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.

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.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Clutches, Brakes, Couplings, and Flywheels

The clutch is described as a machine element used to connect or disconnect two shafts together to transmit torque or power. The clutch works on the principles of friction. The clutch is commonly used in automobiles to transfer power from the driving shaft to the driven shaft.

Question

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.
01 m
0.25 m

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