1) A spring stretches 5.0cm when a 0.30kg block is hung from it. If a 0.60kg blo

Question

1)  A spring stretches 5.0cm when a 0.30kg block is hung from it. If a 0.60kg block replaces the 0.30kg block, how far does the spring stretch?

DeltaX=________cm

2) How close to the right edge of the 56kg picnic table shown in the figure can a 84kg man stand without the table tipping over?

kgkg

A spring stretches 5.0cm when a 0.30kg block is hung from it. If a 0.60kg block replaces the 0.30kg block, how far does the spring stretch? Delta X = cm How close to the right edge of the 56kg picnic table shown in the figure can a 84kg man stand without the table tipping over?

Explanation / Answer

1) F = k * dX

so F1 / F2 = dX1 / dX2

dX2 = dX1 * F2 / F1 = 5 * 10 ^-2 * 0.3 * 9.81 / 0.6 * 9.81 = 2.5 * 106-2 = 10 cm

2) Total force in vertical directions will 56 + 84 )* 9.81 = 1373.4 N

so the 2 bottom structures will be exerting an equal force upwards of 1373.4 /2 = 686.7 N

let the man be at distance x from right

consider moment about mid point at 1.1 m

then 686.7 * 0.5 +686.7 * 0.5 = 84 * 9.81 * X

X = 0.8333 m at this value man canstand

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