The pulleys and strings shown in the figure


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the pulleys and strings shown in figure are smooth and of negligible mass . for the system to remain in equilibrium , the angle theta should be

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45°The Tension in the string is mg as no acceleration T-mg=m(0) =>T=mg. Next the component of T i.e. Tcos(theta)Balance √2mg since both sides of the system are symmetrical then 2Tcos(theta)=√2mg =>2mgcos(theta)=√2mgCos(theta )=1/√2=>theta =45°


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