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two masses m1 and m2 are lying on a horizontal plane without friction and are co

ID: 1456410 • Letter: T

Question

two masses m1 and m2 are lying on a horizontal plane without friction and are connected by a string. the third mass m3 is hanging vertically over a pulley, connected by a string to masses m1 and m2. what are the tension forces between different masses? what are the acceleration of the system? two masses m1 and m2 are lying on a horizontal plane without friction and are connected by a string. the third mass m3 is hanging vertically over a pulley, connected by a string to masses m1 and m2. what are the tension forces between different masses? what are the acceleration of the system? two masses m1 and m2 are lying on a horizontal plane without friction and are connected by a string. the third mass m3 is hanging vertically over a pulley, connected by a string to masses m1 and m2. what are the tension forces between different masses? what are the acceleration of the system?

Explanation / Answer

For m3


m3*g - T32 = m3*a

T32 = m3*g - m3*a             (1)


for m1


T12 = m1*a         (2)


for m2

T32 - T12 = m2*a


m3*g - m3*a - m1*a = m2*a       (3)

from 3

a = m3*g/(m1+m2+m3)

T32 = m3*g - m3*m3*g/(m1+m2+m3)

T32 = m3*g*(m1+m2)/(m1+m2+m3)   <<<<-------answer


T12 = m1*a = m1*m3*g/(m1+m2+m3) <<<<-------answer


acceleration a = m3*g/(m1+m2+m3)   <<<------answer