Two spheres of mass m and 2m are connected by a massless rod. This system is released from rest near Earth's surface at t=0. Which of the following statements best explains why the system does not rotate around its center of mass as it falls? 2m (A) The Earth exerts the same gravitational force on both spheres, causing them to accelerate at the same rate. (B) The Earth exerts the same gravitational force on both spheres, generating torques that cancel out. The Earth exerts a larger gravitational force on the sphere of mass 2m. but that sphere is closer to the center of mass and the torues cancel out. (D) The Earth exerts a larger gravitational force on the sphere of mass 2m, but that sphere has more inertia and the toranes cancel out Fit, Far2 mg furtar

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Two spheres of mass m and 2m are connected by a massless rod. This
system is released from rest near Earth's surface at t=0. Which of the
following statements best explains why the system does not rotate
around its center of mass as it falls?
I.
2m
(A) The Earth exerts the same gravitational force
on both spheres, causing them to accelerate
at the same rate.
(B) The Earth exerts the same gravitational force
on both spheres, generating torques that
cancel out.
The Earth exerts a larger gravitational force
on the sphere of mass 2m. but that sphere is
closer to the center of mass and the torues
cancel out.
(D) The Earth exerts a larger gravitational force
on the sphere of mass 2m, but that sphere
has more inertia and the toraues cancel out
しい
furter
mg
Transcribed Image Text:Two spheres of mass m and 2m are connected by a massless rod. This system is released from rest near Earth's surface at t=0. Which of the following statements best explains why the system does not rotate around its center of mass as it falls? I. 2m (A) The Earth exerts the same gravitational force on both spheres, causing them to accelerate at the same rate. (B) The Earth exerts the same gravitational force on both spheres, generating torques that cancel out. The Earth exerts a larger gravitational force on the sphere of mass 2m. but that sphere is closer to the center of mass and the torues cancel out. (D) The Earth exerts a larger gravitational force on the sphere of mass 2m, but that sphere has more inertia and the toraues cancel out しい furter mg
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