1. A meter stick is balanced at its center. When you hang different mass blocks from different positions on the stick, as shown below, the stick remains balanced. Draw all forces exerted on the stick. Remember to include the force exerted by the Earth on the stick. Describe a rule that can be used show that the meter stick will remain balanced. 10 50 70 90 20 40 50 100 cm cm cm cm cm cm cm cm 100 g 100 g 100 g 100 g 200 g 10 50 100 10 50 60 cm cm cm ст cm cm d. 100 g 80 g 100 g 400 g Describe the rule you devised.

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Answer:

a.

Consider the following figure which shows the all forces involved in the given situation.

Here, W represents the weight of meter stick, N is the normal reaction force acting on the meter stick at the fulcrum or pivot, and W₁, W₂, and W₃ are the weights suspended from the meter stick (see figure).

Now, we need to calculate the clockwise and anticlockwise moments due to the weights suspended from the rule about the center of the meter stick.

The clockwise moment is calculated in the following way.

Here, m represent the mass and d represent the distance of the respective mass from the center of the meter stick.

The anticlockwise moment is calculated in the following way.

According to equations (1) and (2), it is evident that the total clockwise moment of the meter stick about the center of the rule is equal to the total anticlockwise moment of the meter rule about the center of the rule. This means that the net moment of the meter stick about the center is equal to zero. This is the condition of the equilibrium.