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Question

A 4 m long rod of negligible weight is supported at a point 125 cm from its one end and a load of 18 kgf is suspended at a point 60 cm from the support on the shorter arm.

(a) if a weight W is placed at a distance of 250 cm from the support on the longer arm, find W.

(b) If a weight 5 kgf is kept to balance the rod, find the position.

(c) To which class of lever does it belong?


Solution

Total length of rod =  4 m = 400 cm

(a) 15 kgf load is placed at 60 cm from the support.

W kgf weight is placed at 250 cm from the support.

By the principle of moments,

18×60=W×250W=4.32 kgf

(b) Given W = 5 kgf

18 kgf load is placed at 60 cm from the support.

Let 5 kgf is placed at d cm from the support.

By the principle of moments,

18×60=5×dd=216 cm

d = 216 cm from the support on the long arm.

(c) It belongs to the class I lever.


Physics

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