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mother and child are at opposite ends of a playground see-saw. The mother weighs 690 N
and the child weighs 140 N. The mother sits 0.3 m from the pivot.
answer the questions given below
Answers & Comments
Answer:
Clockwise force (child), Fchild = 140 N
Anticlockwise force (adult), Fadult = 690 N
Distance of adult from the pivot, dadult = 0.3 m
Step 2: Write down the relevant equation
Moment = force × distance from pivot
For the see-saw to balance, the principle of moments states that
Total clockwise moments = Total anticlockwise moments
Step 3: Calculate the total clockwise moments
The clockwise moment is from the child
Momentchild = Fchild × dchild = 140 × dchild
Step 4: Calculate the total anticlockwise moments
The anticlockwise moment is from the adult
Momentadult = Fadult × dadult = 690 × 0.3 = 207 Nm
Step 5: Substitute into the principle of moments equation
140 × dchild = 207
Step 6: Rearrange for the distance of the child from the pivot
dchild = 207 ÷ 140 = 1.48 m
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