A metre rule is pivoted at 50 cm mark. A force F1=20N acts at 20 cm mark and another force F2=15N acts at 75 cm mark. Calculate the moment of two forces along with their signs.
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Answer:Let AB be the uniform metre rule, such that C is its midpoint. The metre rule is pivoted at C, such that AC=50cm and CB=50cm. 50 gf weight is suspended near A.
Let D be the point of suspension of 100 gf weight at a distance of x from C, so that the rule is horizontal.
Left hand side moment,
LHM=50×50=2500gfcm.....(1)
Right hand side moment,
RHM=x×100=100×gfcm.....(2)
To keep the rule horizontal,
LHM=RHM
2500=100x⇒x=25cm.
∴ 100 gf is to be suspended at a distance of 25 cm from mid point (or) 75 cm from the end of the rule.
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Answer:
+6 Nm , -3.75 Nm
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