The spring shown in Figure Q7 below has an un-stretched length of 0.8 m and a stiffness of 60 Nm ¹. The 20 kg solid disc (which is free to rotate about its centre C) has a radius of gyration kg = 0.2 m. It is released from rest in the upper position. When the disc passes through the lowest (dashed) position, calculate (a) the total work done on the system, (b) (c) the total change in kinetic energy of the system in terms of the angular velocity of the disc, and applying the principles of conservation of work and energy evaluate the magnitude of the angular velocity oy of the disc. -2m- 0.3 m C↓ wwwwwwwwwwwwwwww no slip Figure Q7 0.8 m

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Q7. The spring shown in Figure Q7 below has an un-stretched length of
0.8 m and a stiffness of 60 Nm ¹. The 20 kg solid disc (which is free to
rotate about its centre C) has a radius of gyration kg = 0.2 m. It is
released from rest in the upper position.
When the disc passes through the lowest (dashed) position, calculate
(a)
the total work done on the system,
(b)
(c)
the total change in kinetic energy of the system in terms of the
angular velocity of the disc, and
applying the principles of conservation of work and energy
evaluate the magnitude of the angular velocity of of the disc.
0.3 m
2 m
wwww
no slip
Figure Q7
0.8 m
Transcribed Image Text:Q7. The spring shown in Figure Q7 below has an un-stretched length of 0.8 m and a stiffness of 60 Nm ¹. The 20 kg solid disc (which is free to rotate about its centre C) has a radius of gyration kg = 0.2 m. It is released from rest in the upper position. When the disc passes through the lowest (dashed) position, calculate (a) the total work done on the system, (b) (c) the total change in kinetic energy of the system in terms of the angular velocity of the disc, and applying the principles of conservation of work and energy evaluate the magnitude of the angular velocity of of the disc. 0.3 m 2 m wwww no slip Figure Q7 0.8 m
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