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25. Consider the situation shown in figure (5-E9). All thesurfaces are frictionless and the string and the pulleyare light. Find the magnitude of the acceleration of thetwo blocks.1.0 kg1.0 kg3 m4 m5 mFigure 5-E9 |
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Answer» It is clear that the triangle is a right angled triangle and the vertex angle at pulley is 90°. See the diagram below. Let angle ACB = θ . The component of weight mg along the 3 m side =mg.cosθ = 4mg/5. The component of weight mg along the 4 m side =mg.sinθ = 3mg/5.Let tension in the string be T and the acceleration of the blocks along planes be a. Consider the forces and acceleration along the plane on left side block, 4mg/5 - T = ma, →T=4mg/5-ma ........... (A) Consider the forces and acceleration along the plane on right side block, T-3mg/5 =ma, 4mg/5-ma-3mg/5=ma, {Putting the value of T from (A)} → 2ma = mg/5 → a=g/10. So the acceleration of the blocks is g/10.Read more on Sarthaks.com - https://www.sarthaks.com/42665/consider-the-situation-shown-in-figure-5-e9-all-the-surfaces-are-frictionless |
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