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1. What is a given= 0.215 [ms^-2] and diameter of disk with uniform mass distribution= 19.5...

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1. What is a given= 0.215 [ms^-2] and diameter of disk withuniform mass distribution= 19.5 [cm].
theta= ?
2. Using information found in previous question, if the droppingmass is 195 [g], then what is T?
T= ? [Nm]

Answer & Explanation Solved by verified expert

4.0 Ratings (634 Votes)

(a)

Â Â Â Â Â Â The acceleration isÂ Â aÂ Â =Â Â 0.215 m /s²

Â Â Â Â Â Â Â The radius of the disk is,

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â r = diameter / 2

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 19.5 cm /2

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 0.0975 m

Hence, the angular acceleration is,

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â ?Â Â Â =Â Â a / r

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 0.215 m/s²/ 0.0975 m

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 2.205 rad/s²

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(b)

The required tension can be calculated as,

Â Â Â Â Â Â Â Â Â Â Â Â Â T = m a

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 0.195 kg * 2.205 rad/s²

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 0.4299 N.m

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 0.43 N.m

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