Question

Exercise 9.45 - Enhanced - with Solution 19 of 24 > Constants Part A A thin, light wire is wrapped around the rim of a wheel, as shown in the following figure. The wheel rotates without friction about a stationary horizontal axis that passes through the center of the wheel. The wheel is a uniform disk with radius 0.252 m. An object of mass 4.00 kg is suspended from the free end of the wire. The system is released from rest and the suspended object descends with constant acceleration. (Figure 1) If the suspended object moves downward a distance of 2.60 m in 1.87 s, what is the mass of the wheel? Express your answer with the appropriate units. You may want to review (Pages 283 - 288). For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of An unwinding cable ii. PÅ MOO? M = 50 kg Figure < 1 of 1 Submit Previous Answers Request Answer X Incorrect; Try Again; 3 attempts remaining Provide Feedback Next >

Answer 1

7 raars 01252P Acceleration as of inspended object is ginen as, d = hath > a= 2d = 2x2 6 m/s ia=1'49 wys? — (1987) Angeln acceleration &=a where s'is ronding of wheel.. x= 149 rad/s = 5:91 rad/52 For the suspended mass in', ng-T=ma > Tension T= m (g-a) = 4(9:8-149) T = 3.324 Nr. Torque on . ? = TR = 33.2400:25 = 8.37 Nm. Now, r = I when xa = MR a. . M = 248137 kg = 15 115 1kg m wheel Nin - V7 heel 1 (0.252)2x51g, I-PI's ikg]