2 \mathrm{ft}$. The length of rod $AB$ is $3\text{ ft}$ and assume rod is pinned at point $A$.

Give density functions of thin rod lying along various interval of the x-axis. Use Equations (3a) through (3c) to find the rod's moment about the origin, mass, and center of mass.

$\delta(x)=4, \quad 1 \leq x \leq 3$

Figure mentioned showed a thin rod of length $L$ and charge $Q$. Find an expression for the electric potential a distance $z$ away from the center of rod on the line that bisects the rod.

Consider the rod of length $L$ shown in the figure. The mass of the rod is $m=2.00 \mathrm{~kg}$, and the pivot point is located at the left end (at $x=0$ ). In order to prevent the rod from rotating, a variable force given by $F(x)=(15.0 \mathrm{~N})(x / L)^4$ is applied to the rod. At what point $x$ on the rod should the force be applied in order to keep it from rotating?

A lead rod and a common glass rod both have the same length when at

$$20.0 ^ { \circ } \mathrm { C }$$

. The lead rod is heated to

$$50.0 ^ { \circ } C$$

To what temperatures must the glass rod be haated so that they are again at the same length?

A horizontal rod $0.200 \mathrm{~m}$ long carries a current through a uniform horizontal magnetic field of magnitude $0.067 \mathrm{~T}$ that points perpendicular to the rod. If the magnetic force on this rod is measured to be $0.13 \mathrm{~N}$, what is the current flowing through the rod?