EP ENGR.MECH.:DYNAMICS-REV.MOD.MAS.ACC.
14th Edition
ISBN: 9780133976588
Author: HIBBELER
Publisher: PEARSON CO
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Chapter 21.3, Problem 32P
To determine
The spin of the disk about the rod when the disk reaches its lowest position.
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The 214-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 =
94 N•m, it starts rolling from rest. Determine the average friction force that the
ground applies to the wheel if it 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, and proper Sl unit. Take g = 9.81 m/s².
M
Your Answer:
Answer
units
The 186-kg wheel has a radius of gyration about its center O of ko = 300 mm, and
radius r = 0.4 m. When the wheel is subjected to the constant couple moment M =
92 N.m, it starts rolling from rest. Determine the average friction force that the
ground applies to the wheel if it 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, and proper Sl unit. Take g = 9.81 m/s².
M
Your Answer:
units
Answer
The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the
wheel is 0.6m. The radius of gyration KG=0.4 m. The spring's unstretched length is Lo=1.0 m.
The stiffness coefficient of the spring is k=2.0 N/m. The wheel is released from rest at the
state 1 when the angle between the spring and the vertical direction is 8-30°. The wheel rolls
without slipping and passes the position at the state 2 when the angle is 8=0°. The spring's
length at the state 2 is L2=4 m.
(11) The angular velocity at the state 2?_
_(rad/s) (two decimal places)
111441
L₂
State 2
State 1
Chapter 21 Solutions
EP ENGR.MECH.:DYNAMICS-REV.MOD.MAS.ACC.
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 wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is 0.6m. The radius of gyration KG=0.4 m. The spring's unstretched length is Lo=1.0 m. The stiffness coefficient of the spring is k=2.0 N/m. The wheel is released from rest at the state 1 when the angle between the spring and the vertical direction is 8-30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is 0-0°. The spring's length at the state 2 is L2=4 m. (12) The kinetic energy at the state 2? (N-m) (two decimal places) LLLLKAL 2₂ तो State 2 Li State 1arrow_forwardThe wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is 0.6m. The radius of gyration KG=0.4 m. The spring's unstretched length is Lo=1.0 m. The stiffness coefficient of the spring is k=2.0 N/m. The wheel is released from rest at the state 1 when the angle between the spring and the vertical direction is 0-30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is 8=0°. The spring's length at the state 2 is L2=4 m. (kg-m²) (two (8) The mass moment of inertial about the mass center G is IG= decimal places) HILAI L₂ State 2 State 1arrow_forwardThe wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is 0.6m. The radius of gyration KG=0.4 m. The spring's unstretched length is Lo=1.0 m. The stiffness coefficient of the spring is k=2.0 N/m. The wheel is released from rest at the state 1 when the angle between the spring and the vertical direction is 8-30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is 8-0°. The spring's length at the state 2 is L2=4 m. (10) The kinetic energy at the state1?__ (N-m) (two decimal places) LLLLLLL L₂ State 2 C State 1arrow_forward
- The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is 0.6m. The radius of gyration KG=0.4 m. The spring's unstretched length is Lo=1.0 m. The stiffness coefficient of the spring is k=2.0 N/m. The wheel is released from rest at the state 1 when the angle between the spring and the vertical direction is 8-30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is 8-0°. The spring's length at the state 2 is L2=4 m. (2) If the mass center G is set as the origin (datum), the gravitational potential energy at the state 2 is (two decimal places) HILAI ܪܐ 717 State 2 State 1arrow_forwardThe wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is 0.6m. The radius of gyration KG=0.4 m. The spring's unstretched length is Lo=1.0 m. The stiffness coefficient of the spring is k=2.0 N/m. The wheel is released from rest at the state 1 when the angle between the spring and the vertical direction is 8-30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is 8-0°. The spring's length at the state 2 is L2=4 m. (5) The stretched spring length of the spring at the state 2 is_ places) HULK ܪܐ TG नेता State 2 State 1 _(m) (two decimalarrow_forwardThe rod AB is non-uniform with a radius of gyration of 4.00 ft with respect to a horizontal axis through the center of mass G. It weighs 161 lb. At the moment shown the rod has a counterclockwise angular velocity of 3.00 rad/sec, and the spring is compressed by 2.00 ft. Calculate the force constant of the spring that will reduce the angular velocity of the rod to 1.50 rad/sec when it reaches the horizontal position. Assume the blocks A and B are weightless.arrow_forward
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