The rotating systems shown in the figure differ only in that the two identical movable masses are positioned a distance r from the axis of rotation (left), or a distance $r / 2$ from the axis of rotation (right). If you release the hanging blocks simultaneously from rest, and call $t _ { \mathrm { L } }$ the time taken by the block on the left and $t \mathrm { R }$ the time taken by the block on the right to reach the bottom, respectively, then A) ${ } ^ { t } \mathrm {~L} = { } ^ { t } \mathrm { R }$ B) $t _ { L } t R$ C) $t L

Question

The rotating systems shown in the figure differ only in that the two identical movable masses are positioned a distance  r  from the axis of rotation (left), or a distance $r / 2$ from the axis of rotation (right). If you release the hanging blocks simultaneously from rest, and call $t _ { \mathrm { L } }$ the time taken by the block on the left and $t \mathrm { R }$ the time taken by the block on the right to reach the bottom, respectively, then

A) ${ } ^ { t } \mathrm {~L} = { } ^ { t } \mathrm { R }$ 
B) $t _ { L } > t R$ 
C) $t L < t R$

Quizplus · Accepted Answer

The Answer of The rotating systems shown in the figure differ only in that the two identical movable masses are positioned a distance  r  from the axis of rotation (left), or a distance $r / 2$ from the axis of rotation (right). If you release the hanging blocks simultaneously from rest, and call $t _ { \mathrm { L } }$ the time taken by the block on the left and $t \mathrm { R }$ the time taken by the block on the right to reach the bottom, respectively, then

A) ${ } ^ { t } \mathrm {~L} = { } ^ { t } \mathrm { R }$ 
B) $t _ { L } > t R$ 
C) $t L < t R$

The Rotating Systems Shown in the Figure Differ Only in That