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Rogelio Darío Gutiérrez Dinámica de Maquinaria

# Ejercicios Del Hibbeler

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### Text of Ejercicios Del Hibbeler Rogelio Darío Gutiérrez Carrillo

Dinámica de Maquinaria Dinámica de Maquinaria

Rogelio Darío Gutiérrez Carrillo

If the collar at A is moving downward with an acceleration aA = {~5k} ft/s2, at the instant its speed is VA = 8 ft/s, determine the velocity and acceleration of the collar at B at this instant.

vA=8ft/s Dinámica de Maquinaria

Rogelio Darío Gutiérrez Carrillo

Cuando la barra AB está en la posición que se muestra, el collarín se mueve a una velocidad de νA = {3i} m s y aceleración de aA = {0.5i} m/s2. Determine la aceleración del collarín B en este instante. Suponga que la velocidad y aceleración angulares de AB son perpen diculares a la barra. Rogelio Darío Gutiérrez Carrillo

La manivela AB se utiliza para convertir movimiento rotacional en traslación del collarín C. La barra BC de 150 mm esta conectada a la manivela y al collarín con juntas de bola y receptáculo. Si la manivela tiene una aceleración angular de 2 rad/s2 partiendo del reposo en la posición que se muestra en la figura, determine la velocidad y la aceleración del collarín.

Dinámica de Maquinaria Rogelio Darío Gutiérrez Carrillo

The rod AC is attached to collars at its ends by ball-and-socket joints. If disk A has an angular velocity of ωA = 10 rad/s, determine the angular velocity of the rod and the velocity of collar B at the instant shown. Assume angular velocity of the rod is directed perpendicular to the rod

Dinámica de Maquinaria Rogelio Darío Gutiérrez Carrillo

At the instant shown, the cab of the excavator is rotating about the z axis with a constant angular velocity of Z = 0.3 rad/s. At the same instant = 60°, and boom OBC has an angular velocity of = 0.6 rad/s, which is increasing at = 0.2 rad/s2, both measured relative the cab. Determine the velocity and acceleration of point C on the grapple at this instant

Dinámica de Maquinaria Rogelio Darío Gutiérrez Carrillo

At the instant shown, the arm OA of the conveyor belt is rotating about the z axis with a constant angular velocity 1= 6 rad/s, while at the same instant the arm is rotating upward at a constant rate 2 = 4 rad/s. If the conveyor is running at a constant rate = 5 ft/s, determine the velocity and acceleration of the package P at the instant shown. Neglect the size of the package.

If the conveyor is running at a rate = 5 ft/s, which is increasing at a = 8 ft/s2, determine the velocity and acceleration of the package P at the instant shown.

Ans vp = -25.5i -13.4j +20.5k ft/s ap = 161i -249j -39.9k ft/s2

Ans vp = -25.5i -13.4j +20.5k ft/s ap = 161i -243j -33.9k ft/s2

Dinámica de Maquinaria Rogelio Darío Gutiérrez Carrillo

At the instant shown, the helicopter is moving upwards with a velocity vh = 4 ft/s and has an acceleration aH = 2 ft/s2. At the same instant the frame H, not the horizontal blade, is rotating about a vertical axis with a constant angular velocity h = 0.9 rad/s. If the tail blade B is rotating with a constant angular velocity b/h = 180 rad/s, measured relative to H, determine the velocity and acceleration of point P, located on the tip of the blade, at the instant the blade is in the vertical position.

Dinámica de Maquinaria Rogelio Darío Gutiérrez Carrillo

At the instant shown, the boom is rotating about the z axis with an angular velocity 1 = 2 rad/s and angular acceleration 1= 0.8 rad/s2. At this same instant the swivel is rotating at 2 = 3 rad/s when 2 = 2 rad/s2, both measured relative to the boom. Determine the velocity and" acceleration of point P on the pipe at this instant.

Ans vp = 2i + 20j m/s ap = -101i -14.8j m/s2

Dinámica de Maquinaria Rogelio Darío Gutiérrez Carrillo

The triangular plate ABC is supported at A by a ball-and-socket joint and at C by the x—z plane. The side AB lies in the x-y plane. At the instant = 60°, = 2 rad/s, = 3 rad/s2, and point C has the coordinates shown. Determine the angular acceleration of the plate and the acceleration of point C at this instant.

Ans ac = 99.6i – 117k ft/s2

= 10.4i + 30j +3k rad/s2

Dinámica de Maquinaria Rogelio Darío Gutiérrez Carrillo

At the instant shown, the industrial manipulator is rotating about the z axis at 1= 5rad/s, and about joint B at 2 = 2 rad/s. Determine the velocity and acceleration of the grip A at this instant, when =30º = 45° and r = 1.6m.

Ans vA = -8.66i + 2.26j + 2.26k m/s aA = -22.6 -47.8j + 4.53k m/s2

Dinámica de Maquinaria Rogelio Darío Gutiérrez Carrillo

At a given instant, the antenna has an angular motion 1= 3 rad/s and 1 = 2 rad/s2 about the z axis. At this same instant = 30°, the angular motion about the x axis is 2 = 1.5 rad/s, and 2 = 4 rad/s2. Determine the velocity and acceleration of the signal horn A at this instant. The distance from O to A is d = 3 ft.

Ans vA = -7.79i -2.25j +3.9k ft/s aA = 8.3i -35.2j + 7.02k ft/s2

Dinámica de Maquinaria Rogelio Darío Gutiérrez Carrillo

Dinámica de Maquinaria ##### Práctica del curso Cálculo Diferencial e Integral · S. Schmidt et al. “Práctica del curso Cálculo Diferencial e Integral. Selección de ejercicios.” Selección de ejercicios.”
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