A 1.60-m-long barbell has a 25.0 kg weight on its left end and a 37.0 kg weight on its right end. you may want to review (pages 204 - 205). part a if you ignore the weight of the bar itself, how far from the left end of the barbell is the center of gravity

Question

Physics

Lorenzo Cochran

26 January, 09:55

A 1.60-m-long barbell has a 25.0 kg weight on its left end and a 37.0 kg weight on its right end. you may want to review (pages 204 - 205). part a if you ignore the weight of the bar itself, how far from the left end of the barbell is the center of gravity

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Reed · Answer 1

Refer to the diagram shown below.

The weight at the left end is

W₁ = (25.0 kg) * (9.8 m/s²) = 245 N

The weight at the right end is

W₂ = (37.0 kg) * (9.8 m/s²) = 362.6 N

The reaction at the fulcrum is

R = W₁ + W₂

Let x = distance of the fulcrum (c. g.) from the left end.

For equilibrium, take moments about the center of gravity (c. g).

(245 N) * (x m) - (362.6 N) * (1.6-x m) = 0

245x - 580.16 + 362.6x = 0

607.6x = 580.16

x = 0.955 m

Answer: 0.955 m