a 5. A particle starts from rest at a distance b from a fixed point, under the action of a towards force through the fixed point, the law of which at a distance x isu (1-9tow the point when x > a butui from the same point when x < a ; prove that X X the particle will oscillate through a space (62 - a)/b.
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Answer:
Step-by-step explanation:
Given,
s=t
2
+at−b+17
After 5s,
[
dt
ds
]
t=5
=[2t+a]
t=5
=0
⇒a=−10
At t=5s,s=25 units
∴25=5
2
+5a−b+17 [∵s=25 and t=5]
⇒25=25+5(−10)−b−b+17
⇒50−17=−b
⇒b=−33
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