It's fairly basic trigonometry. The angle, θ, is obtuse, so you might be better off considering the angle π - θ which is acute. You can then more directly see that you need to use sin(π - θ) by considering opposite/hypotenuse.theone said:
The theta you considered is not the same with the theta that is shown in the figure on the left.theone said:
A component of weight perpendicular to a bar is a force that is exerted on a bar in a direction that is perpendicular to its length. This force is typically caused by the weight of an object that is hanging or resting on the bar.
The component of weight perpendicular to a bar can be calculated by multiplying the weight of the object by the cosine of the angle between the bar and the direction of the weight. This calculation is based on the concept of vector components.
The component of weight perpendicular to a bar is only a part of the total weight of an object. It is the force that is specifically acting on the bar in a direction perpendicular to its length. The total weight of an object includes all forces acting on it in all directions.
The component of weight perpendicular to a bar is important in determining the stability and strength of structures. It helps engineers and architects calculate the load bearing capacity of bars and other supporting structures, to ensure that they can safely support the weight of objects.
Yes, the component of weight perpendicular to a bar can change if the angle between the bar and the direction of the weight changes. This can happen if the object is moved or the bar is rotated or repositioned. The weight itself may also change, which would affect the magnitude of the component of weight perpendicular to the bar.