Two masses\[{{\text{m}}_{1}}\]and\[{{\text{m}}_{\text{2}}}\]are attached to the ends of a massless string which passes over a frictionless pulley attached to the top of an inclined plane. The angle of inclination of the plane is \[\theta \]. Take \[g=10m{{s}^{-2}}\] If \[{{m}_{1}}=10\,kg,\,\,{{m}_{2}}=5\,kg,\] \[\theta ={{30}^{o}},\] what is the acceleration of mass \[{{m}_{2}}\]?

Two masses\[{{\text{m}}_{1}}\]and\[{{\text{m}}_{\text{2}}}\]are attach

1.	Two masses\[{{\text{m}}_{1}}\]and\[{{\text{m}}_{\text{2}}}\]are attached to the ends of a massless string which passes over a frictionless pulley attached to the top of an inclined plane. The angle of inclination of the plane is \[\theta \]. Take \[g=10m{{s}^{-2}}\] If \[{{m}_{1}}=10\,kg,\,\,{{m}_{2}}=5\,kg,\] \[\theta ={{30}^{o}},\] what is the acceleration of mass \[{{m}_{2}}\]?
A.	zero
B.	\[(2/3)\text{ }m{{s}^{-2}}\]
C.	\[5\text{ }m{{s}^{-2}}\]
D.	\[10/3\text{ }m{{s}^{-2}}\]
Answer» B. \[(2/3)\text{ }m{{s}^{-2}}\]