ENGR.MECH.: DYNAMICS-EBOOK>I<
14th Edition
ISBN: 9781292088785
Author: HIBBELER
Publisher: INTER PEAR
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Chapter 21.6, Problem 70P
To determine
The steady state angle
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The 27-kg wheel has a radius of gyration about its center O of ko = 260 mm, and
radius r = 0.5 m. When the wheel is subjected to the constant force F = 354 N,
applied to the wheel's center axle at an angle = 6°, it starts rolling from rest.
Determine the wheel's angular velocity W (in rad/s) after 3.2 seconds if the wheel
has been rolling without slipping. Please pay attention: the numbers may change
since they are randomized. Your answer must include 1 place after the decimal point.
Take g = 9.81 m/s².
F
0
Your Answer:
Answer
The 21-kg wheel has a radius of gyration about its center O of ko =260 mm, and
radius r = 0.5 m. When the wheel is subjected to the constant force F = 247 N,
applied to the wheel's center axle at an angle = 6°, it starts rolling from rest.
Determine the wheel's angular velocity W (in rad/s) after 4.0 seconds if the wheel
has been rolling without slipping. Please pay attention: the numbers may change
since they are randomized. Your answer must include 1 place after the decimal point.
Take g = 9.81 m/s².
Your Answer:
G
Answer
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F
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.
Chapter 21 Solutions
ENGR.MECH.: DYNAMICS-EBOOK>I<
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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- The 30-kg wheel has a radius of gyration about its center O of ko = 240 mm, and radius r = 0.5 m. When the wheel is subjected to the constant force F = 388 N, applied to the wheel's center axle at an angle = 6°, it starts rolling from rest. Determine the total angular impulse L (in N•m.s) about the wheel's IC after 3.7 seconds if the wheel has been rolling without slipping. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point. Take g = 9.81 m/s². Your Answer: G Answer Ө Farrow_forward1. The 20-kg flywheel has a radius of gyration kg = 0.5 m about the axis of its attached shaft (O-0). It is at rest when subjected to a torque that rises uniformly from 0 to 2 N-m over 3 revolutions, then holds at a constant 2 N-m for the remainder of the motion. What is the angular velocity of the flywheel after 10 revolutions? Give your answer in RPM.arrow_forwardThe 250-kg wheel has a radius of gyration about its center O of ko = 260 mm, and radius r = 0.4 m. When the wheel is subjected to the constant couple moment M = 64 N.m, it starts rolling from rest. Determine the total angular impulse L (in N.m.s) about the wheel's IC after 7.3 seconds if the wheel has been rolling without slipping. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point. Take g = 9.81 m/s². M Your Answer: Answerarrow_forward
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