MCQ
The mechanical advantage of an ideal single movable pulley is ________ .
- A1
- ✓2
- Cless than 2
- Dless than 1
✓
Answer
Correct option: B.
2
The mechanical advantage of an ideal single movable pulley is 2 . Derivation: Consider the diagram given below:
Here the load $L$ is balance by the tension in two segments of the string and the effort $E$ balances the tension $T$ at the free end, so $L = T + T =2 T$ and $E = T$
Assumption: Weight of the pulley is negligible.
We know that,
$
\text { M.A }=\frac{\operatorname{Load}(L)}{\text { Effort }(E)}=\frac{2 T}{T}=2
$
Thus, a single movable pulley has a M.A. equal to 2 .
Here the load $L$ is balance by the tension in two segments of the string and the effort $E$ balances the tension $T$ at the free end, so $L = T + T =2 T$ and $E = T$
Assumption: Weight of the pulley is negligible.
We know that,
$
\text { M.A }=\frac{\operatorname{Load}(L)}{\text { Effort }(E)}=\frac{2 T}{T}=2
$
Thus, a single movable pulley has a M.A. equal to 2 .
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