Planar kinematics of a rigid body. Group Problem Solving -5A 45 3 ft/s The gear has a radius of 1.5 ft and its pulled at 3 ft/s by a cable wrapped in a pulley. The gear and pulley are fixed and centered at O. The gear meshes with a rack that moves at 4 ft/s. The geometry of the system is shown in the figure. At the time shown, determine: 0.75 ft 1.50 ft 4 ft/s By relative motion analysis. a) The angular velocity of the gear. b) The velocity of gear center (point O). c) The velocity of point A on the gear rim.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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11
Planar kinematics of
a rigid body.
Group Problem Solving -5A
45
3 ft/s
The gear has a radius of 1.5 ft and
its pulled at 3 ft/s by a cable
wrapped in a pulley. The gear and
pulley are fixed and centered at O.
The gear meshes with a rack that
moves at 4 ft/s. The geometry of
the system is shown in the figure.
At the time shown, determine:
0.75 ft
1.50 ft
4 ft/s
By relative motion analysis.
a) The angular velocity of the gear.
b) The velocity of gear center
(point O).
c) The velocity of point A on the
gear rim.
Transcribed Image Text:Planar kinematics of a rigid body. Group Problem Solving -5A 45 3 ft/s The gear has a radius of 1.5 ft and its pulled at 3 ft/s by a cable wrapped in a pulley. The gear and pulley are fixed and centered at O. The gear meshes with a rack that moves at 4 ft/s. The geometry of the system is shown in the figure. At the time shown, determine: 0.75 ft 1.50 ft 4 ft/s By relative motion analysis. a) The angular velocity of the gear. b) The velocity of gear center (point O). c) The velocity of point A on the gear rim.
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