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A body of mass 1kg is moving on the x axis under the action of a force such that its variation of PE as a function of time is given by U=x-x^2.Find its (1)equilibrium position and tell its nature (2)velocity at equilibrium position if its velocity at origin is 2m/s.

A body of mass 1kg is moving on the x axis under the action of a force such that its variation of PE as a function of time is given by U=x-x^2.Find its (1)equilibrium position and tell its nature
(2)velocity at equilibrium position if its velocity at origin is 2m/s.

Grade:11

2 Answers

Arun
25750 Points
6 years ago
Dear student
 
At equilibrium position
dU/dx should be zero
1 - 2x = 0
Hence
x = 1/2 metres

Regards
Arun (askIITians forum expert)
prasad
21 Points
6 years ago
plz also find the velocity at equlibrium position if its velocity at origin is 2m/s.

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