Final answer:
The mass of the triangle in a balanced hanger diagram can be determined using torque balance. By assigning variables to the masses of the circles and squares, and using the principle of torque balance, we can find the relationship between the masses and calculate the mass of the triangle.
Step-by-step explanation:
In a balanced hanger diagram, the mass of the triangle can be determined by considering the principle of torque balance. Torque is the product of the force applied and the distance from the pivot point. Since the diagram is balanced, the torques on both sides of the pivot point must be equal.
Let's assign variables to the masses of the circles and squares. Let's say the mass of one circle is x grams and the mass of one square is y grams. Since there are 3 circles and 2 squares in the triangle, the total mass of the triangle is 3x + 2y grams.
Since the diagram is balanced, the torques on both sides of the pivot point must be equal. If we take the left side of the pivot point as the reference point and consider clockwise torques as positive and counterclockwise torques as negative, then the torque equation can be written as:
3x * r = 2y * d
where r is the distance of the circle from the pivot point and d is the distance of the square from the pivot point. By solving this equation, we can find the relationship between x and y, and then substitute the values of x and y to find the mass of the triangle.
Therefore, the correct answer is B) 7/5 grams.