Question

A 400 mm k = 150 N/m 200 mm B The collar of negligible size has a mass of 0.25 kg and is attached to a spring having an unstretched length of 100 mm. If the collar is released from rest at A and travels along the smooth guide, determine its speed just before it strikes B. 

          A
400 mm
k = 150 N/m
200 mm
B
The collar of negligible size has a mass of 0.25 kg and is attached to a spring having an unstretched length of 100 mm. If the collar is released from rest at A and travels along the smooth guide, determine its speed just before it strikes B.
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A 400 mm k = 150 N/m 200 mm B The collar of negligible size has a mass of 0.25 kg and is attached to a spring having an unstretched length of 100 mm. If the collar is released from rest at A and travels along the smooth guide, determine its speed just before it strikes B.

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University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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400 mm k = 150 N/m 200 mm The collar of negligible size has a mass of 0.25 kg and is attached to a spring having an unstretched length of 100 mm. If the collar is released from rest at A and travels along the smooth guide, determine its speed just before it strikes B.
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Transcript

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00:01 Hello student, to solve the given question, we can use the conservation of energy principle, that is the total energy initial will be equal to the total energy final.
00:11 So if we plug in the values here for total energy, that will be half mva square plus mgha plus half kxa square equals 1 by 2 mv b.
00:30 Square plus mghb plus half kx b square now we have all the values that we need except for the value vb which we need to be calculated now here v a is zero and hb is also zero so these two terms will get cancelled so we can write 0 plus mghe a will be 0 .25 multiply by 9 0 .8, multiply by 0 .6 plus half k is 150, multiply by 0 .6 minus 0 .1 squared equals, the next terms will be 1 by 1 by 2, 0 .25, multiply by vb square, plus 0, 15 .5, plus half 150, multiply by 0 .4 minus 0 .1 squared...
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