A uniform metre rule is pivoted at its centre and weight of 5n and 12n are hung at the 3cm and 5cm marks respectively. how far from the pivot must a 25n weight be hung to balance the metre rule horizontally
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Explanation:
consider the centre of ruler be origin
for equilibrium sum of all torques about origin must be zero.
torque of weight 5n is 5n(47). { as distance is 47cm}
torque of weight 12n is 12n(45). { as distance is 45cm}
torque of weight 25n is 25n(x). {let x be the distance for equilibrium}
now for equilibrium,
5n(47) + 12n(45) = 25n(x)
235+540=25x
775=25x
x= 31cm
so 25n weight must be hung 31cm away from the pivot.
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