Question

In $Fig.6.334$, a person wants to rise a block lying on the ground to a height h. In both the cases, if the time required is same, then in which case he has to exert more force? Assume pulleys and strings light.

• A. $F_1>F_2$
• B. $F_1<F_2$
• C. Same in both
• D. Cannot be determined

Answer 1

The correct option is A $F_1>F_2$

Since it takes same time for both the masses to reach the height $h$, acceleration is the same.

writing equations for (1) and (2)

$F_1=ma$ $2F_2=ma$

$\Rightarrow F_2<F_1$