A frictionless, massless pulley is attached to the ceiling, in a gravity field o

Question

A frictionless, massless pulley is attached to the ceiling, in a gravity field of 9.81m/s2. Mass M2 is greater than mass m1. The quantities Tn and g are magnitudes. (For each statement select T-True, F-False, G-Greater than, L-Less than, or E-Equal to. )

http://capa-new.colorado.edu/msuphysicslib/Graphics/Gtype09/prob89_Atwood1.gif

A) T3 is .... T1+T2
B) T1 is .... T2
C) The magnitude of the acceleration of M2 is ... the magnitude of the acceleration of m1.
D) T1 is ... m1g
E) The center-of-mass accelerates.
F) m1g + M2g is .... T3

Explanation / Answer

a. T3 is equal to T1+T2, T3=m1g+m2g and both T1 and T2=(m1g+m2g)/2 b. equal, tension is uniform through out the string c. equal, the acceleration is equal but in opposite directions, but magnitude does not include direction d. greater, T1=(m1g+m2g)/2 and m2 is larger than m1 e. True, because m2 is larger it will pull the center of mass of the system downwards f. equal, T3=T1+T2 and T1=T2 so T3=2T1 and T1=(m1g+m2g)/2 T3=2((m1g+m2g)/2) T3=m1g+m2g

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