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Willie Schmitt

Willie S.

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ANSWERED

Umar Sohail Qureshi verified

Numerade educator

The lid of a roof scuttle weighs 75 lb. It is hinged at corners $A$ and $B$ and maintained in the desired position by a rod $C D$ pivoted at $C$. A pin at end $D$ of the rod fits into one of several holes drilled in the edge of the lid. For $\alpha=50^{\circ},$ determine $(a)$ the magnitude of the force exerted by rod $C D,(b)$ the reactions at the hinges. Assume that the hinge at $B$ does not exert any axial thrust.

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Are some cities more windy than others? Does Chicago deserve to be nicknamed "The Windy City"? Given below are the average wind speeds (in miles per hour) for 45 selected U.S. cities: $$\begin{array}{rrrrrrrrr} 8.9 & 12.4 & 8.6 & 11.3 & 9.2 & 8.8 & 35.1 & 6.2 & .07 \\ 7.1 & 11.8 & 10.7 & 7.6 & 9.1 & 9.2 & 8.2 & 9.0 & 8.7 \\ 9.1 & 10.9 & 10.3 & 9.6 & 7.8 & 11.5 & 9.3 & 7.9 & 8.8 \\ 8.8 & 12.7 & 8.4 & 7.8 & 5.7 & 10.5 & 10.5 & 9.6 & 8.9 \\ 10.2 & 10.3 & 7.7 & 10.6 & 8.3 & 8.8 & 9.5 & 8.8 & 9.4 \end{array}$$.a. Construct a relative frequency histogram for these data. (Choose the class boundaries without including the value 35.1 in the range of values.) b. The value 35.1 was recorded at $\mathrm{Mt}$. Washington, New Hampshire. Does the geography of that city explain the magnitude of its average wind speed? c. The average wind speed for Chicago is 10.3 miles per hour. What percentage of the cities have average wind speeds in excess of Chicago's? d. Do you think that Chicago is unusually windy?

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ANSWERED

Hubert Agamasu verified

Numerade educator

A 25-kg object is being lifted by two people pulling on the ends of a 1.15-mm-diameter nylon cord that goes over two 3.00-m-high poles 4.0 m apart, as shown in Fig. 9-86. How high above the floor will the object be when the cord breaks?

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Satyam Gupta verified

Numerade educator

Show that $x-1$ is a factor of a polynomial $P$ of positive degree if and only if the sum of the coefficients of $P$ is zero.

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ANSWERED

Umar Sohail Qureshi verified

Numerade educator

Figure $30-78$ shows a wire that has been bent into a circular arc of radius $r=24.0 \mathrm{cm},$ centered at $O .$ A straight wire $O P$ can be rotated about $O$ and makes sliding contact with the arc at $P$ . Another straight wire $O Q$ completes the conducting loop. The three wires have cross-sectional area 1.20 $\mathrm{mm}^{2}$ and resistivity $1.70 \times 10^{-8} \Omega \cdot \mathrm{m},$ and the apparatus lies in a uniform magnetic field of magnitude $B=0.150 \mathrm{T}$ directed out of the figure. Wire $O P$ begins from rest at angle $\theta=0$ and has constant angular acceleration of 12 rad/s? As functions of $\theta$ (in rad), find (a) the loop's resistance and (b) the magnetic flux through the loop.(c) For what $\theta$ is the induced current maximum and (d) what is that maximum?

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ANSWERED

Ashwin Banarsee verified

Numerade educator

A test driver at Incredible Motors, Inc., is testing a new model car having a speedometer calibrated to read m/s rather than mi/h. The following series of speedometer readings was obtained during a test run: $$\begin{array}{llllllllll}{\text { Time (s) }} & {0} & {2} & {4} & {6} & {8} & {10} & {12} & {14} & {16} \\ {\text { Velocity }(\mathrm{m} / \mathrm{s})} & {0} & {0} & {2} & {5} & {10} & {15} & {20} & {22} & {22}\end{array}$$ (a) Compute the average acceleration during each 2 s interval. Is the acceleration constant? Is it constant during any part of the test run? (b) Make a velocity-time graph of the data shown, using scales of $1 \mathrm{cm}=1$ s horizontally and $1 \mathrm{cm}=$ 2 $\mathrm{m} / \mathrm{s}$ vertically. Draw a smooth curve through the plotted points. By measuring the slope of your curve, find the magnitude of the instantaneous acceleration at times $t=9 \mathrm{s}, 13 \mathrm{s}$ and 15 $\mathrm{s}$ .

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ANSWERED

Umar Sohail Qureshi verified

Numerade educator

Suppose the electric field between the plates in Fig. 27.24 is 1.88 $\times$ 10$4^$ V/m and the magnetic field in both regions is 0.682 T. If the source contains the three isotopes of krypton, $^{82}$Kr, $^{84}$Kr, and $^{86}$Kr, and the ions are singly charged, find the distance between the lines formed by the three isotopes on the particle detector. Assume the atomic masses of the isotopes (in atomic mass units) are equal to their mass numbers, 82, 84, and 86. (One atomic mass unit = 1 u = 1.66 $\times$ 10$^{-27}$ kg.)

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ANSWERED

Hubert Agamasu verified

Numerade educator

To start an avalanche on a mountain slope, an artillery shell is fired with an initial velocity of 300 $\mathrm{m} / \mathrm{s}$ at $55.0^{\circ}$ above the horizontal. It explodes on the mountainside 42.0 $\mathrm{s}$ after firing. What are the $x$ and $y$ coordinates of the shell where it explodes, relative to its firing point?

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ANSWERED

Ameryr Rawa verified

Numerade educator

(a) If $f$ is a one-to-one, twice differentiable function with inverse function $g,$ show that $$g^{\prime \prime}(x)=-\frac{f^{\prime \prime}(g(x))}{\left[f^{\prime}(g(x))\right]^{3}}$$ (b) Deduce that if $f$ is increasing and concave upward, then its inverse function is concave downward.

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ANSWERED

Linda Hand verified

Numerade educator

Find an equation of the plane with $x$ -intercept $a, y$ -intercept $b,$ and $z$ -intercept $c .$

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