Question

A meter stick has a mass of 0.167 kg and balances at its center. When a small chain is suspended from one end, the balance point moves 21.6 cm toward the end with the chain. Determine the mass of the chain.

Answer 1

Answer:

0.127 kg

Explanation:

from the question we are given

mass of stick (m) = 0.`67 kg

length = 1 m

initial position of pivot (Li) = 0.5 m

change in position of pivot (Lf) = 0.216 m            

We can calculate the mass of the chain by calculating the moment about the final pivot after the chain has been attached

take note the the center of gravity would be at the center of the stick

distance of the center of gravity from the new pivot (Lcg) = 0.216 m

distance of the pivot from the chain (Lc)= 0.5 - 0.216 = 0.284 m

let the mass of the chain be Mc

therefore

Mc x Lc = m x Lcg

Mc x 0.284 = 0.167 x 0.216

Mc = (0.167 x 0.216) ÷ (0.284)

Mc = 0.127 kg