Vector Mechanics for Engineers: Dynamics-Solution Manual 10th. Edition by Ferdinand Beer, Jr., E. Russell Johnston, Phillip Cornwell | 9780077402327 | 0077402324 | Holooly

Mechanics Dynamics

Vector Mechanics for Engineers: Dynamics-Solution Manual [EXP-4784]

959 SOLVED PROBLEMS

Question: 13.49

(a) A 120-lb woman rides a 15-lb bicycle up a 3-percent slope at a constant speed of 5 ft/s. How much power must be developed by the woman? (b) A 180-lb man on an 18-lb bicycle starts down the same slope and maintains a constant speed of 20 ft/s by braking. How much power is dissipated by the

Verified Answer:

\begin{aligned}\tan \theta & =\frac{3}{...

Question: 13.83

(a) Calculate the work done from D to O by the force P of Problem 13.82 by integrating along the diagonal of the cube. (b) Using the result obtained and the answer to part b of Problem 13.82, verify that the work done by a conservative force around the closed path OABDO is zero.

Verified Answer:

From solution to (a) of Problem 13.82

\math...

Question: 13.85

(a) Determine the kinetic energy per unit mass which a missile must have after being fired from the surface of the earth if it is to to reach an infinite distance from the earth. (b) What is the initial velocity of the missile (called the escape velocity)? Give your answers in SI units and show that

Verified Answer:

At the surface of the earth, ...

Question: 12.119

(a) Express the eccentricity ε of the elliptic orbit described by a satellite about a planet in terms of the distances r0 and r1 corresponding, respectively, to the perigee and apogee of the orbit. (b) Use the result obtained in Part a and the data given in Problem 12.109, where ER = 149.6 × 10^6

Verified Answer:

(a) We have

\quad \quad \quad \frac{1}{r}=\...

A beam AB of mass m and of uniform cross section is suspended from two springs as shown. If spring 2 breaks, determine at that instant (a) the angular acceleration of the bar, (b) the acceleration of Point A, (c) the acceleration of Point B.

Verified Answer:

Statics:

{ T }_{ 1 }={ T }_{ 2 }=\frac { 1 }...

A bolt located 50 mm from the center of an automobile wheel is tightened by applying the couple shown for 0.10 s. Assuming that the wheel is free to rotate and is initially at rest, determine the resulting angular velocity of the wheel. The wheel has a mass of

Verified Answer:

Moment of inertia.

\overline { I } =m{ k }^{...

A drum of 60-mm radius is attached to a disk of 120-mm radius. The disk and drum have a total mass of 6 kg and a combined radius of gyration of 90 mm. A cord is attached as shown and pulled with a force P of magnitude 20 N. Knowing that the disk rolls without sliding,

Verified Answer:

\overline { a } =r\alpha =\left( 0.12m \rig...

A force P of magnitude 3 N is applied to a tape wrapped around a thin hoop of mass 2.4 kg. Knowing that the body rests on a frictionless horizontal surface, determine the acceleration of (a) Point A, (b) Point B.

Verified Answer:

Hoop:

\overline { I } =m{ r }^{ 2 }

...

Question: 11.105

A homeowner uses a snowblower to clear his driveway. Knowing that the snow is discharged at an average angle of 40° with the horizontal, determine the initial velocity ν0 of the snow.

Verified Answer:

First note

\begin{aligned}& \left(\nu_...

Question: 11.173

A particle moves along the spiral shown. Knowing that θ is constant and denoting this constant by,ωdetermine the magnitude of the acceleration of the particle in terms of b, ,θ and .ω

Verified Answer:

Hyperbolic spiral.

r=\frac{b}{\theta}[/late...

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