The collar of mass m = 77 kg in Figure Q14 slides outwards with an initial radial velocity vo = 0.58 m-s-1 from zero initial radial position (see dashed box) along a smooth rotating shaft (see unit vector ur). The shaft rotates with constant angular speed of w = 2 rad-s-1. Determine the magnitude of the constant force F (N) that needs to be applied in the radial direction (pointing towards the centre of the shaft) in order to decelerate the collar to zero radial velocity the moment when the collar reaches a radial position r = 0.19 m. Consider motion in a horizontal plane, such that gravity can be ignored. Provide only the numerical value (in Newtons) to zero decimal places and do not include the units in the answer box. Ur m Vo Figure Q14: Rotating collar-shaft system

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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QUESTION 14
The collar of mass m = 77 kg in Figure Q14 slides outwards with an initial radial velocity vo = 0.58 m-s-1
from zero initial radial position (see dashed box) along a smooth rotating shaft (see unit vector ur). The
shaft rotates with constant angular speed of w = 2 rad-s-1. Determine the magnitude of the constant
force F (N) that needs to be applied in the radial direction (pointing towards the centre of the shaft) in
order to decelerate the collar to zero radial velocity the moment when the collar reaches a radial position
r = 0.19 m. Consider motion in a horizontal plane, such that gravity can be ignored. Provide only the
numerical value (in Newtons) to zero decimal places and do not include the units in the answer box.
Ur
F
m
Vo
Figure Q14: Rotating collar-shaft system
Transcribed Image Text:QUESTION 14 The collar of mass m = 77 kg in Figure Q14 slides outwards with an initial radial velocity vo = 0.58 m-s-1 from zero initial radial position (see dashed box) along a smooth rotating shaft (see unit vector ur). The shaft rotates with constant angular speed of w = 2 rad-s-1. Determine the magnitude of the constant force F (N) that needs to be applied in the radial direction (pointing towards the centre of the shaft) in order to decelerate the collar to zero radial velocity the moment when the collar reaches a radial position r = 0.19 m. Consider motion in a horizontal plane, such that gravity can be ignored. Provide only the numerical value (in Newtons) to zero decimal places and do not include the units in the answer box. Ur F m Vo Figure Q14: Rotating collar-shaft system
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