After gluing two 0.70-kg blocks together, you determine that you can pull the blocks apart with...
After gluing two 0.70-kg blocks together, you determine that you can pull the blocks apart with a force of 25 N . You attach the top block to a vertical spring for which the spring constant is 500 N/m .
What is the maximum possible amplitude of oscillation for which the glue can keep the blocks together?
Homework Answers
Suppose the blocks are exactly at the bottom of an oscillation,
just between moving down and back up.
The weight force on one of the 0.7kg blocks is 6.86 N. If the
upward acceleration on the same block
= 25 - 6.86 = 18.14 N, the total force will be 25 N.
So a = 18.14/0.7 = 25.91 m/s² = ω²A where A is the amplitude.
ω = √k/m) = √(500/1.4) => ω = 18.8982
25.91 = 18.8982^2*A
A = 0.072548 m
A = 7.255 cm
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