Mechanical Lab

Instructions

1. The slider here represents the number line referring to the distance of the object from the center in mm i.e for moving the object on the left -side, slide the slider to the direction of the negative numbers, and vice-versa.

2. The slider at first is at the 0mm from the center i.e. it is not moved to any distance.

3. You can slide the slider either to left or in the right direction.

4. Each click on the slider represents the movement of the object from the center by 10mm i.e first click will move the object to 10mm, the second click will move it to 20mm, and so on.

5. The weight of the floating object is already calculated by using the formula W = V*Density of water, where V is the volume of water(V = Z*A) displaced from the tank due to the floating object. The Z is calculated as Z2-Z1.

6. The weight added to the floating body is fixed at 0.3056kg.

7. At each change of distance of the object, the tilt angle(θ) is calculated.

Initialize

Initialize variables

Value of displacement in load (use range slider given below, in mm) :

Step Execution

1. Take an empty tank and fill it with water up, the height of the water level is (Z1).

2. Now place the floating body having weight W in the tank,the water level rises upto Z2.

3. Adjust the floating ship.

4. After adjusting, add load of weight (w) to the horizontal beam of the floating body at centre of the beam.

5. Now displaced the load at a known distance Y from the centre of the beam.

6. Now the floating body will tilt at some angle on one side and observe the tilt angle.

7. Finally, calculate the metacentric height using the given formula.

Metacentric Height = (w*Y)/((W+w)*tan(θ)

where,

Weight of floating body = W
Additional weight added on the horizontal beam of the floating body = w
The distance of w from the center = Y
Tilt angle = θ