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The 3.10 kg cube in Fig. 15-45 has edge lengths d = 7.80 cm and is mounted on an

ID: 2054960 • Letter: T

Question


The 3.10 kg cube in Fig. 15-45 has edge lengths d = 7.80 cm and is mounted on an axle through its center. A spring (k = 1100 N/m) connects the cube's upper corner to a rigid wall. Initially the spring is at its rest length. If the cube is rotated 2.00 and released, what is the period of the resulting SHM?

The 3.10 kg cube in Fig. 15-45 has edge lengths d = 7.80 cm and is mounted on an axle through its center. A spring (k = 1100 N/m) connects the cube's upper corner to a rigid wall. Initially the spring is at its rest length. If the cube is rotated 2.00½ and released, what is the period of the resulting SHM?

Explanation / Answer

I = -Kx d/2
I = md^2 /6
= - (k x 3 2 ) /md
a = - (k x 3 2 )* 1/2 /m

a = - (3K ) /m x
therefore time period of oscilation is = 2*pi *m/ k 3 = 2*pi*(3.1/ 1100 3) = 0.192 seconds