International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN: 9781305501607
Author: Andrew Pytel And Jaan Kiusalaas
Publisher: CENGAGE L
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Chapter 7, Problem 7.57P
The square-threaded screw with a pitch of 10 mm and a mean radius of 18 mm drives a gear that has a mean radius of 75 mm. The static and kinetic coefficients of friction between the gear and the screw are 0.12 and 0.06, respectively. The input torque applied to the screw is
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Two machines are coupled by means of a clutch plate with 2 contact surfaces. The plate has an inner diameter of 125 mm and an outer diameter of 200 mm and the coefficient of friction between mating surfaces is 0.35. It is assumed that shafts of both machines are co-axial and the driving shaft is rotating at a constant speed of 240 rev/min when it is suddenly brought in contact with the driven shaft/machine initially rotating at 20 rev/min. The Moment of Inertia of the driven machine is 21 kgm2.
A slippage period of 6.8 sec is observed while the driven machine is brought to the full speed of the driving shaft. Analyse the frictional power transmission and calculate:
The magnitude of the torque necessary to cause the described acceleration of the driven shaft :
Two machines are coupled by means of a
clutch plate with 2 contact surfaces. The
plate has an inner diameter of 125 mm
and an outer diameter of 240 mm and
the coefficient of friction between mating
surfaces is 0.3. It is assumed that shafts
of both machines are co-axial and the
driving shaft is rotating at a constant
speed of 360 rev/min when it is
suddenly brought in contact with the driven
shaft/machine initially rotating at
35 rev/min. The Moment of Inertia of
the driven machine is 21 kgm2.
A slippage period of 6.4 sec is observed
while the driven machine is brought to the
full speed of the driving shaft. Analyse the
frictional power transmission and
calculate:
The magnitude of the torque necessary to
cause the described acceleration of the
driven shaft : Tdr
Nm
The driven machine will accelerate at a rate
of
One possible correct answer is:
5.3178000646702
rad/s/s,while the motor/driving shaft will
have an acceleration of
One possible correct answer is: 0 rad/s?
The normal force…
The rack has a mass m =
75 kg. What moment M must be exerted by
the
gear
wheel in order to (a) lower and (b) raise
the rack at a slow steady speed on the greased
60° rail? The coefficients of static and kinetic
friction are µs
0.1 and µk
0.05. The fixed
motor which drives the gear wheel is not
shown.
M
75 mm
Pitch diameter
т
60°
Figure 4.
Chapter 7 Solutions
International Edition---engineering Mechanics: Statics, 4th Edition
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