PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 21, Problem 33P
To determine
The value of
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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
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
r
0
F
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
Chapter 21 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
Ch. 21 - Show that the sum of the moments of inertia of a...Ch. 21 - Prob. 2PCh. 21 - Prob. 3PCh. 21 - Determine the moments of inertia Ix and Iy of the...Ch. 21 - Prob. 5PCh. 21 - Determine by direct integration the product of...Ch. 21 - Prob. 9PCh. 21 - Prob. 10PCh. 21 - Determine the moment of inertia Ixx of the...Ch. 21 - Prob. 13P
Ch. 21 - Prob. 14PCh. 21 - Prob. 15PCh. 21 - The bent rod has a weight of 1.5 lb/ft. Locate the...Ch. 21 - If a body contains no planes of symmetry, the...Ch. 21 - Prob. 23PCh. 21 - Prob. 25PCh. 21 - Prob. 28PCh. 21 - Prob. 29PCh. 21 - Prob. 30PCh. 21 - The 2-kg thin disk is connected to the slender rod...Ch. 21 - Prob. 33PCh. 21 - Prob. 36PCh. 21 - Prob. 37PCh. 21 - Prob. 40PCh. 21 - Prob. 41PCh. 21 - Prob. 42PCh. 21 - Prob. 48PCh. 21 - Prob. 51PCh. 21 - Prob. 54PCh. 21 - Show that the angular velocity of a body, in terms...Ch. 21 - A thin rod is initially coincident with the Z axis...Ch. 21 - The top consists of a thin disk that has a weight...Ch. 21 - Prob. 66PCh. 21 - Prob. 69PCh. 21 - Prob. 70PCh. 21 - Prob. 73PCh. 21 - Prob. 74PCh. 21 - Prob. 77P
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- The 13.5-lblb disk rests on the 5-lblb plate. A cord is wrapped around the periphery of the disk and attached to the wall at BB. A torque MM = 40 lb⋅ftlb⋅ft is applied to the disk. Assume the disk does not slip on the plate and the plate rests on the surface at DD having a coefficient of kinetic friction of μkμk = 0.2. Neglect the mass of the Determine the angular acceleration of the disk measured counterclockwise . Determine the time needed for the end CC of the plate to travel 3 ftft and strike the wall.arrow_forwardThe cylinder is at rest supported by the spring of stiffness 205 N/m when a torque of 78 Nm is applied as shown. The mass of the cylinder is 2.5 kg and its radius is 205 mm. If the wheel rolls without slipping, find the velocity of the centre of the wheel when it has moved a distance 352 mm up the slope with the angle ẞ= 25°.arrow_forwardThe 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_forward
- 1. 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 wheel is made from a 5-kg thin ring and two 2-kg slender rods. If the torsional spring attached to the wheel's center has a stiffness k = 2 N •m/rad, so that the torque on the center of the wheel is M = (20) N • m, where 'e is in radians, determine the maximum angular velocity of the wheel if it is rotated two revolutions and then released from rest. HINT: USE T, + XU1-2 = T; 0,5 m w for the wheel is 3.2 rad/sec 14.1 rad/sec 18.1 rad/sec 6.04 rad/sec 1.58 rad/sec 34arrow_forwardEach of the two links has a mass of 1.5 kg and a centroidal radius of gyration of 55 mm. The slider at B has a mass of 3.4 kg and moves freely in the vertical guide. The spring has a stiffness of 5.9 kN/m. If a constant torque M = 14.0 N-m is applied to link OA through its shaft at O starting from the rest position at = 45°, determine the angular velocity of OA when 0 = 0. 40 mm 330 mm O Answer: w= i 165 mm 165 mm rad/sarrow_forward
- Gear B is rigidly attached to drum A and is supported by two small rollers at E and D. Gear B is in mesh with gear C which is subjected to a torque of M= 60 N.m. Determine the angular velocity of the drum A after C has rotated 5 revolutions, starting from rest. Gear B and the drum have a mass of 100 kg and a radius of gyration about their rotating axis of 250 mm. Gear C has a mass of 30 kg and the radius of gyration about its rotating axis of 125 mm. 300 mm 200 mm E ΕΟ 150 mm M Barrow_forwardThe pendulum consists of a 10-kg uniform slender rod and a 15-kg sphere (IG-2/5 mr²). If the pendulum is subjected to a torque of M=50 N-m and has an angular velocity of 3 rad/sec when 6-45°, determine the. a. Draw the FBD and MAD for the body. b. The magnitude of the angular acceleration. c. The magnitude of the reactive force pin O exerts on the pendulum at this instant 600 mm M-50 N-m 100 mm Barrow_forwardAt the instant shown, the 200-lb bar rotates clockwise at 4 rad/s. The spring attached to its endalways remains vertical due to the roller guide at C. If the spring has an unstretched length of 2ft and a stiffness of k = 9 lb/ft, determine the angular velocity of the bar the instant it has rotated 39° clockwise.arrow_forward
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