Two forces and are at an angle such that the resultant is . The first force is now increased to and the resultant become . The value of is
Explanation for correct option:
Option (d)
Step 1: Given data
First force at initial stage =
Second force at initial stage =
Resultant force at initial stage =
First force at later stage =
Resultant force at later stage =
Step 2: Formula used
Parallelogram rule:
The parallelogram rule says that if we place two vectors so they have the same initial point, and then complete the vectors into a parallelogram, then the sum of the vectors is the directed diagonal that starts at the same point as the vectors.
So,
Step 3: Find Value of
Now, by substituting the given values for initial stage in the above-mentioned formula, we get:
………………………..(1)
Now, we will substitute the given values for later stage in the formula:
……………………….(2)
From doing (1) - (2) we get,
Thus, option (d) is correct.