A uniform, 274-N rod that is 1.86 m long carries a 225-N weight at its right end

Question

A uniform, 274-N rod that is 1.86 m long carries a 225-N weight at its right end and an unknown weight Wtoward the left end (see the figure (Figure 1) ). When Wis placed 54.2 cm from the left end of the rod, the system just balances horizontally when the fulcrum is located 77.3 cm from the right end.

Part A

Find W.

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Part B

If W is now moved 26.1 cm to the right, how far must the fulcrum be moved to restore balance?

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Part C

If W is now moved 26.1 cm to the right, in what direction must the fulcrum be moved to restore balance?

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Figure 1 of 1

A uniform, 274-N rod that is 1.86 m long carries a 225-N weight at its right end and an unknown weight Wtoward the left end (see the figure (Figure 1) ). When Wis placed 54.2 cm from the left end of the rod, the system just balances horizontally when the fulcrum is located 77.3 cm from the right end.

Part A

Find W.

W =   N  

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Part B

If W is now moved 26.1 cm to the right, how far must the fulcrum be moved to restore balance?

x =   m  

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Part C

If W is now moved 26.1 cm to the right, in what direction must the fulcrum be moved to restore balance?

If is now moved 26.1  to the right, in what direction must the fulcrum be moved to restore balance? to the left to the right

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Figure 1 of 1

225 N

Explanation / Answer

Balancing moment of arm from fulcrum

274 (93-77.3) + W ( 186-131.5) = 225(77.3)

4301.8 + W(54.5) = 17392.5

W = 240.196 N

b) let fulcrum be at "x" cm from right end.

240.196 (186 - 80.3 - x) + 274 ( 99-x) = 225 (x)

240.196 ( 105.7-x) + 27126 - 274x = 225x

25388.7172 - 240.196 x + 27126 = 499x

52514.7172= 739.196 x

x= 71.04 cm

3) to the right

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