dow Help ? 68% Wed 10:16 PM a Homework # 9 C?www.webassigru ignment-Responses/su

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dow Help ? 68% Wed 10:16 PM a Homework # 9 C?www.webassigru ignment-Responses/submit?dep- 18507783 10. SerCpg 8.P034. Ask Your Teac Question Details An oversized yo-yo is made from two identical solid disks each of mass M-1.80 kg and radius R-11.6 cm. The two disks are joined by a solld cylinder of radiusr 4.00 cm and mass m- 1.00 kg as in the figure below. Take the center of the cylinder as the axis of the system. (a) What is the moment of inertia of the system? Give a symbolic answer. (Use any variable or symbol stated above as necessary.) moment of inertia- (b) What torque does gravity exert on the system with respect to the given axis? Take dowrward as the negative coordinate direction. (e) As depicted in the figure above, is the torque exerted by the tension positive or negative? (View the yo-yo from the left and let the counterclockwise direction be positive.) positive negative (d) Is the angular acceleration positive or negative? positive negative (e) What about the translational acceleration? MacBook Air

Explanation / Answer

Given,

M = 1.8 kg ; R = 11.6 cm ; r = 4 cm ; m = 1 kg

a)the moment of inertia will be:

I = 1/2 m r^2 + M R^2

I = 0.5 x 1 x 0.04^2 + 1.8 x 0.116^2 = 0.025 kg-m^2

Hence, I = 0.025 kg-m^2

b)0 N-m

c)positive

d)positive

e)negative

h)alpha = -a/r

g)T = (2M + m) (a + g)

i)a = - (2M + m)g/[M(2 + R^2/r^2) + 1.5]

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