Engineering Mechanics: Dynamics (14th Edition)
14th Edition
ISBN: 9780133915389
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 21.4, Problem 43P
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4. The uniform slender rod has a mass m= 20 kg and length L = 0.5 m. As the frame accelerates forward the rod
is held in the position shown at a steady angle 0 = tan (3/4) by the stop at A. Determine the magnitude of the reaction force
at stop A if the acceleration is a = 6 m/s.
A =
a
L.
A
At the instant shown, link CD rotates with an angular velocity of @, = 8
rad/s. If link CD is subjected to a couple moment of M= 650 lb- ft, determine the
force developed in link AB and the angular acceleration of the links at this instant.
Neglect the weight of the links and the platform. The crate weighs 100 lb and is
fully secured on the platform.
1 ft
4 ft
@CD = 8 rad/s
M = 650 lb-ft
- 3 ft
2. Consider the 5-1lb bar with length of 2½ feet and width of 2 inches. Small frictionless bearings are
mounted to the ends, constraining the motion of the bar to the horizontal x and y slots. The bar starts
at rest at positioned at 0= 45°. If an angular acceleration of 3 rad/s² is desired, what moment M must
be applied to the bar? What are the reaction forces at A and B at that instant?
Additional question: Does the width of the bar matter, or is
it appropriate to consider the bar as a slender rod?
Consider errors of less than 2% negligible.
Chapter 21 Solutions
Engineering Mechanics: Dynamics (14th Edition)
Ch. 21.1 - Show that the sum of the moments of inertia of a...Ch. 21.1 - Determine the moment of inertia of the cone with...Ch. 21.1 - Determine moment of inertia Iy of the solid formed...Ch. 21.1 - Determine the moments of inertia Ix and Iy of the...Ch. 21.1 - The density of the material is . Express the...Ch. 21.1 - Prob. 6PCh. 21.1 - Prob. 7PCh. 21.1 - Prob. 8PCh. 21.1 - The weight of the cone is 15 lb, the height is h =...Ch. 21.1 - The density of the material is .
Ch. 21.1 - Prob. 11PCh. 21.1 - Determine the moment of inertia Ixx of the...Ch. 21.1 - Determine the product of inertia Iyz of the...Ch. 21.1 - Prob. 14PCh. 21.1 - Prob. 15PCh. 21.1 - Determine the moment of inertia of the rod about...Ch. 21.1 - Prob. 17PCh. 21.1 - Prob. 18PCh. 21.1 - Prob. 19PCh. 21.1 - Prob. 20PCh. 21.1 - Prob. 21PCh. 21.3 - If a body contains no planes of symmetry, the...Ch. 21.3 - Prob. 23PCh. 21.3 - Prob. 24PCh. 21.3 - The large gear has a mass of 5 kg and a radius of...Ch. 21.3 - Prob. 26PCh. 21.3 - Prob. 27PCh. 21.3 - Prob. 28PCh. 21.3 - Prob. 29PCh. 21.3 - Prob. 30PCh. 21.3 - Prob. 31PCh. 21.3 - Prob. 32PCh. 21.3 - The 20-kg sphere rotates about the axle with a...Ch. 21.3 - The 200-kg satellite has its center of mass at...Ch. 21.3 - Prob. 35PCh. 21.3 - Prob. 36PCh. 21.3 - Prob. 37PCh. 21.3 - Prob. 38PCh. 21.3 - Prob. 39PCh. 21.3 - Prob. 40PCh. 21.4 - Derive the scalar form of the rotational equation...Ch. 21.4 - Prob. 42PCh. 21.4 - Prob. 43PCh. 21.4 - Prob. 44PCh. 21.4 - The disk has a weight of 15 lb. Neglect the weight...Ch. 21.4 - Prob. 46PCh. 21.4 - Prob. 47PCh. 21.4 - Prob. 48PCh. 21.4 - Prob. 49PCh. 21.4 - Prob. 50PCh. 21.4 - Prob. 51PCh. 21.4 - The 5-kg circular disk is mounted off center on a...Ch. 21.4 - Prob. 53PCh. 21.4 - Prob. 54PCh. 21.4 - Prob. 55PCh. 21.4 - The 4-kg slender rod AB is pinned at A and held at...Ch. 21.4 - Prob. 57PCh. 21.4 - Prob. 58PCh. 21.4 - Prob. 59PCh. 21.4 - Show that the angular velocity of a body, in terms...Ch. 21.4 - Prob. 61PCh. 21.6 - The gyroscope consists of a uniform 450-g disk D...Ch. 21.6 - Prob. 63PCh. 21.6 - Prob. 64PCh. 21.6 - Prob. 65PCh. 21.6 - When viewed from the front of the airplane, the...Ch. 21.6 - Prob. 67PCh. 21.6 - Prob. 68PCh. 21.6 - Prob. 69PCh. 21.6 - Prob. 70PCh. 21.6 - Prob. 71PCh. 21.6 - Prob. 72PCh. 21.6 - Prob. 73PCh. 21.6 - Prob. 74PCh. 21.6 - Prob. 75PCh. 21.6 - Prob. 76PCh. 21.6 - Prob. 77PCh. 21.6 - Prob. 78P
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- Part A The smooth surface of the vertical cam is defined in part by the curve r = (0.2 cos 0+0.3) m. The forked rod is rotating with an angular acceleration of 0 = 2 rad/s as shown in (Figure 1), and when 0 = 45°, the angular velocity is 6 = 6 rad/s. Determine the force the cam and the rod exert on the 1.8-kg roller at this instant. The attached spring has a stiffnesss k = 100 N/m and an unstretched length of 0.1 m. Express your answers in newtons using three significant figures separated by a comma. ? Neam, Frud = N Submit Request Answer Figure 1 of 1 Provide Feedback Next >arrow_forwardQ15. A sphere as shown in Figure Q15 with a mass of 3 kg slides along the bent rod. When x - 2 m the velocity of the sphere is 5 m/s and the tangential acceleration is 3 m/s³. At the position shown, determine the tangent ial and normal components of the force that the rod applies on the sphere. 4 m = 3 kg y = 8 - 0.5x X = 2m Figure Q15arrow_forwardThe truck, initially at rest with a roll of paper in the position shown, moves forward with a constant acceleration a = 3.8 m/s2. Find the distance s which the truck goes before the paper rolls off the edge of its horizontal bed. The distance d = 3.3 m, the radius of the roll is r = 960 mm, and the centroidal radius of gyration is k = 530 mm. Friction is sufficient to prevent slipping.arrow_forward
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