Answer:
Step-by-step explanation:
The value of weight X can be determined by considering the principle of equilibrium. In equilibrium, the sum of all the forces acting on an object is zero, and the sum of all the torques (or moments) acting on the object is also zero.
In this case, the bar is in equilibrium, so the sum of the forces and torques acting on it must be zero.
Let's consider the forces acting on the bar. We have the weight of the bar itself acting downwards and the weight of weight X acting downwards as well. These forces create a clockwise torque. To balance this torque, there must be an equal and opposite counterclockwise torque.
The counterclockwise torque is created by the weight of weight Y acting downwards at a distance from the fulcrum. The weight Y creates a counterclockwise torque because it is further from the fulcrum compared to weight X.
Since the bar is in equilibrium, we can set up an equation:
(Torque created by weight X) + (Torque created by weight Y) = 0
The torque created by weight X can be calculated as the product of the weight X and its distance from the fulcrum. Let's call this distance "d".
The torque created by weight Y can be calculated as the product of the weight Y and its distance from the fulcrum. Let's call this distance "D".
Since the torques must be equal and opposite:
(weight X) * (distance d) = (weight Y) * (distance D)
Simplifying the equation, we can determine the value of weight X:
weight X = (weight Y) * (distance D) / (distance d)
By plugging in the known values of weight Y, distance D, and distance d, we can calculate the value of weight X.
It is important to note that without the figure or specific values for weight Y, distance D, and distance d, we cannot provide an exact numerical value for weight X. However, by following the steps outlined above, you should be able to calculate the value of weight X once you have the necessary information.