Suppose that, in procedure 1, you measured the moment of inertia of the system a

Question

Suppose that, in procedure 1, you measured the moment of inertia of the system asI=7.63kg-m2. Assume the diameter of the pulley around which you wrap the string isd= 2 cm.

a) In trial 1:the system is initially spinning at angular speed?o=6.98rad/s. After you drop a disk of mass561g on it, the system rotates at?f=5.95rad/s. Find:
- the moment of inertia of the disk:kg-m2
- the radius of the disk:m

b) In trial 3: suppose the system is initially spinning at angular speed?o=5.29rad/s. After you drop a cube of mass967g on it, the system rotates at?f=4.94rad/s. Find:
- the moment of inertia of the cube:kg-m2
- the length of one side of the cube:cm

Explanation / Answer

a.conserving ang. momentum 7.63*6.98=(7.63*5.95)+I*5.95 I=1.31 .5mr^2=1.31 r=2.16 b. 7.63*5.29=(7.63+I)*4.94 I=.54 ml^2/6=.54 l=1.83

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