# Two blocks of masses mT1and 2m are held in equilib-rium on a frictionless inclineT2as in Figure P4.57. In termsof mand 0, find (a) the mag-nitude of the tension T, inthe upper cord and (b) themagnitude of the tension T,in the lower cord connect-ing the two blocks.2mFigure P4.57

Question
1 views help_outlineImage TranscriptioncloseTwo blocks of masses m T1 and 2m are held in equilib- rium on a frictionless incline T2 as in Figure P4.57. In terms of mand 0, find (a) the mag- nitude of the tension T, in the upper cord and (b) the magnitude of the tension T, in the lower cord connect- ing the two blocks. 2m Figure P4.57 fullscreen
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Step 1

The free body diagram is given below

Step 2

the tension on the upe... help_outlineImage TranscriptioncloseFrom the diagram, T = T,+mg sin O (I) T, = 2mg sin 0 (II) Substitute Equation (II) in (I). T, = (2mg sin 0)+(mg sin 0) = 3mg sin e The tension on the upper cord is 3mg sin 0 . fullscreen

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### Newtons Laws of Motion 