5/16/2023 0 Comments Plumb bob diagram![]() The resultant of these two vectors must gives us a horizontal force vector pointing to the left then, since the bob need a centripetal force pointing to the centre of the rotation around the Earth axis (we assume that the Earth axis is vertical for the sake of simplicity in this case). So try and reconstruct a diagram according to these suggestions. These are the only two forces that the bob is experiencing. A spirit level will also accomplish those tasks, but some jobs are much more easily. We therefore are drawing the bob when it is located at the rigthmost point in its rotation around the Earth axis. The plumb bob is useful in establishing vertical for a wall in construction or a doorjamb when hanging a door. The end of the string will stretch up towards the left from this centre point of the bob which means that this vector will intersect the vertical at an angle \theta. So in your diagram the bob should be located at the apex (top angle) of the triangle. This vector should start with its tail from the centre of the bob and point towards the centre of the earth. first year lets make the free body diagram of our Bob here this is a bob and tension force. The gravity vector (weight of the bob) will be directed towards the centre of the earth. A plumb bob is hung from the ceiling of a train compartment. Well, the negative sign surprised me.Ĭan someone tell me if I am on the right track? T is tension in string, R is radius of the earth. ![]() The forces along X: T cos(35 theta) - mg cos 35 = mv^2/(R cos 35) The forces along Y: T sin(35 theta) - mg sin 35 = 0 PART A-Analysing forces Draw the free-body diagram for the bob, and write down the force-acceleration equations in the radial (r) and vertical (z) directions. In this system, g intersects the X axis at angle 35 degrees, and the string/plumb bob intersects X axis at an angle of theta 35 degrees, (theta being the deflection angle). ![]() ![]() I have a y-axis parallel to the axis of the earth, and x-axis perpendicular to this. I have been struggling with this, I thought I had solved it, but it is different from the answer in the back of the book, so I thought I would ask for some help. I have to find the angle of deflection caused by the rotation of the Earth on a freely hanging plumb bob at 35 degrees north latitude. ![]()
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