Three balls A, B, and C, with masses of 2.7 kg, 0.9 kg, and 1.1 kg, respectively, are connected by massless rods, as shown in the figure below. A force Fvec = 11.9 N ihat is applied to the 2.7-kg ball. (No forces act on the other two balls.) What is the acceleration of the center of mass of the three-ball system?

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A) A 1.0 kg ball is located at the origin and a 2.0 kg ball is at1.0 m away in the x-direction. Where is the center of mass of thesetwo balls.
(Answer in ihat + jhat+ khat form)

B) A 3.0 kg ball is located at (x,y,z)=(0,1.0,0)m and a 4.0 kg ballis located at (1.0,1.0,0) m. Where is the center of mass of thesetwo balls?
(Answer in ihat + jhat+ khat form)

C) Where is the center of mass of all four balls? Determine thistwo ways: (1) find the center of mass of all four balls treatedindividually and then (2) find the center of mass acting as if thesystem was made up of two bodies located at the two centers ofmasses you found above (e.g. a total mass of 1 kg + 2 kg at thelocation of the first center of mass you found above). The tworesults should agree.
(Answer in ihat + jhat+ khat form)

D) Now, let's say that three identical, uniform rods, each 1.00 mlong, are welded perpendicular to one another at a common end so asto represent the positive x-, y-, and z-axes of a Cartesiancoordinate system. Where is the CM of this object?
(Answer in jhat+ khat form)

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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