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2 years ago

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PLEASE HELP ME! A uniform rod XY of weight 2.0 N has a length of 80 cm. The rod is suspended by a thread 20 cm from end X. A wei

ght of 5.0 N is suspended from end X. A student hangs a 6.0 N weight on the rod so that it is at equilibrium. What is the distance of the 6.0 N weight from end X.

1 answer:

weeeeeb [17]2 years ago

8 0

Given: Length of rod (L) = 80 cm

Weight of rod (W) =2.0 N

From the attached pictorial diagram,

XY = 80 cm,,XC = 40 cm, XA = 20 cm, AC = 20 cm

Let AB = z cm

<u>Apply the principle of moment about the thread,</u>

5.0 N × AX = (6.0 N × AB) + (2.0 N ×AC)

or, 5.0 N × 20 cm = (6.0 N × z cm) + (2.0 N ×20 cm)

or. AB = z = 10 cm

Now, distance XB = XA + AB = 20 cm + 10 cm = 30 cm

Hence, 6.0 N weight should be suspended from X end at distance of 30 cm

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