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Resultant of which of the following may be equal to zero? a) 10N , 10N , 30N b) 10N, 20N, 30N, 40N c) 5N, 10N, 20N, 40N d) None of these Solve the problem with formula and full mathamtical experience.
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Resultant of which of the following may be equal to zero? a) 10N , 10...
Understanding the Question
The question is asking which set of forces can have a resultant of zero.
Solving the Problem
We can use the principle of vector addition to find the resultant of each set of forces. If the magnitude of the resultant is zero, then the forces are said to be in equilibrium and the answer to the question is that the set of forces can have a resultant of zero.
Formula
The formula for finding the resultant of a set of forces is:
R = F1 + F2 + F3 + ... + Fn
where R is the resultant force and F1, F2, F3, ..., Fn are the individual forces.
Calculations
Set A: 10N, 10N, 30N
R = 10N + 10N + 30N = 50N
The magnitude of the resultant force is not zero, so this set of forces cannot have a resultant of zero.
Set B: 10N, 20N, 30N, 40N
R = 10N + 20N + 30N + 40N = 100N
The magnitude of the resultant force is not zero, so this set of forces cannot have a resultant of zero.
Set C: 5N, 10N, 20N, 40N
R = 5N + 10N + 20N + 40N = 75N
The magnitude of the resultant force is not zero, so this set of forces cannot have a resultant of zero.
Conclusion
None of the sets of forces can have a resultant of zero.
Community Answer
Resultant of which of the following may be equal to zero? a) 10N , 10...
Answer is (b) 10 20 30 40Reason:- Take any two vectors and add them (20+10=30) so our new magnitudes are 30 30 and 40. Now choose and two vectors like 40 and 30. Their max value is 70 and minimum is 10 (40+30 and 40-30) If the third vector lies in the rabge 10-70 the resultant can be 0 which is true in this case (30 lies between 10&70) . Try this with other options and you will not get same result
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Resultant of which of the following may be equal to zero? a) 10N , 10N , 30N b) 10N, 20N, 30N, 40N c) 5N, 10N, 20N, 40N d) None of these Solve the problem with formula and full mathamtical experience.
Question Description
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