• question_answer Direction: For the following questions choose the correct answers from the codes [a], [b], [c] and [d] defined as follows. Statement I If there is no slipping between pulley and string, in an at wood machine the tangential acceleration of a point on the rim of the pulley does not depend upon the radius of the pulley. Statement II The linear acceleration of the masses in an at wood machine depends upon the mass of pulley but not on the radius of the pulley. A)  Statement I is true, Statement II is also true and Statement II is the correct explanation or Statement I. B)  Statement I is true, Statement II is also true but Statement II is not the correct explanation of Statement I. C)  Statement I is true, Statement II is false. D)  Statement I is false, Statement II is true.

Acceleration at this situation is given by $a=\frac{({{m}_{1}}-{{m}_{2}})g}{\left( {{m}_{1}}+{{m}_{2}}+\frac{{{m}_{p}}}{2} \right)}\Rightarrow \,{{m}_{p}}=$ mass of pulley Here, we see that only mass of the pulley ${{m}_{p}}$ is involved in the above equation and not the radius of the pulley is involved in the equation.
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