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A uniform meter rule of weight 2.0N is pivoted at the 0.40M mark . A 2.0N weight is hung from the 0.15m mark. Where must a 2.0N weight be place to balance the meter rule?
SOLUTION
To balance the meter rule, you need to ensure that the torque (moment) on one side of the pivot is equal to the torque on the other side. Torque is calculated as the product of force and distance from the pivot point.
First, let's calculate the torque due to the 2.0N weight at the 0.40m mark:
Torque1 = Force1 × Distance1
Torque1 = 2.0N × 0.40m
Torque1 = 0.80 N·m
Now, let's calculate the torque due to the 2.0N weight at the 0.15m mark (the unknown position):
Torque2 = Force2 × Distance2
To balance the meter rule, Torque2 should be equal to Torque1. So:
2.0N × Distance2 = 0.80 N·m
Now, we can solve for Distance2:
Distance2 = 0.80 N·m / 2.0N
Distance2 = 0.40m
So, the 2.0N weight should be placed at the 0.40m mark on the meter rule to balance it.
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