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How can I get C
The two moments must be balanced.
moment = force x perpendicular distance from pivot
Perpendicular distance from the pulley weight to pivot = 100cm - 40cm = 60cm
Now you need to use a 50g mass to balance it, to prevent the pulley from pulling the metre rule upwards.
So 60cm x 20g x 10m/s² = distance you want to find x 50g x 10m/s²
1200cm g = 50cm x distance you want to find
Distance you want to find
= 1200cm g ÷ 50g
= 24cm
Since the pulley is pulling the rule up, you have to place the 50g 24cm to the right of the pivot to push down the rule.
40cm + 24cm = 64cm
The answer should be D, not C
clockwise moments = 100 x 10 + 50 x d
anticlockwise moments = 20 x 60
equating together …
100x10 + 50d = 1200
gives d = 4
40+4 = 44
Ans: (C) 44 cm