Q6. The unbalanced wheel, as shown in Figure Q6 below, has a mass of 30 kg acting through its mass centre G and a radius of gyration kg = 0.15 m. It rolls without slipping on the horizontal surface, When the mass centre G passes the horizontal line through O as shown, the angular velocity of the wheel is 2 rads¹¹. For this instant, (a) (b) (c) (d) identify the type of motion of the wheel, draw the free body, kinematic and kinetic diagrams of the wheel clearly showing all the operating forces and moments, develop all the relevant kinetic and kinematics relationships to a global axes system of your choice, and determine the angular acceleration a of the wheel, the normal force N and friction force F acting on the wheel at its point of contact with the horizontal surface. 01m 0.25 m

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Q6. The unbalanced wheel, as shown in Figure Q6 below, has a mass of
30 kg acting through its mass centre G and a radius of gyration
kg = 0.15 m. It rolls without slipping on the horizontal surface, When
the mass centre G passes the horizontal line through O as shown, the
angular velocity of the wheel is 2 rads¹.
For this instant,
(a)
(b)
(c)
(d)
identify the type of motion of the wheel,
draw the free body, kinematic and kinetic diagrams of the wheel
clearly showing all the operating forces and moments,
develop all the relevant kinetic and kinematics relationships to
a global axes system of your choice, and
determine the angular acceleration a of the wheel, the normal
force N and friction force F acting on the wheel at its point of
contact with the horizontal surface.
01m
0.25 m
Transcribed Image Text:Q6. The unbalanced wheel, as shown in Figure Q6 below, has a mass of 30 kg acting through its mass centre G and a radius of gyration kg = 0.15 m. It rolls without slipping on the horizontal surface, When the mass centre G passes the horizontal line through O as shown, the angular velocity of the wheel is 2 rads¹. For this instant, (a) (b) (c) (d) identify the type of motion of the wheel, draw the free body, kinematic and kinetic diagrams of the wheel clearly showing all the operating forces and moments, develop all the relevant kinetic and kinematics relationships to a global axes system of your choice, and determine the angular acceleration a of the wheel, the normal force N and friction force F acting on the wheel at its point of contact with the horizontal surface. 01m 0.25 m
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