Momentos de inercia de formas 
geométricas comunes 
Rectángulo 
Triángulo 
Círculo 
Semicírculo 
Cuarto de círculo 
Elipse...
MECÁNICA VECTORIAL 
PARA INGENIEROS 
Dinámica
REVISIÓN TÉCNICA 
ARGENTINA 
Ricardo Bosco Universidad Tecnológica Nacional, Buenos Aires 
COLOMBIA 
Carlos Eduardo Muñoz ...
Novena edición 
MECÁNICA VECTORIAL 
PARA INGENIEROS 
Dinámica 
FERDINAND P. BEER (finado) 
Late of Lehigh University 
E. R...
Director Higher Education: Miguel Ángel Toledo Castellanos 
Editor sponsor: Pablo E. Roig Vázquez 
Coordinadora editorial:...
Acerca de los autores 
Los autores de esta obra con frecuencia son cuestionados acerca de có-mo 
fue que, estando uno en L...
división de mecánica de esa misma asociación. A partir de 2001, el recono-cimiento 
denominado New Mechanics Educator Awar...
Contenido 
Prefacio xiv 
Agradecimientos xx 
Lista de símbolos xxi 
11 
CINEMÁTICA DE PARTÍCULAS 
601 
11.1 Introducción a...
12.4 Sistemas de unidades 695 
12.5 Ecuaciones de movimiento 697 
12.6 Equilibrio dinámico 699 
12.7 Cantidad de movimient...
14.4 Movimiento del centro de masa de un sistema 
de partículas 864 
14.5 Cantidad de movimiento angular de un sistema de ...
16.3 Cantidad de movimiento angular de un cuerpo rígido en 
movimiento plano 1032 
16.4 Movimiento plano de un cuerpo rígi...
*18.11 Movimiento de un cuerpo simétrico con respecto a un eje y que 
no se somete a ninguna fuerza 1190 
Repaso y resumen...
Prefacio 
OBJETIVOS 
El objetivo principal de un primer curso de mecánica debe ser desa-rrollar 
en el estudiante de ingen...
• En Dinámica se observa la misma división. Se introducen los con-ceptos 
básicos de fuerza, masa y aceleración, de trabaj...
miento más conciso y unificado de la cinética de cuerpos rígidos en dos 
y tres dimensiones (capítulos 16 a 18). 
Se emple...
se adecuará mejor a las necesidades de los estudiantes, quienes, como Prefacio xvii 
ingenieros, tendrán que dominar los d...
ORGANIZACIÓN DE LOS CAPÍTULOS Y CARACTERÍSTICAS 
PEDAGÓGICAS 
Introducción del capítulo. Cada capítulo comienza con una in...
Problemas de computadora. Cada capítulo incluye un grupo Prefacio xix 
de problemas diseñados para ser resueltos mediante ...
xx Prefacio AGRADECIMIENTOS 
Los autores desean agradecer de manera especial a Dean Updike, de 
Lehigh University, quien v...
xxi 
Lista de símbolos 
a, a Aceleración 
a Constante; radio; distancia; eje semimayor de la elipse 
a, a Aceleración del ...
N Componente normal de la reacción 
O Origen de coordenadas 
P Fuerza; vector 
˙P 
Razón de cambio del vector P con respec...
Ángulo de fricción; ángulo euleriano; ángulo de fase; ángulo 

 Diferencia de fase 
 Ángulo euleriano 
,  Velocidad angula...
El movimiento del transbordador espacial 
se describe en términos de su posición, 
velocidad y aceleración. Al aterrizar, ...
CAPÍTULO11 
Cinemática de partículas 
601
602 
11.1. INTRODUCCIÓN A LA DINÁMICA 
Los capítulos 1 al 10 se dedicaron a la estática, esto es, al análisis de los 
cuer...
caciones en las que el movimiento de una partícula se define median- 11.2. Posición, velocidad y aceleración 603 
te las c...
604 Cinemática de partículas Si se usan unidades del SI, x se expresa en metros y t en segundos, 
la velocidad promedio se...
La aceleración instantánea se expresa también en m/s2 o ft/s2. El lími- 11.2. Posición, velocidad y aceleración 605 
te de...
606 Cinemática de partículas Ejemplo. Considere la partícula que se mueve en una línea recta 
y suponga que su posición es...
11.3. Determinación del movimiento 607 
de una partícula 11.3. DETERMINACIÓN DEL MOVIMIENTO 
DE UNA PARTÍCULA 
En la secci...
608 Cinemática de partículas recho respecto a t desde t  0 hasta t  t. La coordenada de 
la posición x se obtiene de ese m...
PROBLEMA RESUELTO 11.1 
La posición de una partícula que se mueve a lo largo de una línea recta está 
definida por la rela...
PROBLEMA RESUELTO 11.2 
Una pelota se lanza con una velocidad de 10 m/s dirigida verticalmente hacia 
arriba desde una ven...
PROBLEMA RESUELTO 11.3 
El mecanismo de freno que se usa para reducir el retroceso en ciertos tipos 
de cañones consiste e...
RESOLUCIÓN DE PROBLEMAS 
EN FORMA INDEPENDIENTE 
En los problemas de esta lección se pide determinar la posición, la veloc...
613 
Problemas† 
11.1 El movimiento de una partícula está definido por la relación 
x  1.5t4 – 30t2  5t  10, donde x y t s...
614 Cinemática de partículas 11.10 La aceleración de una partícula es directamente proporcional 
al cuadrado del tiempo t....
11.20 Con base en observaciones experimentales, la aceleración de 
una partícula está definida por la relación a  (0.1  se...
616 Cinemática de partículas 11.29 La aceleración debida a la gravedad a una altura y sobre la su-perficie 
de la Tierra p...
). Si se denota la velocidad y la posición de la corredera 
en t  0 con v0 y x0, respectivamente, y se sabe que el desplaz...
11.5. MOVIMIENTO RECTILÍNEO UNIFORMEMENTE 
ACELERADO 
El movimiento rectilíneo uniformemente acelerado es otro tipo común ...
618 Cinemática de partículas relaciona a x y t; la ecuación (11.8) relaciona a v y x. Una aplicación 
importante del movim...
caso se dice que los movimientos son dependientes. Por ejemplo, la 
posición del bloque B en la figura 11.8 depende de la ...
PROBLEMA RESUELTO 11.4 
Una pelota se lanza verticalmente hacia arriba desde una altura de 12 metros 
en el pozo de un ele...
PROBLEMA RESUELTO 11.5 
El collarín A y el bloque B están conectados por medio de un cable que pasa 
por tres poleas C, D ...
RESOLUCIÓN DE PROBLEMAS 
EN FORMA INDEPENDIENTE 
En esta lección se obtuvieron las ecuaciones que describen el movimiento ...
B. Movimiento dependiente de dos o más partículas. En problemas de este tipo 
las partículas del sistema están conectadas ...
Problemas 
11.33 Una automovilista entra a una carretera a 45 km/h y acelera 
uniformemente hasta 99 km/h. De acuerdo con ...
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Mecanica vectorial-para-ingenieros-dinamica 9na-ed-beer-and-johnston
Mecanica vectorial-para-ingenieros-dinamica 9na-ed-beer-and-johnston
Mecanica vectorial-para-ingenieros-dinamica 9na-ed-beer-and-johnston
Mecanica vectorial-para-ingenieros-dinamica 9na-ed-beer-and-johnston
Mecanica vectorial-para-ingenieros-dinamica 9na-ed-beer-and-johnston
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