Find the reading of the spring balance shown in the figure. The elevator is going up with an acceleration of G/10 the pulley and the string are light and the pulley is smooth.
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Answer:
132g/10 or 132 N if g = 10m/s^2
Explanation:
In the reference frame of the elevator, the whole system is under an extra g/10 acceleration acting downwards, also called pseudo acceleration.
spring balance will read 2 × tension in the spring
let's calculate the tension.
a = net acceleration of blocks
left:
T - 1.5(g + g/10) = 1.5 × a
3.0(g + g/10) - T = 3.0 × a
so, T - 1.5(11g/10) = 1.5(11g/10) - T/2
T/2 = 3(11g/10)
2T = 132g/10 = spring balance reading
or 132 N if g = 10m/s^2
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