Q. 1: (a) The force acting on the particle of mass m at time t is given by F = (acoswt)î + (bsinwt)j If the particle is initially it rest at the origin then, show that its position and velocity at any time t is given by (1– coswt)î+- (@t – sinwt)j mw? b -(1– coswt)j mw? -(sinwt)î + mw (b) Prove that for a conservative field F 6 F.dl = 0.

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Q. 1: (a) The force acting on the particle of mass m at time t is given by
= (acoswt)î + (bsinwt)ſ
If the particle is initially it rest at the origin then, show that its position and velocity at any time t is
given by
- coswt)î + ;
(@t – sinwt)j
mw?
b
(1– coswt)j
ma
- (sinwt)î + :
то
mw
(b)
Prove that for a conservative field F $ F.dl = 0.
Transcribed Image Text:Q. 1: (a) The force acting on the particle of mass m at time t is given by = (acoswt)î + (bsinwt)ſ If the particle is initially it rest at the origin then, show that its position and velocity at any time t is given by - coswt)î + ; (@t – sinwt)j mw? b (1– coswt)j ma - (sinwt)î + : то mw (b) Prove that for a conservative field F $ F.dl = 0.
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