An object of weight 50 N is suspended vertically by two strings. The strings are of the same lenght and the angle between them is 60 degree. Draw a free body diagram of the forces acting on the object. Calculate the tension in the strings.

To draw a free body diagram, we need to represent all the forces acting on the object as vectors. In this case, the object is suspended vertically by two strings, so we need to consider the tension forces in the strings and the weight of the object.

Here's how you can draw the free body diagram:

1. Draw a dot to represent the object.
2. Draw a downward arrow from the dot to represent the weight of the object. Label it as "50 N" to indicate that the weight is 50 Newtons.
3. Draw two diagonal arrows coming out from the dot to represent the tension forces in the strings. The angles between the arrows should be 60 degrees.
4. Label the two arrows as "Tension 1" and "Tension 2" to represent the tensions in the two strings.

To calculate the tension in the strings, we can use trigonometry. Since the two strings are of the same length and the angle between them is 60 degrees, we can consider the forces in the x and y directions separately.

Let's assume T1 is the tension in the first string and T2 is the tension in the second string.

In the y direction, the vertical component of T1 cancels out the vertical component of T2, so we have T1 * sin(60) - T2 * sin(60) = 50 N.

In the x direction, the horizontal components of T1 and T2 are equal since the angle between them is 60 degrees, so we have T1 * cos(60) = T2 * cos(60).

Now, we can solve these equations simultaneously to find the values of T1 and T2.

Using the values for sine and cosine of 60 degrees (which are √3/2 and 1/2, respectively), the equations become:

T1 * √3/2 - T2 * √3/2 = 50 N (equation 1)
T1 * 1/2 = T2 * 1/2 (equation 2)

Since equation 2 implies T1 = T2, we can substitute T2 with T1 in equation 1:

T1 * √3/2 - T1 * √3/2 = 50 N
0 = 50 N

This means that there is no valid solution for T1 and T2. It seems there is an error or inconsistency in the problem described. Please double-check the given information or provide additional details to proceed with the calculation.