A 0.9 kg ball and a 1.7 kg ball are connected by a 1.0 m longrigid, massless rod. The rod is rotating cw about its center ofmass at 26 rpm. What torque will bring the balls to a halt in 4.2s?
N m

Where is the system's center of mass (measured from the firstball's position)?
m

What is the moment of inertia of the system around its center ofmass?
kg m2

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A 1.5 kg ball and a 2.0 kg ball are connected by a 1.0 m longrigid,massless rod. The rod is rotating cw about its center of massat22 rpm. What torque will bring theballs to a halt in 4.8 s?(in Nm )
1

Where is the system's center of mass (measured from the firstball'sposition)? (in m)

What is the moment of inertia of the system around its centerofmass? (in kg m²⁾
3

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1.0 kg ball and a 2.0 kg ball are connected by a 1.0-m-long rigid,massless rod. The rod is rotating cw about its center of mass at 20rpm.

What torque will bring the balls to a halt in 5.0 s?

a) At the bottom is a 3 step pulley; consisting ofthree wheelsof different diameters.b) The rotating arm has two massesattached,and is screwed into the 3 step pulley. Whenthe pulleyrotates, so does the rod.c) The string is wrapped around one ofthewheels in the 3 step pulley and passes overthe smart pulley. Themass hanger is hooked into the loop at the end of the string.d)When the system is released, the mass hanger falls, turning thesmart pulley, and the 3 step pulley withthe rod attached. e)Assume: that the smart pulley is very light, so its moment ofinertia is negligible as compared to the moment of inertia of the 3step pulley and rod.

Suppose that you measured the moment of inertia of the system as I= 5.05 kg-m2. Assume the diameter of the pulley around which youwrap the string is d = 2.5 cm.

a) Suppose the system is initially spinning at angular speed Ïo =9.27 rad/s. After you drop a disk of mass 856 g on it, the systemrotates at Ïf = 8.35 rad/s. Find:
- the moment of inertia of the disk: kg-m2
- the radius of the disk: cm

b) suppose the system is initially spinning at angular speed Ïo =2.05 rad/s. After you drop a cube of mass 786 g on it, the systemrotates at Ïf = 1.79 rad/s. Find:
- the moment of inertia of the cube: kg-m2
- the length of one side of the cube: cm

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