Engineering Mechanics: Dynamics (14th Edition)
14th Edition
ISBN: 9780133915389
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 21.3, Problem 30P
To determine
The height the center of the rod rises at the instant the rod momentarily stops swinging.
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The telephone-cable reel rolls without slipping on the horizontal surface. If point A on the cable has a velocity VA = 0.70 m/s to the right,
compute the velocity of the center O (positive if to the right, negative if to the left) and the angular velocity w (positive if
counterclockwise, negative if clockwise) of the reel.
1.72 m
A
Answers:
Vo =
W=
0.60 m
1.075
i 1.25
m/s
rad/s
3. The wheel has a mass of 100 kg and a radius of gyration
about the z-axis of k: = 300 mm rests on a smooth
horizontal plane. If the belt is subjected to a force of P=
170 N, determine the angular velocity of the wheel and
the speed of its center of mass two seconds after the
400 mm
force is applied.
The 213-kg wheel has a radius of gyration about its center O of ko = 240 mm, and
radius r = 0.4 m. When the wheel is subjected to the constant couple moment M =
85 N·m, it starts rolling from rest. Determine the wheel's angular velocity W (in rad/s)
after 4.4 seconds if the wheel has been rolling without slipping. Please pay attention:
the numbers may change since they are randomized. Your answer must include 2
places after the decimal point. Take g = 9.81 m/s².
M
Your Answer:
Answer
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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- At the instant θ = 60°, the slotted guide rod is moving to the left with anacceleration of 2.00 m/s^2 and a velocity of 5.00 m/s. Determine the angularacceleration and angular velocity of link AB at this instant.arrow_forwardThe disk has an angular velocity of 8 rad/s and is increasing at the rate of 5 rad/s' about its Z- axis and the yoke AB has a constant angular velocity w = 3 rad/s about its shaft as shown. Simultaneously the entire assembly revolves about the fixed X-axis with constant velocity o, = 5 rad/s. Determine the velocity and acceleration of point F on the disc for an instant shown in the figure. Also find angular velocity and angular acceleration of the disc. 20 cm 15. 30 cm 30 cm 30 cm N 20 cmarrow_forwardThe double pulley consists of two parts that are attached to one another. It has a weight of 52 lb and a radius W= 20 rad/s of gyration about its center of k = 0,9 ft. If it rotates with O an angular velocity of 20 rad>s clockwise, determine the kinetic energy of the system. Assume that neither cable slips on the pulley. @= 20 rad/s 0.5ft 1 ft B 30 lb A 20 lbarrow_forward
- The clockwise angular velocity of the AB rod of the knuckle is 0 = 50° while 20 rad/s. Thisdetermine the angular velocities (magnitude and direction) of the BC element and wheel at the moment.arrow_forwardTwo flywheels are pinned to opposite ends of a metal bar. The smaller flywheel has a mass of 40 kg and a radius of 0.25 m. The larger flywheel has a mass of 275 kg and a radius of 1.75 m. The bar has a mass of 2 kg and a length of 3 m. A wooden plate acts as a ripcord by temporarily pressing it against the flywheels and rapidly translating it to the left at v = angular velocity of 25 rad/s and the large flywheel has an angular velocity of 3.5714285714286 rad/s. The flywheel-bar assembly is then set on frictionless ice such that the axes of rotation are perpendicular to the ice surface. 6.25 m/s. The plate is removed when the small flywheel has an The flywheel pins have Hk = 0.05, which eventually causes the flywheels to stop spinning relative to the metal bar. Angular momentum is conserved, so the whole assembly continues spinning as a rigid body about the center of mass. What is the final angular velocity of the assembly? rad/s. The flywheels and bar rotate about their combined center…arrow_forwardDetermine the angular velocity (positive if counterclockwise, negative if clockwise) of link BC for the instant indicated. In case (a), the center O of the disk is a fixed pivot, while in case (b), the disk rolls without slipping on the horizontal surface. In both cases, the disk has clockwise angular velocity w = 1.9 rad/s. Neglect the small distance of pin A from the edge of the disk. The radius r = 690 mm. C r A 2r A 2r (a) (b) B r Barrow_forward
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