A uniform have meter rule is freely pivoted at 15cm mark and it balancesd horizontal when a body of mass 40g is huge from the 2cm mark .draw a clear force diagram of the rule (Ans =25g)
To draw a force diagram of the meter rule, we need to consider the forces acting on it.
1. Gravitational force (weight): This force acts vertically downward from the center of mass of the meter rule. It can be represented by a downward arrow labeled "W" and its magnitude is equal to the mass of the meter rule multiplied by the acceleration due to gravity (g).
2. Support force (pivot): The pivot point exerts an upward force on the meter rule, perpendicular to its length. This force counteracts the gravitational force acting downward. It can be represented by an upward arrow labeled "P".
3. Tension force: When the body of mass 40g is hung from the 2cm mark, it creates a tension force in the meter rule. This force acts vertically downward at the 2cm mark. It can be represented by a downward arrow labeled "T".
Now, let's analyze the forces at equilibrium:
Since the meter rule is balanced horizontally, there are no horizontal forces acting on it. Thus, the net torque about the pivot point is zero.
The torque due to the gravitational force is given by (perpendicular distance from the pivot point) × (force magnitude), which can be represented as (15 cm) × (W).
The torque due to the tension force is given by (perpendicular distance from the pivot point) × (force magnitude), which can be represented as (13 cm) × (T).
Since the meter rule is balanced, the torque due to the gravitational force must be equal to the torque due to the tension force.
So, (15 cm) × (W) = (13 cm) × (T).
Now we can solve this equation to find the weight W of the meter rule:
W = (13 cm / 15 cm) × T.
Given that the mass of the hanging body is 40g, we can calculate the tension force T as the weight of the body:
T = (40g) × (g).
Finally, substitute this value of T back into the equation to find the weight W:
W = (13 cm / 15 cm) × (40g) × (g).
Calculate the value of W and convert it from grams to grams (since the answer is given in grams) to get the final answer.
So, the force diagram will include arrows labeled "W" (downward arrow at the center of mass of the meter rule), "P" (upward arrow at the pivot point), and "T" (downward arrow at the 2cm mark). The weight of the meter rule will be 25g according to the given answer.