Question
Two blocks of masses m1 = 3kg and m2 = 5kg are connected by a light string passing over a smooth light pulley fixed at the end of a horizontal rough table. The mass m1 is hanging and mass m2 lies on the horizontal surface. Find acceleration of the system and tension in the string. The coefficient of friction between block and the surface of table as 0.4.
Solution
Let a be acceleration of system and T be the tension in the string.
Equation of motion of mass m1 is,
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...(1)
Equation of motion of mass
is,
...(2)
Adding equation (1) and (2), we have
g = 8a
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Substituting 'a' in equation (2), we have
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T is the required tension in the string.
Equation of motion of mass m1 is,
...(1) Equation of motion of mass
is, ...(2)Adding equation (1) and (2), we have
g = 8a
Substituting 'a' in equation (2), we have
T is the required tension in the string.
