| 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.
Correct Answer: A
Solution :
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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