s Management I Help Clas HW 23 Begin Date: 8/2/2017 12:00:00 AM Due Date: 11/30/

Question

s Management I Help Clas HW 23 Begin Date: 8/2/2017 12:00:00 AM Due Date: 11/30/2017 11:59:00 PM End Date: 12/3/2017 11:59:00 PM (17%) Problem 6: Imagine a yo-yo-like object in the form of a disk, of radius 0.041 m, mass 1.3 kg, and moment of inertia 0.0014 kg-m*, with a string, of negligible mass, wrapped around the disk's rim without slipping. You dangle the object from the end of the vertical string and pull the string up with a constant force, such that the object spins increasingly fast, yet its center remains at a fixed location. If the initial angular speed of the obiect is 14 rad/s. calculate its angular speed 0.13 second later, in radians per second. Take g= 9.81 m/s, Grade Summa Deductions Potential C) = 0% 10096 sin0 cotanO asin acos0 atan0 acotan sinhO coshO tanh cotanh0 cos) tan Submissions Attempts remaining: 4 (000 per attempt) detailed view END Degrees Radians NO CLEAR Submit Hint I give up! Hints: deduction per hint. Hints remaining: Feedback: 0% deduction per feedback. Submission History Answer Hints Feedbaclk Totals Totals 096 09% 096 | 096

Explanation / Answer

mass,m=1.3 kg

radius, r=0.041 m

moment of inertia, I=0.0014 kg.m^2

let,

tension in string is T,

here,

T=m*g-m*a

and

torque = I*alpa

T*r=I*alpa

==>

m*g-m*a=I*alpa

m*g-m*(r*alpa) =I*alpa

1.3*9.8-1.38(0.041*alpa)=0.0014*alpa

===> alpa=219.73 rad/sec

and

alpa=(w2-w1)/t

219.73=(w2-14)/(0.13)

==> w2=42.56 rad/sec

final angular speed, w2=42.56 rad/sec

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