Question

Two forces F & 2F act on a particle. If the first force being double and second force is increased by 16N with direction of resultant remain unaltered. Find the value of F ?

Answer 1

Answer:

If the direction of the resultant force does not change, it means the angle between them remain the same.

Assuming the angle was initially 45 degrees, it will remain the same

Tan 45 = 2F/2F = 1

First force is doubled, it becomes = 4F

16N is added to the second force, it becomes = 2F + 16

Tan 45 = 4F/(2F + 16) = 1

4F = 2F + 16

2F = 16

F = 8

Answer 2

Answer:

here f=8 .... for clarification look above ans ....