PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 21, Problem 51P
To determine
The components of reaction at the bearings and the angular acceleration of the door.
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A large symmetrical drum for drying sand is operated by the geared motor drive shown. If the mass of the sand is 740 kg and an
average gear-tooth force of 2.60 kN is supplied by the motor pinion A to the drum gear normal to the contacting surfaces at B,
calculate the average offset X of the center of mass G of the sand from the vertical centerline. Neglect all friction in the supporting
rollers.
Assumer = 110 mm, R= 695 mm, 0 = 24°
Detail of contact
at B
Answer: X
mm
The frame is made from uniform rod which has a mass p per unit length. A smooth recessed slot constrains the small rollers at A and B
to travel horizontally. Force P is applied to the frame through a cable attached to an adjustable collar C. Determine the magnitudes and
directions of the normal forces which act on the rollers if (a) h = 0.25L, (b) h = 0.50L, and (c) h = 0.81L. The forces will be positive if up,
negative if down. Evaluate your results for p = 2.5 kg/m, L = 510 mm, and P = 43 N. What is the acceleration of the frame in each case?
Answers:
(a)
(b)
L
(c)
h=
0.25L:
h =
0.50L:
h =
0.81L:
L
A
A
A
=
B
i
i
i
h
P
N.
N.
N₁
B
i
i
i
N.
N.
N.
i
i
i
m/s
m/s
m/s
Problem 6 - Part B
250 N
The cart and its load have a total mass of
200 kg and center of mass at G. A force of
P = 250 N is applied to the handle. Neglect
the mass of the wheels. Determine the
normal reactions at each of the two wheels
at A and B. Also, find an acceleration of the cart.
1.2 m
OB
0.3 m
0.4 m
0.6 m
ΘΑ
0.5 m
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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