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Two blocks of mass 2 kg and 5 kg are con...

Two blocks of mass 2 kg and 5 kg are connected by an ideal string passing over a pulley. The block of mass 2 kg is free to slide on a surface inclined at an angle of `30^@` with the horizontal whereas 5 kg block hangs freely. Find the acceleration of the system and the tension in the string.

Text Solution

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Let a be the acceleration of the system and T be the tension in the string. Equations of motions for 5 kg and 2 kg blocks are 5g - T = 5a ...(1)
`T = 2 g sin theta - f = 2a` ...(2)
where f= force of limiting friction
`mu R = mu mg cos theta = 0.3 xx 2 g xx cos 30^@`
solving (1) and (2)
`a = 4.87 m//s^2`
`T = 24.65 N`
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