A uniform meter stick balances on a fulcrum placed at the 40 cm mark when a weight W is placed at 30 cm mark. What is the weight of the meter stick? How to calculator it ?

To calculate the weight of the meter stick, we can use the principle of moments or the lever rule.

Step 1: Set up the equation using the principle of moments.
The principle of moments states that the sum of the clockwise moments is equal to the sum of the anticlockwise moments. In this case, the anticlockwise moment due to the meter stick (weight W) is balanced by the clockwise moment due to the weight of the meter stick itself.

Step 2: Calculate the moments.
The moment of a force is given by the formula: moment = force x distance.

In this case, the clockwise moment is given by:
Moment_cw = Weight_of_meter_stick x Distance_of_fulcrum = W_m x 40 cm

The anticlockwise moment is given by:
Moment_acw = Weight_W x Distance_W = W x 30 cm

Step 3: Set up the equation.
According to the principle of moments, we have:
Moment_cw = Moment_acw

This can be written as:
W_m x 40 cm = W x 30 cm

Step 4: Solve for the weight of the meter stick.
To calculate the weight of the meter stick (W_m), we need to rearrange the equation:
W_m = (W x 30 cm) / 40 cm

Step 5: Plug in the given values.
Substitute the given values into the equation:
W_m = (W x 30 cm) / 40 cm

Step 6: Simplify and calculate.
Simplify the equation and calculate the weight of the meter stick:
W_m = (3/4)W

So the weight of the meter stick is three-fourths of the weight W.

Alternatively, if you have the weight W in grams or kilograms, you can simply multiply it by 3/4 to find the weight of the meter stick.

To calculate the weight of the meter stick, we need to understand the concept of torque and how it relates to balance.

Torque is the measure of a force's tendency to cause rotation around an axis or pivot point. In this case, the pivot point is the fulcrum, and we want the meter stick to be balanced, meaning it is not rotating.

The torque on one side of the fulcrum due to the weight of an object is given by the formula:

Torque = Force * Distance

In this scenario, let's say the weight of the meter stick is W (unknown) and it acts downward at the center of mass of the stick, which is at the 50 cm mark. The distance from the fulcrum to the weight is 10 cm.

On the other side of the fulcrum, where the weight W is placed at the 30 cm mark, the distance to the fulcrum is 10 cm.

Since the meter stick is balanced, the torques on both sides of the fulcrum must be equal. Therefore:

Torque on one side = Torque on the other side

Now we can calculate the torques on each side:

Torque on the left side = Weight of the meter stick * Distance to the fulcrum (40 cm)
Torque on the right side = Weight placed at 30 cm mark * Distance to the fulcrum from the weight (10 cm)

Equating these, we get:

Weight of the meter stick * 40 cm = Weight placed at 30 cm mark * 10 cm

Now we can plug in the known values:

W * 40 cm = Wplaced * 10 cm

To solve for W (the weight of the meter stick), divide both sides of the equation by 40 cm:

W = Wplaced * 10 cm / 40 cm

Now we can substitute the known value - the weight placed at the 30 cm mark:

W = Wplaced * 10 cm / 40 cm

Finally, simplify the equation:

W = Wplaced * 0.25

So the weight of the meter stick is equal to a quarter of the weight placed at the 30 cm mark.

To calculate the weight of the meter stick, you would need to know the weight placed at the 30 cm mark. Once you have that value, simply multiply it by 0.25 to get the weight of the meter stick.

Whoops! My computer is sending off answers before they are done. The ruler weight W' acts at the 50 cm mark. Let W be the weight added at the 30 cm mark to produce balance.

Set the total moment about the fulcrum equal to zero.

W*10 - W'*10 = 0
W = W'

You need to know the force that produces balance, W, in order to compute the ruler weight, W'.

"Calculator" is a noun. I suspect you meant to wrote the verb "calculate".

To get the weight, set the moment about the fulcrum e