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Assertion: One mass of 10 kg is there in an inclined plane of 30 degrees and is attached with a vertically hanging mass of 20 kg by a string; which passes over a smooth pulley; acceleration of the system is 5ms^{-2}

Reason: acceleration of the system is \frac{m_{2}g-m_{1}gsin\theta }{m_{1}+m_{2}}

Option: 1

Assertion is true


Option: 2

Reason is true


Option: 3

Assertion and Reason both are true, And Reason is the correct explanation for the Assertion


Option: 4

Assertion and Reason both are false


Answers (1)

best_answer

Acceleration for the system is  \frac{m_{2}g-m_{1}gsin\theta }{m_{1}+m_{2}}

Let us put all the values in the equation

\frac{20*10-10*10*\frac{1}{2}}{20+10}=\frac{150}{30}=5ms^{-2}

Posted by

Deependra Verma

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