A) A bicycle wheel is mounted on a fixed, frictionless axle as shown. A massless

Question

A) A bicycle wheel is mounted on a fixed, frictionless axle as shown. A massless string is wound around the rim and a constant horizontal force of magnitude F19N starts pulling the string from the top of the wheel at time t = 0 The string does not slip on the wheel. The wheel has radius r = 0.300 m. m ass m = 1.40 kg, and moment of inertia! = onn where k = 0.700 Answer True, False or Cannot tell to the following statements, e g·if the first is true, and the second is false, and one cannot tell for the third, enter i. The work done on the wheel by the force is equal to the torque on the wheel. ii The magnitude of the torque applied to the wheel fort0 is Fr. iii. The magnitude of the angular acceleration of the wheel for t>O is gren by = B) Assume the wheel is at rest at -O. What is the work done by the force F if the string is pulled through a distance d-1.30 m, beginning at time0? C) Assuming the same conditions as in the previous problem, what is the magnitude of the angular velocity of the wheel after the string has been pulled through the distance a? D) What is the angular displacement of the wheel after the string is pulled through the distance d? E) How long does it take for the motion described in the previous three problems to occur?

Explanation / Answer

A)

i) False

ii)True

iii)false

B)work done=19 (1.30)=24.7 J

C)Wf = sqroot ( 2FL/ I) = sqroot ( 2x 19x 1.30 /0.0882 )=23.66 rad/sec

D)theta= d/r= 1.3/0.3=4.33 radians

E)angukar accleration= 23.66^2 / 2x4.33=64.64 rad/s^2

t= 23.66/64.64=0.366 seconds

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