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If the resultant forces inclined at 60° to each other is ✓3Q, what will be their resultant if they are inclined at 120° to each other.

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Asked by brijk456 1st August 2019, 9:58 AM
Answered by Expert
Answer:
Let direction of one of force coincide with the direction of x-axis,  
 
so that  this force F = |F| i and  other force F = (|F|/2) i + ( √3 /2 ) |F| j
 
Resultant of two forces  = (3/2) |F| i + ( √3 /2 ) |F| j  and its square of magnitude = 3 |F|2 = 3 Q2
 
Hence magnitude of each force is Q units
 
If one of force making angle 120° with other,  then this force  F = -(1/2) |F| i + ( √3 /2 ) |F| j  
 
Then resultant will be (1/2) |F| i + ( √3 /2 ) |F| j  and its magnitude is  |F|  or  Q
Answered by Expert 1st August 2019, 3:43 PM
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