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If the restoring force on a body is given by: F = -kx -bv, then what is the expression for amplitude of motion? Let A be amplitude without damping forces(a) Ae^-at, where a is some constant(b) Ae^at, where a is some constant(c) A(d) 0This question was posed to me in an online interview.Question is from Oscillations topic in section Oscillations of Physics – Class 11

Answer»

Right OPTION is (a) Ae^-at, where a is some constant

To EXPLAIN: The given FORCE represents damping SHM.x(t) = Ae^-atcos(bt+c).The term Ae^-at is the amplitude which DECREASES with increase in time,until eventually the particle COMES to a stop.



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